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Robust Asymptotic Stabilization of Nonlinear Systems with Non-Hyperbolic Zero Dynamics

2008/10/02 by Lorenzo Marconi, Marconi, L., Laurent Praly +3
Engineering · #93B51 #93C10 #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0810.0364

openalex publication_date 2008/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present a general tool to handle the presence of zero dynamics which are asymptotically but not locally exponentially stable in problems of robust nonlinear stabilization by output feedback. We show how it is possible to design locally Lipschitz stabilizers under conditions which only rely upon a partial detectability assumption on the controlled plant, by obtaining a robust stabilizing paradigm which is not based on design of observers and separation principles. The main design idea comes from recent achievements in the field of output regulation and specifically in the design of nonlinear internal models.

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