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Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays

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  • Lili Jia
  • Zunbing Sheng

Abstract

This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed-loop system. Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology. A numerical example is presented to demonstrate the effectiveness of the proposed method.

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  • Lili Jia & Zunbing Sheng, 2014. "Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:906917
    DOI: 10.1155/2014/906917
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