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Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty

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Abstract

The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for the nominal discrete singular delay systems to be regular, causal and stable by employing the linear matrix inequality (LMI) approach. It is shown that the newly proposed criterion can provide less conservative results than some existing ones. Then, with this criterion, the problems of robust stability and robust stabilization for uncertain discrete singular delay systems are solved, and the delay-dependent LMI conditions are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji, 721013, PRC

    Jian-Min Jiao

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  1. Jian-Min Jiao
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Correspondence to Jian-Min Jiao.

Additional information

This work was supported by Research Foundation of Education Bureau of Shannxi Province, PRC(No. 2010JK400).

Jian-Min Jiao received the B. Sc. degree from Department of Mathematics at NorthWest University, Xi’an, PRC in 2001, and the M. Sc. degree from the College of Mathematics and Information Science at Shaanxi Normal University, Xi’an, PRC in 2009. He is currently a lecturer with the Department of Mathematics at Baoji University of Arts and Sciences, PRC.

His research interests include time-delay systems, singular systems, and robust control.

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Jiao, JM. Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty. Int. J. Autom. Comput. 9, 8–15 (2012). https://doi.org/10.1007/s11633-012-0610-z

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  • DOI: https://doi.org/10.1007/s11633-012-0610-z

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