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Stabilization of Discrete-Time Switched Systems with Input Time Delay and Its Applications in Networked Control Systems

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Abstract

In this paper, we focus on investigating the asymptotic stabilizability of switched systems with input time delay and its applications in networked control systems (NCSs). First, based on an important lemma, a linear matrix inequality (LMI)-based asymptotic stabilizability criterion is established. Stabilizing switched state feedback controllers can be designed by solving a set of LMIs, which can be easily tested with efficient LMI algorithms. Then, for NCSs with communication constraints, the NCS is modelled as a discrete-time switched system with input time delay. Thus, the asymptotic stabilizability criterion of switched system with input delay can be applicable to such NCSs. Finally, an example is given to illustrate our main results.

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Authors and Affiliations

  1. Department of Mathematics, School of Sciences, Tianjin University, Tianjin, China

    Dongmei Xie, Yongjun Wu & Xiaoxin Chen

Authors
  1. Dongmei Xie
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  2. Yongjun Wu
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  3. Xiaoxin Chen
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Corresponding author

Correspondence to Dongmei Xie.

Additional information

This work is supported by the National Natural Science Foundation of China under grants (No. 60704015), a grant of Liuhui Center for Applied Mathematics of Nankai University and Tianjin University in China.

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Xie, D., Wu, Y. & Chen, X. Stabilization of Discrete-Time Switched Systems with Input Time Delay and Its Applications in Networked Control Systems. Circuits Syst Signal Process 28, 595–607 (2009). https://doi.org/10.1007/s00034-009-9105-8

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  • DOI: https://doi.org/10.1007/s00034-009-9105-8

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