Analytical reference: the report uses a causal controller without preview and an ideal instantaneous unity-gain plant. For a reference jump D, action limit L = 12 counts and nominal interval Δt = 0.12 s, its slew-only contribution is:
B(D) = Δt × Σ max(D − kL, 0), for k = 1 … ceil(D/L).
The three jump magnitudes are 768, 1,536 and 1,408 counts. Their contributions are 2,903.04, 11,704.32 and 9,828.00 count-seconds. The above-floor remainder still includes plant dynamics; it is not described as entirely controllable error. This decomposition was derived after the physical results were known. The raw nominal scoring and completed traces were unchanged.
Physical protocol: FARO Compacta V2 + OAPA V11, with adaptation enabled, and a fixed R6 PID ran on the host through a CH32V307VCT6 physical RC plant and DAC/ADC path. Both received 384 MEDIUM preparation decisions. Each scored profile used 540 decisions at a nominal 120 ms interval with a 12-count action limit. Mutation was manual between powered-off blocks.
Completed-record status: the final profile runs reported zero cycles above 150 ms and comparable pair timing. The combined record explicitly sets physical_comparative_claim_allowed=false because of the contact intervention between FAST and SLOW; it is retained as a descriptive consolidation rather than an uninterrupted mutation experiment.
Secondary metrics: mean tail RMSE 1.581 for FARO versus 5.079 for PID; total DAC variation 23,826 versus 20,770. Command variation is not converted into motor energy, wear or battery-life claims.
The report’s proposed next comparisons are dated to 29 October. The subsequently completed PID Oracle and RLS-CE studies are presented separately above.
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