Doctoral Research · Space Robotics Inspection with a Free-Flying Space Manipulator
A Doctoral Research Journal Aerospace Engineering

CHAIN_13 — L1 design probes: v1 falsified, lag owner located, order flipped

Date: Jun 12, 2026 (post-checkpoint, Block 2 released). What this is: the design record for lever L1 (velocity-lag feedforward). Design probes are 200 s and decide DESIGN only — adoption verdicts remain full-helix per protocol.

v1: Coriolis referencing — FALSIFIED

Design: reference the Coriolis term to the desired twist, −C(ν − ν_des), so zero-lag cruise is an exact equilibrium (the damping term already references ν_des; the arm accel feedforward M·ν̇_des is live). Implemented behind controller.arm.desired_twist.velocity_ff (default OFF; 5 validators diff=0.000e+00 OFF; engagement witnessed: first state divergence at step 2).

200 s r0 A/B (/tmp/l1_probe_{off,on}.npz):

arm cruise pe med [m] pe p99 sj med progress at t=200
OFF 0.0748 0.157 0.0063 1347
ON 0.1998 0.244 0.0346 1902

pe worsened 2.7×. Mechanism: the referenced term re-energizes the loop past the derate — sj stays above 0.025, the derate never engages, the vehicle traverses 41% more orbit at full speed with a ~0.2 m offset. The A/B arms are two different operating regimes, not one term changed. (Side observation recorded, NOT pursued: v1 near-eliminates derate dwell on this segment; any future use would be a different lever with its own registration.)

Term decomposition: who balances the stiffness term in cruise?

validation/l1_term_probe.py (recording replica of RHS34b, parity asserted each step, knob OFF, 200 s). EE-row median norms, cruise window t = 90–200 s (pe med 0.0748, sj med 0.0063 — the DEEP-DERATE regime):

C (Coriolis) D (damping) K (stiffness) COM coupling posture accel FF
0.0297 0.0040 0.0509 0.0034 0.0123 0.2214

Findings: 1. The Coriolis term is SMALLER than the stiffness term it was supposed to cancel — v1’s premise (C owns the lag) is wrong at the actual operating point. 2. The dominant RHS player is the live arm accel feedforward (M·ν̇_des, an FD-of-FD at dt = 0.03) at 4× the stiffness term — a noise-dither suspect in the floored regime, flagged for the L1-v2 design space (it is ON the registered desired-twist path). 3. The regime is the story: r0’s cruise sits below the derate floor with gains scaled ×0.25 and the hold-last inverse engaging — the study’s reframe 3 at term level: no inversion-layer/feedforward tweak acts cleanly while the arm rides the reach floor. The geometric lever (R) must come first on r0.

Consequence for the released Block-2 order

R’s full-helix A/B launches first (config-only, registered GO unconditional). L1 full-helix runs are WITHHELD pending an L1-v2 design that passes its 200 s design probe — a falsified form does not earn full-helix hours. The velocity_ff knob stays in the code, default OFF (byte-identical), documented here as v1-falsified.

regen: probes are /tmp scratch (deliberately not pinned); the term probe is validation/l1_term_probe.py; the A/B probe is two run_mission.py run --cap 200 calls (–l1 on the ON arm).