Interval state estimation for uncertain nonlinear systems

Gang Zheng 1, 2 Denis Efimov 1, 3 Wilfrid Perruquetti 1, 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The objective of this work is to develop some design methods of interval observers for a class of nonlinear continuous-time systems. It is assumed that the estimated system can be represented as a superposition of the nominal subsystem (belonged to the class of uniformly observable systems) and a Lipschitz nonlinear perturbation vanishing at the origin. Then it is shown there exists an interval observer for the system that estimates the set of admissible values for the state consistent with the output measurements. An example of the observer application is given with computer simulation results.
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Gang Zheng, Denis Efimov, Wilfrid Perruquetti. Interval state estimation for uncertain nonlinear systems. IFAC Nolcos 2013, Sep 2013, Toulouse, France. 2013. 〈hal-00844397〉

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