Journal of Northeastern University ›› 2012, Vol. 33 ›› Issue (8): 1074-1078.DOI: -

• OriginalPaper • Previous Articles     Next Articles

Improved delay-dependent robust stabilization result for uncertain systems with time-delay

Li, Sheng-Tao (1); Jing, Yuan-Wei (1); Liu, Xiao-Mei (2)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China; (2) School of Automation, Southeast University, Nanjing 210096, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Li, S.-T.
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Abstract: The problem of delay-dependent robust stabilization for uncertain systems with time-delay is considered. A Lyapunov-Krasovskii functional is designed by splitting the whole time-delay interval into some subintervals and defining different energy functions in every subinterval. Using the linear matrix inequality technique, a delay-dependent stability criterion is derived to ensure the nominal system to be stable. Based on the criterion, the problem is solved via a state feedback controller, guaranteeing the resultant closed-loop system to be robustly asymptotically stable. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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