Platform taxonomy and specifications, mission classes, flight-dynamics and control models, and the coupling of fire-propagation models to UAV planning.
Prepared for Y. Pang · 19 August 2026 · 59 numbered references · Self-contained: equations pre-rendered, no network required
1Scope and framing
What this review covers, and how the literature actually clusters.
Research on unmanned aircraft for wildland fire is large but lopsided. Roughly two-thirds of the review literature is about seeing the fire — detection, segmentation, mapping, deep learning on aerial imagery. A much thinner body treats flying near the fire as a dynamics and control problem, and thinner still is work on acting on the fire from the air. This review is written against that imbalance: it summarizes the platform and mission landscape compactly, then spends most of its length on the modeling layer — the equations you would actually implement to simulate, plan for, or control a firefighting UAV.
The anchor surveys are Yuan, Zhang and Liu[1], which founded the field and is still the most-cited entry point; Akhloufi, Couturier and Castro[2], the standard modern reference, organizing the field into sensing, perception, cooperation and assistance; Bailon-Ruiz and Lacroix[3], which is the one survey that frames the problem through autonomy and decision-making rather than sensing; Alsammak et al.[4], a PRISMA systematic review of 51 included papers on swarm-based extinguishing specifically; Lattimer et al.[5] for the operational and regulatory view; and Boroujeni et al.[6], which analyzed over seven hundred articles and organizes them by fire lifecycle phase (pre-fire, active-fire, post-fire). Danish et al. (2025)[7] is the most recent broad survey, covering 2018–2025 with 200+ references.
Structural gap in the review literature
There is no dedicated survey of wildfire UAV path planning and none of wildfire UAV communications. Both are covered only as sections inside broader reviews, or by general (non-fire) UAV surveys. Similarly, only two of the ~18 reviews surveyed treat suppression substantively[4],[5] — the rest are detection-and-monitoring reviews.
2Mission taxonomy and operational reality
What agencies actually fly, versus what the literature proposes.
It is worth separating the two. The US Forest Service's own program documentation names aerial ignition as "the largest applicable mission set to reduce exposure," and states the agency has made large strides toward replacing helicopters for that task[8]. Detection and suppression get the research attention; ignition is what is operationally mature.
Mission classes, maturity, and platform fit
Mission
What the UAV does
Maturity
Typical platform
Aerial ignition
Dispenses delayed-ignition plastic spheres for prescribed burns, backburn, and burnout operations
Operational at scale
Heavy multirotor + sphere dispenser (Freefly Alta X / Astro + IGNIS)
IR situational awareness
Real-time thermal line-scan, perimeter update, spot-fire detection; USFS reports detecting a 2 in × 2 in spot fire from half a mile[9]
Operational at scale
M300/M350/M30T-class with H20T/H30T
Mapping / orthomosaic
Burn-scar and fuel mapping, post-fire damage assessment, pre-burn baseline
Operational
VTOL fixed-wing (Trinity Pro, WingtraOne)
Mop-up / hotspot
Radiometric IR sweep of the interior to find residual heat
Operational
Small multirotor, radiometric thermal
Night operations
Flies the window when crewed aircraft are grounded — the single strongest structural argument for UAS in fire[9]
Operational
Any IR-equipped
Comms relay
Extends radio coverage in terrain-shadowed incident areas
Emerging
Tethered (Elistair, Hoverfly)
Persistent early detection
Continuous watch over high-risk fuels; ignition-to-alert latency
Research / pre-commercial
Long-endurance fixed-wing, HAPS
Direct suppression
Water, foam, gel, or fire-ball delivery onto the flame front
Research / early commercial
Heavy multirotor, optionally-piloted helicopter, hose-tethered
Post-fire reseeding
Aerial seed-vessel dispersal over burn scars
Emerging commercial
Heavy multirotor swarm
Adoption scale (verified agency figures)
USFS FY2022: approximately 120 UAS platforms, 202 trained pilots, more than 3,800 flights, roughly 1,300 flight hours (45% of them training), ~140 hours of aerial ignition (up 58% year-over-year) and ~360 hours of fire imagery acquisition (up 22%)[10]. The national UAS program manager has stated that roughly 80% of UAS-conducted burns would otherwise have required a helicopter[11]. CAL FIRE reported 19 aircraft and 180 statewide pilots as of late 2025[12].
Constraints that shape the engineering
One pilot, one aircraft. 14 CFR 107.35 forbids a remote PIC from operating more than one aircraft simultaneously. NASA's prescribed-fire CONOPS study identifies this explicitly as the blocker for multi-drone burn operations, requiring a 90-day waiver process[13]. Every multi-UAV coordination paper in Section 8 assumes this constraint away.
BVLOS is still unsettled. The FAA's Part 108 NPRM published 7 August 2025 and the comment period was reopened 28 January 2026[14]. Claims circulating that the rule was finalized are not supported by the Federal Register record; wildfire BVLOS currently runs on Part 107 waivers or public-aircraft COAs.
Airspace deconfliction. Wildfire TFRs under 14 CFR 91.137 and the USFS "If You Fly, We Can't" campaign address intruder drones grounding crewed aircraft — the operational reason agency UAS integration is conservative.
3Platform taxonomy and specifications
Configurations, verified specifications, and what each class can physically do.
Five configuration classes appear in wildland fire work, separated less by aerodynamics than by what the mission demands of endurance, payload mass, and hover capability:
Heavy-lift multirotor — 10–35 kg MTOW, tens of kilograms of payload, hybrid gas-electric propulsion when endurance matters. Ignition and cargo.
Fixed-wing and VTOL hybrid — 1.5–3 h, wide-area coverage, no hover. Mapping and persistent watch.
Unmanned / optionally-piloted helicopter — turbine-powered, thousands of kilograms of external load. The only class with airtanker-adjacent suppression capability.
Tethered and lighter-than-air — endurance decoupled from onboard energy. Overwatch and comms.
3.1 ISR multirotors and thermal payloads
Small ISR multirotors used by fire agencies
Platform
MTOW
Payload
Endurance
Max speed
Ceiling
Notes
DJI Matrice 350 RTK
9.2 kg
0.96 kg/gimbal
55 min
23 m/s
5,000 m†
IP55; agency workhorse; TB65 263 Wh
DJI Matrice 300 RTK
9.0 kg
0.93 kg/gimbal
55 min
23 m/s
5,000 m†
IP45; 12 m/s wind limit
DJI Matrice 400
15.8 kg
6 kg
59 min‡
25 m/s
7,000 m
Integrated 360° LiDAR, 6-dir mmWave radar
DJI Matrice 30T
4.07 kg
integrated
41 min
23 m/s
5,000 m†
640×512 thermal, LRF 3–1,200 m; rapid deploy
DJI Matrice 4T / 4TD
1.43 kg
integrated
49 min
21 m/s
6,000 m
LRF to 1,800 m; 4TD is dock-capable
Autel EVO II Dual 640T
1.15 kg
integrated
38 min
20 m/s
7,000 m
NDAA alternative; ±3 °C radiometric
Skydio X10
2.13 kg
385 g
40 min
20 m/s
4,570 m
Jetson Orin onboard; obstacle-tolerant autonomy
Parrot ANAFI USA
0.64 kg
integrated
32 min
14.7 m/s
5,000 m
FLIR Boson 320×256; 8 in USFS FY22 fleet
† 7,000 m with high-altitude propellers. ‡ With H30T, no wind. All figures from manufacturer specification pages.
Thermal payloads — the sensing bottleneck for fire work
Payload
Thermal resolution
NETD
Temperature range
Mass
Zenmuse H20T
640×512, 8–14 µm
≤50 mK
−40 to 150 °C / −40 to 550 °C
828 g
Zenmuse H30T
1280×1024 @ 30 fps, uncooled VOx
≤50 mK
−20 to 150 °C / 0–600 °C (1600 °C with filter)
920 g
M30T integrated
640×512
≤50 mK
—
integrated
The jump from 640×512 to 1280×1024 on the H30T, with 32× thermal digital zoom and a 3,000 m laser rangefinder, is the single most consequential recent change for perimeter mapping: it roughly doubles the standoff at which a given ground sample distance is achievable, which matters directly for plume avoidance (Section 5.5).
3.2 Aerial ignition systems
Aerial ignition is the mature suppression-adjacent mission, and the hardware is effectively single-vendor. Drone Amplified's IGNIS line dispenses potassium-permanganate spheres injected with antifreeze; ignition follows the injection by a controlled delay after the sphere lands.
Plastic-sphere dispenser systems
System
Capacity
Drop rate
Sphere
Empty mass
Host aircraft
IGNIS II
450 spheres
≤120/min
25 mm
1.83 kg
Freefly Alta X (>30 min); DJI M-series in agency use
IGNIS III Mini
225 spheres
≤120/min
19 mm, 2.4 g
1.25 kg
Freefly Astro; 22–30 min loaded; integrated UAS 7.46 kg
Note the modeling relevance: at 120 spheres/min the IGNIS II sheds 450 × ~5 g in under four minutes — a slow, roughly linear mass ramp that is benign for control, in sharp contrast to a liquid dump (Section 5.1). The mass-flow rate, not the total mass, is what determines whether the variable-mass terms matter.
3.3 Fixed-wing and VTOL hybrids
Long-endurance mapping and ISR platforms
Platform
Configuration
MTOW
Endurance
Cruise
Ceiling
Propulsion
WingtraOne GEN II
Tailsitter VTOL
4.8 kg
59 min
16 m/s
n/p
Electric
Quantum Trinity Pro
VTOL fixed-wing
5.75 kg
90 min
17 m/s
5,500 m
Electric
Quantum Vector AI
eVTOL fixed-wing
9.5 kg
180+ min
15–20 m/s
4,000+ m
Electric
senseFly eBee TAC
Hand-launched FW
1.3–1.6 kg
90 min
11–30 m/s
n/p
Electric
AeroVironment Puma 3 AE
Hand-launched FW
7 kg
2.5 h
13.6 m/s
3,048 m
Electric
Insitu ScanEagle
Catapult FW
28 kg
18 h
41 m/s
5,950 m
Heavy-fuel / gasoline
NASA SIERRA
Fixed-wing UAS
218 kg
9 h
31 m/s
3,960 m
n/p
The endurance spread here — 59 min to 18 h — is essentially a propulsion-chemistry spread. Every sub-2-hour platform in the table is battery-electric; ScanEagle's 18 hours comes from a heavy-fuel piston engine. This is the practical reason persistent fire watch is not a solved problem with COTS electric aircraft.
Sling load / external hook; firefighting named as target application
Rain + Sikorsky Black Hawk (MATRIX)
Optionally-piloted helicopter
324 gal Bambi Bucket
—
Autonomous bucket drop with wind compensation; 2024 tests extinguished propane fire rings in 8–10 kt crosswind
Parallel Flight Firefly
Hybrid gas-electric multirotor
45 kg
1.4 h at full payload
Cargo sling / payload bay; 2 kW continuous onboard power
Drone Hopper Wild Hopper
Heavy multirotor
600 L (EU H2020 platform)
n/p
Proprietary water nebulisation, not bulk dump
Freefly Alta X
Heavy multirotor
15.06 kg
~22 min at 10 kg
Host for IGNIS; MTOW 34.86 kg
EHang 216F
Coaxial multirotor eVTOL
100 L foam + 6 dry-powder projectiles
21 min
High-pressure nozzle, ~3.5 min discharge — urban high-rise, not wildland
Caution on vendor claims
Specifications for Chinese heavy-lift firefighting UAVs (100–150 kg payload claims) appear only on B2B trading portals with no manufacturer-grade or agency documentation, and should not be cited. Rain publishes no aircraft-level specifications — it supplies mission autonomy software layered onto host aircraft. K-MAX TITAN's service ceiling and firefighting bucket capacity are not published.
3.5 Tethered and stratospheric platforms
Tethering decouples endurance from onboard energy entirely. The Elistair Orion 2 sustains 24 hours at 100 m on a micro-tether carrying 2 kg of georeferenced EO+IR; Hoverfly's Spectre runs effectively continuously at up to 60 m on <2 kW, passing all video and data down the tether so there is no RF signature to jam or deconflict. Both are overwatch-and-relay assets for the incident base rather than fire-front sensors. At the other extreme, Sceye's stratospheric airship targets ignition detection "within minutes" from 55,000–65,000 ft with pre-commercial flights planned for 2026 — no operational fire-agency deployment is verified.
4Flight dynamics models
The standard rigid-body layer, stated in the form used in the UAV literature, before the firefighting-specific terms are added in Section 5.
4.1 Six-degree-of-freedom rigid body
Notation: inertial NED frame, body frame, mapping body to inertial, the skew map. The 12-state vector standard to Stevens & Lewis[15] and Beard & McLain[16] is
with kinematics and the Euler-rate relation
The terms give the gimbal-lock singularity at — the reason quaternion or formulations are used for tail-sitters and for aggressive plume-avoidance maneuvers.
Newton–Euler, constant mass (the variable-mass case is Section 5.1):
4.2 Multirotor specifics
Per-rotor thrust and drag torque, following Mahony, Kumar and Corke[17]:
The explicit dependence is the hook for hot-air thrust loss near a fire front (Section 5.5) — it is why the same aircraft has materially different authority over a flame front than in the pre-flight check.
Control allocation for an X-configuration quadrotor with arm length inverts the mixer
For rotors the mixer is and allocation becomes a pseudo-inverse or a constrained QP. The same QP structure reappears for steerable water-jet nozzles in Section 5.2.
Secondary aerodynamics that matter near a fire
Blade flapping. Advance ratio tilts the tip-path plane by , producing a force opposing motion and a hub moment. This is the dominant pitch-up/speed-stability coupling.
Rotor drag, lumped as — the term that makes multirotor velocity observable from accelerometers alone.
Ground effect, Cheeseman–Bennett: , exceeding 10% thrust augmentation below . Directly relevant to low hovers over a fire front and to bucket dipping over water.
Control structure and controller families
The standard cascade exploits the ~10× timescale separation between attitude (200–1000 Hz) and position (50–100 Hz) loops. For firefighting the choice among controller families is not arbitrary:
Controller families against firefighting-specific disturbances
Controller
Key idea
Fit to firefighting
Cascaded PID
Gains on
Baseline. Integral term absorbs slow mass loss but causes the balloon-up transient at fast release
LQR
on the hover linearization
Good near hover; degrades badly under large jet-reaction disturbance
Backstepping
Recursive Lyapunov construction through the cascade
Handles the underactuated structure exactly
Sliding mode / super-twisting
,
Robust to bounded matched disturbances — nozzle recoil, gusts. Chattering mitigated by super-twisting
Strongest structural fit. Rejects unmodeled reaction forces and mass changes without needing a disturbance model — precisely the firefighting failure mode
Trajectory generation rests on differential flatness with flat outputs [20], reducing planning to a QP in piecewise-polynomial coefficients minimizing snap — the basis for fast drop-run and perimeter-following trajectories.
4.3 Fixed-wing and VTOL hybrid
Fixed-wing fire-monitoring work almost universally abstracts the vehicle to a Dubins car at constant altitude and airspeed with bounded turn rate, , giving minimum turn radius . This is what makes perimeter-tracking and coverage planning tractable, and it is the abstraction underlying most of Section 8. The full model retains the coefficient build-up and its drag and moment counterparts[16].
VTOL hybrids (quad-planes, tail-sitters) add a transition phase in which the aircraft passes through deep stall at from roughly 15° to 90°, where quasi-steady coefficient models fail and a blended or flat-plate post-stall model is used. Transition is the highest-risk flight phase for these aircraft and is where the formulation stops being optional.
5Firefighting-specific dynamics
The terms that distinguish a firefighting UAV from generic aerial robotics. This is the least-surveyed part of the literature and the most consequential for anyone building a simulator or controller.
5.1 Variable-mass dynamics during agent release
For a vehicle ejecting mass at rate with exhaust velocity relative to the airframe, the body-frame translational equation gains two families of terms the constant-mass model omits:
and the rotational equation must retain :
Dropping is the usual simplification and is defensible for slow discharge. It is not defensible for a fast dump where a 5 L tank empties in ~2 s.
With airframe and liquid , the composite CG and inertia are
Three consequences dominate practice:
Thrust-to-weight doubles. A 10 kg multirotor carrying 5 L changes by a factor of two through a full dump. A PID integrator wound up for the loaded condition produces a balloon-up transient at release — the most commonly reported failure mode.
Loop gain doubles. Effective plant gain doubles, so nominal gains become 2× hotter and can limit-cycle. Mass-scheduled gains, adaptive control, or INDI (inherently gain-normalizing) are the fixes.
Asymmetric release produces a constant roll torque for a lateral CG offset — a bias a pure P/D attitude loop cannot null.
Sloshing
The standard reduction replaces the liquid with a rigid mass plus equivalent pendulums. For a rectangular tank of width and fill depth , the first antisymmetric mode is
Typical is 0.005–0.05 for smooth walls; baffles raise it by roughly an order of magnitude.
The slosh–control interaction
As the tank drains, so : the slosh frequency sweeps downward through the attitude-loop crossover. A resonance encounter during any partial discharge is therefore guaranteed, not accidental. This is the classical aerospace slosh problem transplanted to a vehicle whose control bandwidth is an order of magnitude higher and whose mass ratio is far worse.
5.2 Water-jet reaction and hose-tethered architectures
Nozzle recoil is the defining disturbance of active-suppression UAVs. From Bernoulli with discharge coefficient and momentum flux:
For an ideal nozzle, . The US fire-service smooth-bore rule (inches, psi, lbf) is exactly this relation in customary units.
The magnitude is the point. A 6 mm nozzle at 0.8 MPa gives and N — comparable to the entire weight of a 4.5 kg aircraft. Recoil is not a perturbation. Two further non-ideal effects are documented: water-hammer transients on valve actuation reaching 2–3× steady state (Joukowsky, ), and persistent broadband two-phase flow fluctuation[21].
Four architectural responses appear in the literature:
Treat recoil as an unbounded disturbance and estimate it online. Ni et al.[21] model it as in with unknown a-priori bounds, using adaptive robust constraint-following (Udwadia–Kalaba style) on a vector-rotor UAV.
Full actuation. Tilting rotors generate direct lateral force to cancel recoil without an attitude excursion[22].
Turn recoil into lift. Viegas et al.[23] combine multi-rotor and water-jet propulsion on a tethered forest-firefighting UAV so the jet contributes to lift, extending endurance rather than fighting it.
Levitate the hose itself. The Tohoku "Dragon Firefighter" line[24],[25] dispenses with the airframe: a hose is levitated and steered by its own jets. Yamauchi et al.[25] give the complete hydraulic-network model — six coupled Bernoulli equations for head and middle unit pressures driven by a root pressure ≤0.9 MPa through resistance elements,
with 6 mm nozzles at 0.8 MPa reaching an 80 N total reaction target, and a 100 Hz quadratic program distributing the desired wrench across four steerable nozzles under angle and rate constraints. That QP is structurally identical to rotor control allocation (Section 4.2), with jets substituted for rotors.
For a hose-fed aircraft, the hose is not a boundary condition but a distributed dynamic element. Hament and Oh[26] import the pipes-conveying-fluid formulation,
The term acts as a compressive follower load, producing divergence or flutter above a critical internal flow velocity ; the term is gyroscopic. Practically, the hose adds a state-dependent tether tension pulling the vehicle toward the anchor and can go unstable at high flow rate.
5.3 Slung load and suspended bucket
The helicopter bucket, scaled down. For quadrotor mass , load , cable length and unit vector , the taut-phase dynamics are
When the cable goes slack, the bodies decouple, and the load free-falls: the system is hybrid, with impulsive taut↔slack transitions. Sreenath, Michael and Kumar[27] showed the load position and yaw form a flat output set for this hybrid system, enabling trajectory generation that plans through mode switches.
The design-level result is the small-angle reduction , giving . A 2 m sling yields 2.2 rad/s ≈ 0.35 Hz — inside the position-loop bandwidth of a typical multirotor, so the outer loop excites the pendulum unless it is notched, input-shaped, or explicitly damped. A full water bucket gives mass ratio , at which the load appears in the attitude loop as well. And a water bucket nests slosh inside the swing, producing a double-pendulum cascade with , terminated by a variable-mass event at dump.
5.4 Drop ballistics and ground pattern
For a compact payload — fire-extinguishing ball, gel capsule — released with vehicle velocity :
with vacuum baseline , horizontal miss , and crosswind miss where is the drag relaxation time. The error budget — release-timing jitter , wind-estimate error , position error , attitude error — scales with or in every term, so low release altitude dominates accuracy. That is in direct tension with plume-updraft and thermal safety (Section 5.5), and this tension is the central design trade for autonomous suppression.
A bulk liquid drop is not a ballistic particle. The sequence is column formation → aerodynamic breakup → droplet dispersion → deposition, governed by
Bag breakup above , shear breakup above . Gum-thickened retardants are shear-thinning and elastic, which suppresses breakup — the reason they deposit as a coherent line rather than misting away.
The operational output is the ground pattern: coverage level in gal/100 ft² or L/m², and the length of contiguous line built at or above a threshold (typically 1–3 gal/100 ft² by fuel model). Amorim's two-part model[28],[29] is the standard numerical treatment.
Scaling caveat
Small-UAV payloads (1–20 L) sit in a completely different Weber-number and mass regime than airtanker drops (2,000–40,000 L). Airtanker ground-pattern correlations supply the modeling framework, not the coefficients. There is no validated UAV-scale drop-pattern model in the open literature.
5.5 Wind, plume updraft, and hot-air thrust loss
Decompose the wind field as : steady, turbulent, and fire-induced. Only the first two appear in the classical UAV literature. Background turbulence uses Dryden or von Kármán shaping filters (MIL-HDBK-1797), e.g.
Low-altitude parameters: , . Both models assume homogeneous, isotropic, frozen turbulence — a fire plume is none of these, so Dryden belongs as background, with the plume superposed separately.
For the plume term, Byram fireline intensity sets a buoyancy flux, and the Morton–Taylor–Turner similarity solution gives centerline velocity and radius
Updraft decays only as . A small UAV at 100–150 m over an active front therefore sits in a broad, persistent updraft core, not a transient gust.
The empirical anchor: Shawon et al.[30] flew a fixed-wing through prescribed-grass-fire plumes and estimated vertical wind of 6–10 m/s at ~115 m AGL using 2-state and 9-state EKFs on inertial angle-of-attack and sideslip — comparable to or exceeding the climb-rate authority of many small multirotors and enough to saturate a fixed-wing altitude loop. Brewer and Clements[31] profiled the fire environment with a DJI M200 carrying a TriSonica Mini at 5 Hz, documenting super-adiabatic layers and surface inversions with ~±1 m/s wind accuracy.
A tractable disturbance model for control design is a Gaussian-cored, position-dependent mean field plus scaled turbulence:
Because this is state-dependent rather than stochastic, it is feedforward-compensable given a fire-location estimate — the strongest argument in this domain for closing perception into the control loop (Section 7.3).
Hot air, thrust, and battery
Since and , at constant RPM . Going from ISA 288 K to 333 K (60 °C, plausible near a front) costs 13.5% of density; 288 K to 400 K (inside a plume) costs 28%. Holding thrust requires , and shaft power rises as — required power increases precisely when battery capability is degrading. Compounding it: copper winding resistance rises as , roughly +30% at 100 °C, NdFeB remanence falls ~0.12%/K reducing , and convective cooling is worse in hot air. Thrust margin should be evaluated at fire-environment density altitude, not sea-level ISA.
6Energy and endurance models
Endurance is the binding constraint on almost every wildfire UAV mission, and the energy model is what couples the dynamics layer to the planning layer.
6.1 Momentum-theory formulation
Induced power in hover, with induced-power factor :
and in forward flight, with Glauert induced velocity ,
This produces the characteristic U-shaped power curve, defining (maximum endurance) and (tangent from the origin) — the two speeds a fire-monitoring UAV actually flies.
The equivalent form used throughout the communications and path-planning literature, from Zeng, Xu and Zhang, collapses the same physics into four fitted constants:
blade profile power, induced power, blade tip speed, hover induced velocity, fuselage drag ratio, rotor solidity. This is the form Diller and Han[32] embed directly into their path planner.
6.2 Payload penalty — why multirotor suppression is hard
In hover and , so endurance scales as . Adding 5 kg of water to a 10 kg airframe gives — a 46% endurance loss on the induced-power term alone, before accounting for the battery mass that must also be lifted.
The structural consequence
This exponent is why direct multirotor suppression is confined to spot and interior work, and why the two architectures that circumvent it — tethered/hose-fed systems that externalize water mass and shore power[23],[26], and turbine-powered unmanned helicopters that carry tonnes — are the two that have produced credible suppression demonstrations.
6.3 Empirical and learned energy models supplied papers
Analytic momentum-theory models are structurally correct but poorly calibrated for sub-2 kg aircraft. Cabuk, Tosun, Dagdeviren and Ozturk[33] address this directly, building four energy models for drones under 2 kg and 1 m diameter from an extensive flight-test campaign and comparing them:
Cabuk et al. (2024) — four energy models compared[33]
Model
Form
R²
MAE (W)
Best use
Theoretical (force-component)
;
0.719
16.0
Insight into hardware changes; not for serious calculation
Simple linear regression
~0.72
18.4
Quick estimates; misses nonlinearity
Cubic polynomial regression
0.966
—
Extrapolation beyond the measured envelope
XGBoost regressor
Gradient-boosted trees on
0.9999
—
Interpolation within training range only — cannot extrapolate
The physically interesting result is an energy-efficient "valley" in airspeed: power is minimized at an intermediate speed and rises on both sides. The valley's location moves with mass — measured minima at roughly 6 m/s for 1102 g, 10 m/s for 1418 g, and 12.5 m/s for 1734 g, at approximately 130 W, 170 W and 200 W respectively, against ~250–330 W at a constant 20 m/s. The paper also derives a swarm topology-control cost function for evaluating connectivity restoration and formation change in energy terms.
Two implications for fire work. First, the optimal cruise speed is payload-dependent — a UAV that has just dropped its water should fly home slower than it flew out, and a fixed cruise setpoint is leaving endurance on the table. Second, this is the empirical validation of the U-curve that path planners assume; for the polynomial form means the analytic structure is right and only the coefficients need fitting per airframe.
6.4 Energy-aware planning with adaptive speed supplied paper
Diller and Han[32] close the loop from the energy model to the route. Rather than treating speed as fixed, they exploit the fact that total distance achievable is
which peaks at some ; flying at maximum speed strictly reduces range. Inverting gives the maximum speed achievable for a required distance, approximated as .
They formalize the resulting problem — Minimum-Time while On-The-Move — as a multiple-depot, multiple-terminal Hamiltonian path problem with a non-stopping ground vehicle, and solve it two ways: a MINLP tailored to optimize UAV speed, and a tractable k-means-plus-integer-program heuristic. Reported completion-time reductions against baseline are 23.8% (MINLP) and 14.5% (k-IP), validated on a physical testbed.
The transfer to wildfire is direct and, as far as this review found, unexploited: a fire-monitoring UAV rendezvousing with a moving engine or crew buggy for battery swap is exactly the MT-OTM structure, and the observation that speed is a planning decision variable, not a constant is the piece most wildfire coverage planners omit.
7Fire propagation models and their coupling to UAV planning
The fire is a moving, uncertain, partially-observed boundary. How it is modeled determines what the planner and the estimator can do.
7.1 The Rothermel kernel and what is built on it
Rothermel's 1972 surface-spread model[34] is the kernel inside BEHAVE, FARSITE, FlamMap, FSim, ELMFIRE, Cell2Fire, and most cellular-automaton simulators used in UAV studies. It computes a quasi-steady one-dimensional rate of spread of the flaming front of a surface fire through a homogeneous, dead-fuel-dominated fuel bed, from an energy balance of heat source over heat sink:
Reaction intensity — heat release rate per unit area of the front
Btu·ft⁻²·min⁻¹
Propagating flux ratio — fraction of heating adjacent unburned fuel
—
Wind and slope multipliers on propagating flux
—
Oven-dry bulk density of the fuel bed
lb/ft³
Effective heating number — fraction of a particle heated to ignition
—
Heat of preignition
Btu/lb
It does not model crown fire, spotting, transient acceleration, or fire–atmosphere feedback. Everything a UAV planner might want from it — where the front will be in ten minutes — is downstream of assumptions the model does not itself check.
Growth simulators and their propagation mathematics
The workhorse of UAV simulation studies; cheap, differentiable-ish, RL-friendly
7.2 Level-set form and fire-front estimation
For estimation the level-set formulation is the right one, because it is a PDE on a scalar field rather than a list of markers, and it handles merging and topological change automatically:
Three filtering formulations appear in the literature:
Parameterized-perimeter EKF/KF. Discretize the perimeter into nodes (or a Fourier parameterization ), state , measurement from UAV IR/visual front-crossing detections. Lin and Liu[42] run this with a fleet of UAVs and use it to schedule coverage. Observability is the crux: a single UAV sees only a local arc, so covariance grows on unvisited segments — and that growth is exactly what drives information-driven path planning.
Particle filter / SMC. Preferred when the posterior is multimodal (spotting, barrier breaching) and latent fuel-moisture and wind-aloft parameters must be estimated jointly. The natural home for data assimilation of UAV imagery into a coupled fire–atmosphere model.
Bayesian occupancy grid over burning/burned/unburnt cells with per-cell IR detection likelihood — a hidden Markov field, well matched to camera footprints.
The perception front-end geo-registers fire/smoke segmentations by projecting detections through the camera model onto a DEM using UAV pose, so attitude-solution error propagates directly into perimeter measurement noise. The estimation quality of Section 4.1 is upstream of the fire estimate.
7.3 Closing the loop
The structurally distinctive feature of this domain
The fire estimate is not only a mission output — it is a disturbance-model input. Given estimated front and intensity , one can predict the plume field of Section 5.5 and feed it forward into the position controller, as an MPC preview or as a state-dependent term in an INDI disturbance observer. Conversely, the UAV's own wind estimate[30] is a measurement of the plume that updates . This bidirectional perception↔control coupling has no analogue in generic aerial robotics, and almost nothing in the reviewed literature exploits it.
7.4 Simulators and RL environments
MITRE's SimFire implements Rothermel spread with a PyGame front-end and a historical data layer; SimHarness[43] is the RL harness on top of it, training agents to place mitigations. PyroRL[44] is a Gymnasium environment but targets evacuation routing rather than UAV sensing. On the planning side, Julian and Kochenderfer[45] applied deep RL to multi-aircraft wildfire surveillance over a stochastic gridded fire model, and Seraj, Silva and Gombolay[37] give the cleanest example of a genuine simulator-in-the-loop planner: an adaptive extended Kalman filter infers latent propagation dynamics, FARSITE supplies the spread, and a TSP formulation produces the multi-UAV paths, with analytical temporal and tracking-error bounds and reported tracking error 7.5–9.0× smaller than baselines.
8Multi-UAV coordination, coverage, and search
Where the fire-specific literature meets the general autonomy literature — and where transferable results sit.
8.1 The fire-specific lineage
Three groups define the canon. Casbeer, Kingston, Beard and McLain[46] established cooperative perimeter tracking with a team of small fixed-wing UAVs — still the most-cited multi-UAV wildfire paper and the origin of the "regulate the fire/no-fire boundary in the image" control law. The Seville group's COMETS project[47] built the heterogeneous multi-UAV system (helicopters plus airships) with cooperative perception, culminating in Merino et al.'s automatic fire monitoring and measurement system[48] validated in real field fires, measuring front position, height and width. LAAS-CNRS (Bailon-Ruiz, Bit-Monnot, Lacroix) contributed the planning-centric line, from the autonomy-lens survey[3] to real-time fleet monitoring[49]. Pham, La, Feil-Seifer and Deans[50] added distributed formation control for dynamic fire-front tracking, and Seraj and Gombolay[37] the QoS-guaranteed coverage-and-tracking formulation.
8.2 Transferable results from the general autonomy literature supplied papers
Two of the supplied papers are not wildfire papers, and that is precisely their value — each supplies a mechanism the wildfire literature is missing.
Coverage under a connectivity constraint
Devaraju, Ihler and Kumar[51] address the fundamental tension between area coverage and network connectivity in decentralized fixed-wing UAV networks. Pure repulsion-pheromone (stigmergic) models achieve fast coverage by pushing UAVs apart — and thereby break the network. Their connectivity-aware pheromone (CAP) model weights each candidate next-waypoint cell by both pheromone value and estimated local connectivity. The pheromone map evolves with evaporation and repulsion-deposit ,
with a distance-weighted pairwise connectivity that saturates inside 60% of transmission range and falls linearly beyond it:
Evaluated over a 6 km × 6 km area with 20–40 UAVs at 1 km transmission range and speeds of 20–40 m/s, averaged over 30 runs, CAP improves coverage time and fairness over both the repel-pheromone and CACOC2 baselines while maintaining higher average neighbour count. The wildfire relevance is direct: a fire-monitoring fleet without a connectivity term will spread out to cover the perimeter and lose the mesh exactly when relaying observations matters most — and no fire-specific paper in this review treats coverage and connectivity jointly.
Complete search in cluttered unknown space
Luo et al.'s Star-Searcher[52] targets autonomous target search in complex unknown environments — structurally the mop-up and search-and-rescue problem. Its two mechanisms are worth importing. Visibility-based viewpoint clustering groups viewpoints with mutual collision-free rays into clusters, decomposing planning into a global path over clusters and a local path over individual viewpoints, so real-time replanning stays tractable as the viewpoint count grows. A history-aware global planner penalizes motion inconsistency from frequent map changes, suppressing the indecisive back-and-forth that frontier-based planners exhibit when new area keeps appearing. Against FUEL baselines across four environments, Star-Searcher shortened path length and flight time while achieving 100% search completeness in every trial, where FUEL-4m dropped to 68.8–95.0%.
Viewpoint scoring uses a weighted information gain , separating "unknown space to explore" from "known surface to inspect." That separation maps cleanly onto wildfire mop-up, where the interior is mapped but not yet inspected for residual heat — a distinction current wildfire coverage planners, which treat the problem as pure area coverage, do not make.
8.3 Coverage and informative path planning
Beyond these, the relevant families are coverage path planning with energy-efficient and cooperative strategies, informative path planning for terrain monitoring, and decentralized importance-based multi-UAS planning for wildfire monitoring, where cells are weighted by expected information rather than treated uniformly. The common thread with Section 7.2 is that the planner should be driven by the estimator's covariance, not by a geometric coverage criterion — the fire moves, so uniform coverage is provably wasteful.
9Datasets and benchmarks
What exists, what it supports, and the one thing none of it supports.
Smoke / fire / person labels; night, tree-occlusion, smoke-occlusion scenarios
RGB-T fusion
FLAME 3's radiometric TIFFs are the qualitative advance: preserving temperature rather than a rendered palette makes threshold-based auto-labeling possible and, more importantly, makes it possible to measure spread rate and energy release from UAV imagery rather than merely detect fire.
The dataset gap that matters mostThere is no aerial dataset with fire-spread ground truth in time. Every benchmark above is a detection or segmentation benchmark. FLAME 3's repeat nadir thermal plots (every 3–5 s with ground control points) are the closest thing that exists to a propagation-model validation set. Anyone coupling UAV sensing to a spread model is currently validating against a simulator, not against measured fire behaviour.
10Gaps and research directions
Where the modeling literature is thin, ordered by how load-bearing the gap is.
No validated UAV-scale drop model. Airtanker ground-pattern work[28],[29] operates 2–4 orders of magnitude away in volume and in Weber number. There is no published coverage-level model for a 1–20 L release, so no principled way to answer whether a given small-UAV drop does anything useful to a fire.
Plume dynamics are not in anyone's controller. The plume field is a state-dependent, feedforward-compensable disturbance with measured magnitudes of 6–10 m/s vertical at 115 m AGL[30]. Yet the fire estimate and the flight controller remain separate subsystems in essentially all reviewed work. Coupling them — MPC preview from , or a plume term in an INDI disturbance observer — is the most concrete unexploited opportunity in this domain.
Variable-mass and slosh dynamics are borrowed, not derived. The best available treatments come from agricultural spraying and spacecraft propellant slosh. The firefighting case is worse than both: faster discharge, higher mass ratio, higher control bandwidth. The guaranteed downward sweep of slosh frequency through attitude-loop crossover during partial discharge (Section 5.1) has, as far as this review found, never been analyzed for a firefighting UAV.
No standard multi-UAV wildfire planning benchmark. Bailon-Ruiz, Pham/La and Seraj/Gombolay each built a different simulator with a different fire model (custom propagation, custom CA, FARSITE respectively). Cross-paper comparison is effectively impossible. SimFire/SimHarness is the most plausible base for a shared benchmark but is mitigation-oriented rather than sensing-oriented.
Coverage and connectivity are optimized separately. The wildfire literature optimizes coverage; the networking literature optimizes connectivity[51]. A fire fleet needs both simultaneously, and the joint problem is unaddressed in the fire-specific work.
Speed is treated as a constant. The energy models[33] show a mass-dependent optimal-speed valley, and the planning literature[32] shows that making speed a decision variable buys double-digit percentage improvements. Wildfire coverage planners almost universally assume fixed airspeed, and the payload-dependence of the optimum is exactly the regime an ignition or suppression UAV lives in.
Regulatory structure shapes the achievable architecture. One-pilot-one-aircraft[13] and unsettled BVLOS[14] mean that every multi-UAV result in Section 8 currently requires a waiver to fly. Research that assumes swarms should say so; research that works within the constraint — one supervised aircraft with high onboard autonomy — is closer to deployable.
If you are building a simulator or a controller
The minimum viable firefighting-UAV model that is not misleading: 6-DOF rigid body (§4.1) with X-mixer allocation (§4.2), variable mass with moving CG and retained (§5.1), an equivalent-pendulum slosh state per tank (§5.1), jet reaction as applied at the nozzle offset (§5.2), Dryden background turbulence superposed with a Gaussian-cored plume field scaled by estimated fireline intensity (§5.5), density evaluated at fire-environment temperature (§5.5), and a fitted energy model rather than pure momentum theory (§6.3). Every one of those terms has been shown to be first-order for at least one firefighting mission.
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