Xin Sun, Qing-Ling Zhang, Chun-Yu Yang, Zhan Su and Yong-Yun Shao. An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems. International Journal of Automation and Computing, vol. 7, no. 2, pp. 205-212, 2010. DOI: 10.1007/s11633-010-0205-5
Citation: Xin Sun, Qing-Ling Zhang, Chun-Yu Yang, Zhan Su and Yong-Yun Shao. An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems. International Journal of Automation and Computing, vol. 7, no. 2, pp. 205-212, 2010. DOI: 10.1007/s11633-010-0205-5

An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems

  • In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.
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