ESC actuator fast slice horizon h=100

ADVANTAGES3 · dim 8

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

ESC+motor reduced model (dim=8, S3) with extended integration horizon h=100. Isolates fast electrical modes over longer time windows.

Drone dynamics & autonomy

Problem definition

Quan (2017) Introduction to Multicopter Design and Control; Stevens et al. (2016) Aircraft Control and Simulation

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs_A2b(t, y):
    currents, omegas = y[:4], y[4:8]
    omega_des = _OMEGA_HOVER
    duty = np.clip(0.5 + 0.1 * (omega_des - omegas) / omega_des, 0.0, 1.0)
    V_applied = duty * _V_BUS

    di = (V_applied - _R_PHASE * currents - _KB_ESC * omegas) / _L_PHASE
    torque_em = _KT_ESC * currents
    torque_load = _CQ * omegas * np.abs(omegas)
    domega = (torque_em - torque_load) / _J_ROTOR

    return np.concatenate([di, domega])
Parameters
  • _CQ = 1.5e-07
  • _J_ROTOR = 5e-06
  • _KB_ESC = 0.01
  • _KT_ESC = 0.01
  • _L_PHASE = 5e-05
  • _OMEGA_HOVER = 500
  • _R_PHASE = 0.15
  • _V_BUS = 12
Initial condition
y(0) = [2, 2, 2, 2, 500, 500, 500, 500]
Horizon
t ∈ [0, 100]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: low

Default noise: none

Recommendation snapshot

Clean best: SciPy BDF

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: ESC actuator fast slice horizon h=100 (esc-actuator-fast-slice-horizon-h-100)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SciPy BDFSciPy
100%
15.751122 ms0.992
2SciPy LSODASciPy
100%
15.76279 ms0.992
3CVODE BDFexternal
100%
15.734212 ms0.992
4SolvSRK
100%
15.71,40831 ms0.992
5SciPy RadauSciPy
100%
14.61,46442 ms0.966
6SciPy DOP853SciPy
100%
11.3529,9708.58 s0.889
7CVODE Adamsexternal
100%
11.279520 ms0.886
8SciPy RK45SciPy
100%
10.1597,00810.26 s0.859
9SciPy RK23SciPy
100%
9.9338,5106.08 s0.855
10Tsit5external
100%
9.8614,47858.71 s0.853

At Clean, best balanced arm is SciPy BDF · SolvSRK survival 100%, SCD 15.7.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_esc_actuator_fast_slice_horizon_h_100_2026,
  title        = {Resonix Evidence Portal: ESC actuator fast slice horizon h=100},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/esc-actuator-fast-slice-horizon-h-100}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status