Context-Enriched Performance Boosting via Operator Decomposition

Abstract

Performance Boosting (PB) is a control framework that, for a pre-stabilized system subject to ${\mathcal{L}}_p$ process disturbances, parametrizes the controllers that preserve closed-loop ${\mathcal{L}}_p$-stability through a causal ${\mathcal{L}}_p$-stable operator mapping reconstructed disturbances to corrective control actions. Although this permits optimization over expressive stability-preserving controllers, learning a desired policy from disturbance information alone can be difficult. We introduce a structured factorization for context-enriched, multi-input PB operators. The proposed architecture combines an ${\mathcal{L}}_p$-stable dynamical module that processes reconstructed disturbances with a uniformly bounded matrix-valued mixer depending on disturbances and contextual signals. Under the standard PB assumptions, this factorization preserves closed-loop ${\mathcal{L}}_p$-stability by construction. Moreover, on a weighted-envelope disturbance domain, we prove that the factorization is necessary and sufficient for causal operators satisfying a context-uniform envelope-preservation property. A numerical moving-gate navigation experiment demonstrates the advantages of the proposed architecture over context-agnostic PB, MAD, and reference-aware PB baselines.