c5133401e0
Multi-session work bundle on a draft branch. Splits into a clean
sequence of commits later; pushed here so it isn't lost on a reboot.
Reach work
- code/scripts/reach/reach_scram_pj.jl: shutdown_margin halfspace
X_exit (replaces "n <= 1e-4 AND T_f bound" framing); per-step
envelope extraction added.
- code/scripts/reach/reach_scram_pj_fat.jl: per-step envelope
extraction added; shutdown_margin discharge logic mirrored from the
tight scram script. 3 probes (10/30/60s) all discharge from the
fat union polytope.
- code/scripts/reach/reach_scram_full_fat.jl (NEW): full nonlinear
PKE scram reach with fat entry. Hits the stiffness wall at
~1.5 s plant time as expected; saves NaN-tolerant per-step
envelopes. Demonstrates concretely why PJ is the right tool for
the longer-horizon proof.
- code/scripts/reach/reach_heatup_pj.jl: T_REF_START_C constant
(entry-conditioned ramp) replaces T_STANDBY-init that was making
the FL controller command cooling at t=0. Per-step extraction
already in place.
- code/configs/heatup/tight.toml: bumped maxsteps; probe horizon
parameterized.
Hot-standby SOS barrier
- code/scripts/barrier/barrier_sos_2d_shutdown.jl (NEW): mirrors the
operation SOS machinery on the hot-standby thermal projection.
Includes the eps-slack pattern (so feasibility doesn't silently
collapse to B == 0).
- code/scripts/barrier/barrier_sos_2d.jl: refactored to use the same
helper.
- code/src/sos_barrier.jl (NEW): solve_sos_barrier_2d helper module
factoring out the SOS construction; eps-slack with eps_cap=1.0 to
avoid unbounded primal.
Library
- code/src/pke_states.jl (NEW): single source of truth for canonical
initial-condition vectors per DRC mode (op, shutdown, heatup) keyed
off plant + predicates.
- code/scripts/sim/{main_mode_sweep,validate_pj}.jl, code/CLAUDE.md:
migrated to pke_states.
Predicates + invariants
- reachability/predicates.json: new shutdown_margin predicate (1%
dk/k tech-spec floor, expressed as alpha_f*T_f + alpha_c*T_c
halfspace). Used as scram X_exit.
Plot script
- code/scripts/plot/plot_reach_tubes.jl: plot_tubes_scram_pj() with
variant=:fat|:tight knob; plot_tubes_scram_full() for full-PKE
3-panel (T_c, T_f, rho); plot_tubes_heatup_pj() reads results/
not reachability/.
Journal + memory
- journal/entries/2026-04-27-shutdown-sos-and-scram-X_exit.tex (NEW):
long-form entry on the SOS hot-standby barrier and the scram X_exit
refactor.
- journal/journal.tex: input chain updated.
- claude_memory/ — three new session notes:
* 2026-04-27-scram-X_exit-shutdown-margin.md
* 2026-04-28-DICE-2026-conference-intel.md (people, sessions,
strategic notes for the May 12 talk)
* 2026-04-28-path1-sos-pj-sketch.md (sketch of nonlinear-SOS via
polynomial multiply-through; saved for an overnight session)
Docs
- docs/model_cheatsheet.md (NEW): one-page reference of state vector,
dynamics, constants, modes, predicates, sanity numbers — the talk
prep cheatsheet Dane asked for.
- docs/figures/reach_*_tubes.png: regenerated with the new mat data.
- presentations/prelim-presentation/outline.md: revised arc per the
April-28 review pass (cuts: Lyapunov-fails standalone slide,
operation-tube standalone slide, SOS standalone; adds: scopes-of-
control framing, scram on the headline result slide).
- app/predicate_explorer.jl: minor.
Hacker-Split: end-of-session scratch bundle
114 lines
4.5 KiB
Julia
114 lines
4.5 KiB
Julia
#!/usr/bin/env julia
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#
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# validate_pj.jl — quantify the prompt-jump approximation error.
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#
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# Two parallel sims of the same heatup scenario:
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# (i) full 10-state PKE+T/H (pke_th_rhs!)
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# (ii) reduced 9-state prompt-jump model (pke_th_rhs_pj!)
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#
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# After the prompt transient (~few hundred microseconds) the two
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# trajectories should agree closely on T_c, T_f, T_cold, and on the
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# reconstructed n vs the dynamic n. Quantify the error explicitly.
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using Pkg
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Pkg.activate(joinpath(@__DIR__, "..", ".."))
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using Printf
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using LinearAlgebra
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using OrdinaryDiffEq
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using Plots
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include(joinpath(@__DIR__, "..", "..", "src", "pke_params.jl"))
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include(joinpath(@__DIR__, "..", "..", "src", "pke_states.jl"))
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include(joinpath(@__DIR__, "..", "..", "src", "pke_th_rhs.jl"))
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include(joinpath(@__DIR__, "..", "..", "src", "pke_th_rhs_pj.jl"))
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include(joinpath(@__DIR__, "..", "..", "controllers", "controllers.jl"))
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plant = pke_params()
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states = pke_states(plant) # falls back to default offset; no predicates needed for validation
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T_standby = states.T_standby
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# Heatup scenario — same as sim_heatup.jl.
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ref_heat = (; T_start=T_standby, T_target=plant.T_c0, ramp_rate=28/3600)
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Q_sg = t -> 0.0
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# Initial conditions — both at n=1e-3 (the heatup canonical IC), same temperatures.
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x0_full = states.heatup # 10-state
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x0_pj = states.heatup[2:end] # drop n; PJ reconstructs it
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tspan = (0.0, 3000.0)
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# --- Full-state sim ---
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function rhs_full!(dx, x, p, t)
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u = ctrl_heatup(t, x, plant, ref_heat)
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pke_th_rhs!(dx, x, t, plant, Q_sg, u)
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end
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prob_full = ODEProblem(rhs_full!, x0_full, tspan)
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sol_full = solve(prob_full, Rodas5(); reltol=1e-8, abstol=1e-10)
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# --- Prompt-jump sim ---
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# ctrl_heatup expects 10-state x with T_f at index 8, T_c at 9.
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# We pass an adapter that maps 9-state to the controller's expected layout.
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function ctrl_heatup_pj(t, x_pj, plant_arg, ref_arg)
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# Construct a fake 10-state with n placeholder; controller doesn't read n.
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x10 = [0.0; x_pj[1:6]; x_pj[7]; x_pj[8]; x_pj[9]]
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return ctrl_heatup(t, x10, plant_arg, ref_arg)
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end
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function rhs_pj!(dx, x, p, t)
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u = ctrl_heatup_pj(t, x, plant, ref_heat)
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pke_th_rhs_pj!(dx, x, t, plant, Q_sg, u)
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end
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prob_pj = ODEProblem(rhs_pj!, x0_pj, tspan)
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sol_pj = solve(prob_pj, Rodas5(); reltol=1e-8, abstol=1e-10)
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# --- Compare at sampled times ---
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function get_n_full(sol, t) sol(t)[1] end
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function get_T_c_full(sol, t) sol(t)[9] end
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function get_T_f_full(sol, t) sol(t)[8] end
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function get_T_cold_full(sol, t) sol(t)[10] end
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function get_T_c_pj(sol, t) sol(t)[8] end
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function get_T_f_pj(sol, t) sol(t)[7] end
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function get_T_cold_pj(sol, t) sol(t)[9] end
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function get_n_pj(sol, t)
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x = sol(t)
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u = ctrl_heatup_pj(t, x, plant, ref_heat)
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pj_reconstruct_n(x, plant, u)
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end
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println("\n=== PJ vs full-state, heatup scenario ===")
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println(" t [s] n_full n_pj |Δn|/n_full T_c err T_f err T_cold err")
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for t_check in (1.0, 5.0, 10.0, 60.0, 300.0, 1200.0, 3000.0)
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n_f = get_n_full(sol_full, t_check)
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n_p = get_n_pj(sol_pj, t_check)
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Tc_err = abs(get_T_c_full(sol_full, t_check) - get_T_c_pj(sol_pj, t_check))
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Tf_err = abs(get_T_f_full(sol_full, t_check) - get_T_f_pj(sol_pj, t_check))
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Tcold_err = abs(get_T_cold_full(sol_full, t_check) - get_T_cold_pj(sol_pj, t_check))
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@printf " %6.1f %.3e %.3e %8.2e %.3e %.3e %.3e\n" t_check n_f n_p abs(n_f-n_p)/abs(n_f) Tc_err Tf_err Tcold_err
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end
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# --- Plot trajectory overlay ---
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figdir = joinpath(@__DIR__, "..", "..", "..", "docs", "figures")
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isdir(figdir) || mkpath(figdir)
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CtoF(T) = T*9/5 + 32
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t_grid = range(0, 3000, length=600)
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n_full_arr = [get_n_full(sol_full, t) for t in t_grid]
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n_pj_arr = [get_n_pj(sol_pj, t) for t in t_grid]
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Tc_full_arr = [get_T_c_full(sol_full, t) for t in t_grid]
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Tc_pj_arr = [get_T_c_pj(sol_pj, t) for t in t_grid]
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p_n = plot(t_grid ./ 60, n_full_arr, lw=2, color=:blue, label="full-state",
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xlabel="t [min]", ylabel="n", title="Power: full vs PJ")
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plot!(p_n, t_grid ./ 60, n_pj_arr, lw=1.5, ls=:dash, color=:red, label="prompt-jump")
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p_Tc = plot(t_grid ./ 60, CtoF.(Tc_full_arr), lw=2, color=:blue, label="full-state",
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xlabel="t [min]", ylabel="T_avg [F]", title="T_avg: full vs PJ")
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plot!(p_Tc, t_grid ./ 60, CtoF.(Tc_pj_arr), lw=1.5, ls=:dash, color=:red, label="prompt-jump")
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fig = plot(p_n, p_Tc, layout=(1,2), size=(1200, 450),
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plot_title="PJ vs full-state, heatup scenario (3000 s)")
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savefig(fig, joinpath(figdir, "validate_pj_heatup.png"))
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println("\nFigure: $figdir/validate_pj_heatup.png")
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