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Article Dans Une Revue International Journal of Systems Science Année : 2017

Observer synthesis for a class of Takagi–Sugeno descriptor system with unmeasurable premise variable. Application to fault diagnosis

Résumé

This paper proposes a methodology to design a Takagi–Sugeno (TS) descriptor observer for a class of TS descriptor systems. Unlike the popular approach that considers measurable premise variables, this paper considers the premise variables depending on unmeasurable vectors, e.g. the system states. This consideration covers a large class of nonlinear systems and represents a real challenge for the observer synthesis. Sufficient conditions to guarantee robustness against the unmeasurable premise variables and asymptotic convergence of the TS descriptor observer are obtained based on the H∞ approach together with the Lyapunov method. As a result, the designing conditions are given in terms of linear matrix inequalities (LMIs). In addition, sensor fault detection and isolation are performed by means of a generalised observer bank. Two numerical experiments, an electrical circuit and a rolling disc system, are presented in order to illustrate the effectiveness of the proposed method.
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Dates et versions

hal-01629005 , version 1 (05-11-2017)

Identifiants

Citer

Francisco-Ronay López-Estrada, Carlos Manuel Astorga Zaragoza, Didier Theilliol, Jean-Christophe Ponsart, Guillermo Valencia-Palomo, et al.. Observer synthesis for a class of Takagi–Sugeno descriptor system with unmeasurable premise variable. Application to fault diagnosis. International Journal of Systems Science, 2017, 48 (16), pp.3419-3430. ⟨10.1080/00207721.2017.1384517⟩. ⟨hal-01629005⟩
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