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On designing ${H}_{\infty }$ fault estimator for switched nonlinear systems of neutral type. (English) Zbl 1222.93064
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:
 93B36 ${H}^{\infty }$-control 93C30 Control systems governed by other functional relations 93C10 Nonlinear control systems 34K40 Neutral functional-differential equations