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Robust finite-time \(H_{\infty }\) control for a class of uncertain switched neutral systems. (English) Zbl 1239.93036
Summary: This paper investigates the robust finite-time \(H_{\infty }\) control problem for a class of uncertain switched neutral systems with unknown time-varying disturbance. The uncertainties under consideration are norm bounded. By using the average dwell time approach, a sufficient condition for finite-time boundedness of switched neutral systems is derived. Then, finite-time \(H_{\infty }\) performance analysis for switched neutral systems is developed, and a robust finite-time \(H_{\infty }\) state feedback controller is proposed to guarantee that the closed-loop system is finite-time bounded with \(H_{\infty }\) disturbance attenuation level \(\gamma \). All the results are given in terms of Linear Matrix Inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

MSC:
93B36 \(H^\infty\)-control
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
34K40 Neutral functional-differential equations
93C15 Control/observation systems governed by ordinary differential equations
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