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Stability and stabilization for discrete-time singular systems with infinite distributed delays and actuator failures

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  • Control Theory
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Abstract

In this paper, a reliable H∞ controller is designed for discrete-time singular systems with infinite distributed delays. Firstly, a stability criterion is obtained based on linear matrix inequality (LMI). Then a controller is designed to ensure the singular time-delay system to be regular, causal and stable with disturbance attenuation level γ for possible actuator failures. A numerical example is given to illustrate the validity of the proposed approach.

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, Harbin, 150001, China

    Jiemei Zhao, Zhonghui Hu & Lijun Zhang

Authors
  1. Jiemei Zhao
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  2. Zhonghui Hu
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  3. Lijun Zhang
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Corresponding author

Correspondence to Jiemei Zhao.

Additional information

Recommended by Editorial Board member Sooyeong Yi under the direction of Editor Zengqi Sun.

This research has been supported in part by the National Natural Science Foundation of China, No. 61174047 and Doctoral Fund of Ministry of Education of China, No. 20102304110003.

Jiemei Zhao received her M.S. degree from Harbin Engineering University, China. Since 2009, she is a Ph.D. candidate at Harbin Engineering University. Her research interests include nonlinear control systems, singular systems and switched systems.

Zhonghui Hu received his B.S. degree from Harbin Engineering University in 2007, and since 2008, he is a Ph.D. candidate at Harbin Engineering University. His research interests include nonlinear control systems and ship motion control.

Lijun Zhang received his M.S. degree from Shanxi Normal University in 1997, and the Ph.D. degree from Institute of Systems Science, Chinese Academy of Sciences, Beijing China in 2003. Since 2005, he is a Professor at the Harbin Engineering University, China. His research interests include nonlinear system and control, switched systems control, etc.

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Zhao, J., Hu, Z. & Zhang, L. Stability and stabilization for discrete-time singular systems with infinite distributed delays and actuator failures. Int. J. Control Autom. Syst. 10, 721–726 (2012). https://doi.org/10.1007/s12555-012-0407-4

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  • DOI: https://doi.org/10.1007/s12555-012-0407-4

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