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An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems 被引量：7

An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems
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摘要 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. 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.
作者 Xin Sun Qing-Ling Zhang Chun-Yu Yang Zhan Su Yong-Yun Shao
机构地区 Institute of Systems Science Key Laboratory of Integrated Automation of Process Industry Department of Computer and Mathematics Teaching
出处 《International Journal of Automation and computing》 EI 2010年第2期205-212,共8页 国际自动化与计算杂志（英文版）
基金 supported by National Natural Science Foundation of China (No.60904009,No.60974004)
关键词 DELAY-DEPENDENT singular time-delay systems ADMISSIBLE robust stabilization. Delay-dependent, singular time-delay systems, admissible, robust stabilization.
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置] TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献23

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同被引文献30

  • 1Z. G. Feng,J. Lam,H. J. Gao.Delay-dependent robust H∞ controller synthesis for discrete singular delay systems. International Journal of Robust and Nonlinear Control . 2011
  • 2Xu Shengyuan,James Lam,Zhang Liqian.Robust D-stability analysis for uncertain discrete singular systems with state delay. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications . 2002
  • 3S. Xu,J. Lam.Robust Control and Filtering of Singular Systems, Lecture Notes in Control and Information Sciences. . 2006
  • 4X.Jiang,Q.L.Han,X.Yu.Stability criteria for linear discrete-time systems with interval-like time-varying delay. Proc. 2005 Amer.Control Conf . 2005
  • 5X. Zhang,H. Y. Zhu.Robust stability and stabilization criteria for discrete singular time-delay LPV systems. Asian Journal of Control . 2011
  • 6X. F. Jiang,Q. L. Han.Networked-induced delaydependent H∞ controller design for a class of networked control systems. Asian Journal of Control . 2006
  • 7Q.L.Han.A discrete delay decomposition approach to stability of linear retarded an neutral systems. Automatica . 2009
  • 8S. Ma,Z. Cheng,C. Zhang.Delay-dependent robust stability and stabilization for uncertain discrete singular systems with time-varying delays. IET Control Theory and Applications . 2007
  • 9Z. P. Du,Q. L. Zhang,L. L. Liu.New delay-dependent robust stability of discrete singular systems with time-varying delay. Asian Journal of Control . 2011
  • 10S. Zhu,Z. Li,C. Zhang.Delay decomposition approach to delay-dependent stability for singular time-delay systems. IET Control Theory and Applications . 2010

引证文献7

二级引证文献10

International Journal of Automation and computing
2010年 第2期

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