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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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