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Finite-time-observer design for nonlinear impulsive systems with impact perturbation
Authors:G Zheng  Y Orlov  W Perruquetti  J-P Richard
Affiliation:1. INRIA Lille-Nord Europe, 40, avenue Halley, 59650 Villeneuve d’Ascq, France;2. LAGIS CNRS UMR 8219, Ecole Centrale de Lille, BP 48, 59651 Villeneuve d’Ascq, Francegang.zheng@inria.fr;4. CICESE Departamento de Electronica y Telecomunicaciones, Km. 107, Carretera Tijuana-Ensenada, 22860 Ensenada BC, Mexico;5. LAGIS CNRS UMR 8219, Ecole Centrale de Lille, BP 48, 59651 Villeneuve d’Ascq, France
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. A 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.
Keywords:observer  impulsive system  finite time
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