{"artifact_id":"L1-437","layer":"L1","title":"Nonlinear Observer Design","domain":"Control Theory","sub_domain":"Nonlinear control","physics_fingerprint":{"L_DAG":3.5,"title":"Nonlinear Observer Design","domain":"Control Theory","carrier":"N/A","primitives":["S.hgo.high_gain_observer","O.regularize","O.iss.input_to_state"],"sub_domain":"Nonlinear control","noise_model":"gaussian","problem_class":"nonlinear_inverse","solution_space":"nonlinear_state_estimate","difficulty_delta":5,"integration_axis":"time","sensing_mechanism":"high_gain_observer_estimation"},"observable_profile":{"metric":"observer_error_RMSE","regime":"Existence of the recovered nonlinear_state_estimate is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 200); Lipschitz_constant_violation dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor.","secondary":"convergence_time_s"},"size_tiers":{"center_spec":{"omega":{"n_state":4,"noise_SNR_dB":30,"observer_gain_epsilon":0.1,"Lipschitz_constant_gamma":1.0},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"high_gain_observer_estimation","epsilon_fn_center":"0.10 observer_error_RMSE"},"omega_bounds":{"n_state":[1,15],"noise_SNR_dB":[10,60],"observer_gain_epsilon":[0.01,1.0],"Lipschitz_constant_gamma":[0.1,10.0]},"epsilon_bounds":{"observer_error_RMSE":[0.01,0.5]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["n_state","Lipschitz_constant_gamma","observer_gain_epsilon","noise_SNR_dB"],"allowed_forward_operators":["high_gain_observer_estimation"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":5000,"metric":"observer_error_RMSE"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xe1b534d0de1d295021cd68f009c15818253d1df2688f0d5064b9121036e923e3","chain_tx_hash":"0x457b1059df366f3d9d30b1049412638d9dff5742e3246d39795468c25f3d5ca9","chain_block":41555258}