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Fixed-time observer with simple gains for uncertain systems. (English) Zbl 1372.93047

Summary: In this article, we consider the problem of fixed-time observer for nonlinear systems, that is a finite-time observer whose settling time can be bounded independently of the initial condition. We consider a large class of nonlinear systems which includes two main classes: linearizable systems up to input-output injection and uniformly observable systems. Furthermore, the effect of noise and uncertainty is analyzed.

MSC:

93B07 Observability
93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93C41 Control/observation systems with incomplete information
93D09 Robust stability
93E03 Stochastic systems in control theory (general)

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