Finite-time-observer design for nonlinear impulsive systems with impact perturbation

Gang Zheng 1, 2 Yuri Orlov 3 Wilfrid Perruquetti 1, 4, 5 Jean-Pierre Richard 1, 4, 5
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
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper investigates the observer design problem of nonlinear impulsive systems with impact perturbation. By using the concept of normal form, this paper proposes a full order finite time observer, which guarantees the finite time convergence independent of the impact perturbation. Reduced order observer is additionally developed for the proposed normal form. An illustrative example is given in order to illustrate the capability of the proposed method.
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Gang Zheng, Yuri Orlov, Wilfrid Perruquetti, Jean-Pierre Richard. Finite-time-observer design for nonlinear impulsive systems with impact perturbation. International Journal of Control, Taylor & Francis, 2014, 87 (10), pp.2097-2105. ⟨hal-00960059⟩

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