L2 📐 L2-437-001 ⊙ Testnet

Nonlinear Observer Design — Nominal + Mismatch Specs

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Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-437-001 (Nonlinear Observer Design — Nominal + Mismatch Specs) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-437-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-437-001.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

derived from principle L1-437 
y = h(x, u) + n,    n ~ 𝒩(0, σ²)    # state x driven by the dynamics below

Noise: additive Gaussian noise

Solver / auxiliary components (3)
  • S.hgo.high_gain_observer — Luenberger-style observer with O(1/ε^n) gain for fast convergence
  • O.regularize — adds a prior term that biases the solution toward smoothness/sparsity
  • O.iss.input_to_state — Lyapunov-style bound: state norm is bounded by input norm

Markdown — human-readable source of truth

⚙ auto-generated
⬇ L2-437-001.md