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Zbl 1222.93064
Liu, Xinzhi; Yuan, Shuai
On designing $H_\infty$ fault estimator for switched nonlinear systems of neutral type. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4379-4389 (2011). ISSN 1007-5704

Summary: This paper deals with the problem of fault estimation for a class of switched nonlinear systems of neutral type. The nonlinearities are assumed to satisfy global Lipschitz conditions and appear in both the state and measured output equations. By employing a switched observer-based fault estimator, the problem is formulated as an $H_\infty$ filtering problem. Sufficient delay-dependent existence conditions of the $H_\infty$ Fault Estimator ($H_\infty$-FE) are given in terms of certain matrix inequalities based on the average dwell time approach. In addition, by using a cone complementarity algorithm, solutions to the observer gain matrices are obtained by solving a set of Linear Matrix Inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed approach.

MSC 2000:: *93B36 $H^\infty$-control
93C30 Control systems governed by other functional relations
93C10 Nonlinear control systems
34K40 Neutral equations

Keywords: fault estimation; switched nonlinear systems; neutral type; average dwell time

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