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Observability is Sufficient for the Design of Globally Exponentially Convergent State Observers for State-affine Nonlinear Systems

2021/08/21 by Lei Wang, Roméo Ortega, Wang, Lei +2
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2108.09406

openalex publication_date 2021/08/21 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28

Abstract

In this paper we are interested in the problem of state observation of state-affine nonlinear systems. Our main contribution is to propose a globally exponentially convergent observer that requires only the necessary assumption of observability of the system. To the best of the authors' knowledge this is the first time such a result is reported in the literature.

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