Command-to-motion models
Two candidates are fitted: delay + first-order response and delay + second-order response. Both can replay an arbitrary saved command stream using the included simulator.
Second-order equation: q̈ = ωn² (K·u(t−d) − q) − 2ζωn q̇, around the initial position. A small fitted output bias is applied separately. First-order: τq̇ + q = K·u(t−d).
Wrist joint model · trained on 2/4 mrad, tested on 8 mrad
Vertical EE model · trained on 5/10/20 mm/s, tested on 40 mm/s
Joint models from the translation run · 40 mm/s held out
This path excites J2, J3 and J4. J6 is covered by the separate wrist test; J1/J5 remain unidentified. Correlated motion along one path cannot identify cross-joint coupling.
Parameters describe local input/output response; they do not identify the robot's internal gains, inertia or network delay separately. Bias units differ: mrad for the wrist fit, mm for the vertical fit.