02a675c152
Stand up reachability/ with a hand-rolled zonotope propagator for linear closed-loop systems (reach_linear.m: axis-aligned box hull, augmented-matrix integration for the disturbance convolution). Use it in reach_operation.m to discharge the operation-mode safety obligation: from a +/-0.1 K box on T_avg, under Q_sg in [85%, 100%]*P0, LQR keeps T_c within 0.03 K of setpoint over 600 s. Safety band is +/-5 K, so the obligation is satisfied with five orders of margin. barrier_lyapunov.m attempts the analytic counterpart via a weighted Lyapunov function. Sweeping the Qbar(T_c) weight, the best quadratic barrier allows ~33 K deviation on the gamma level set — still outside the 5 K safety band. This is a fundamental limitation of quadratic barriers for anisotropic safety specs (thin-slab safe set in a precursor-heavy state space). Documented in the file: next step for a tight analytic certificate is SOS polynomial or polytopic barrier, which need solvers we don't have locally yet. reach_linear.m started out with a halfwidth-propagation bug (signed A_step instead of |A_step|); fixed before commit after noticing the reach envelope exactly matched the initial box on T_c. Figures saved to docs/figures/. .mat result files gitignored — they are regenerated in <1s. Hacker-Split: first end-to-end per-mode reachability artifact. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2 lines
6 B
Plaintext
2 lines
6 B
Plaintext
*.mat
|