Observer analysis and synthesis for Lipschitz nonlinear systems under discrete time-varying measurements

Etienne Lucien 1 Hetel Laurentiu 2 Denis Efimov 1 Petreczky Mihaly 2
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Observer synthesis for nonlinear Lipschitz systems with time-varying sampling is studied. To establish the exponential convergence of the observer, in this paper, we model the impact of the sampling uncertainty by a reset integrator. First, generic conditions for stability of a sampled data system are recalled. Second it is shown how to derive tractable numerical conditions to analyze the robustness of a continuous-time Luenberger observer when the sampling is discrete and time-varying. Then it is demonstrated that this emulation approach can be passed over allowing for the direct computation of an observer gain. Simulations and comparisons with related articles show the efficiency of the proposed methodology.
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Etienne Lucien, Hetel Laurentiu, Denis Efimov, Petreczky Mihaly. Observer analysis and synthesis for Lipschitz nonlinear systems under discrete time-varying measurements. Proc. 20th IFAC WC 2017, Jul 2017, Toulouse, France. ⟨hal-01508776⟩

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