Robust Stability and Stabilization of Switched Systems with Time-Varying Delays Using Delta Operator Approach

Chen Qin, Zhengrong Xiang and Hamid Reza Karimi

Mathematical Problems in Engineering, 2013, vol. 2013, 1-11

Abstract:

This paper considers the problems of the robust stability and robust controller design for time-varying delay switched systems using delta operator approach. Based on the average dwell time approach and delta operator theory, a sufficient condition of the robust exponential stability is presented by choosing an appropriate Lyapunov-Krasovskii functional candidate. Then, a state feedback controller is designed such that the resulting closed-loop system is exponentially stable with a guaranteed performance. The obtained results are formulated in the form of linear matrix inequalities (LMIs). Finally, a numerical example is provided to explicitly illustrate the feasibility and effectiveness of the proposed method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:230576

DOI: 10.1155/2013/230576

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