›› 2014, Vol. 23 ›› Issue (12): 120201-120201.doi: 10.1088/1674-1056/23/12/120201

• GENERAL •    下一篇

Improved delay-dependent robust H control of an uncertain stochastic system with interval time-varying and distributed delays

M. Syed Ali, R. Saravanakumar   

  1. Department of Mathematics Thiruvalluvar University, Vellore-632115, Tamil Nadu, India
  • 收稿日期:2014-02-13 修回日期:2014-07-09 出版日期:2014-12-15 发布日期:2014-12-15
  • 基金资助:
    Project supported by the Fund from the Department of Science and Technology (DST) (Grant No. SR/FTP/MS-039/2011).

Improved delay-dependent robust H control of an uncertain stochastic system with interval time-varying and distributed delays

M. Syed Ali, R. Saravanakumar   

  1. Department of Mathematics Thiruvalluvar University, Vellore-632115, Tamil Nadu, India
  • Received:2014-02-13 Revised:2014-07-09 Online:2014-12-15 Published:2014-12-15
  • Contact: M. Syed Ali E-mail:syedgru@gmail.com
  • Supported by:
    Project supported by the Fund from the Department of Science and Technology (DST) (Grant No. SR/FTP/MS-039/2011).

摘要: In this paper, the robust H control problem for a class of stochastic systems with interval time-varying and distributed delays is discussed. The system under study involves parameter uncertainty, stochastic disturbance, interval time-varying, and distributed delay. The aim is to design a delay-dependent robust H control which ensures the robust asymptotic stability of the given system and to express it in the form of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show its conservativeness.

关键词: distributed delay, interval time-varying delay, H control, linear matrix inequality (LMI), stochastic systems

Abstract: In this paper, the robust H control problem for a class of stochastic systems with interval time-varying and distributed delays is discussed. The system under study involves parameter uncertainty, stochastic disturbance, interval time-varying, and distributed delay. The aim is to design a delay-dependent robust H control which ensures the robust asymptotic stability of the given system and to express it in the form of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show its conservativeness.

Key words: distributed delay, interval time-varying delay, H control, linear matrix inequality (LMI), stochastic systems

中图分类号:  (Ordinary differential equations)

  • 02.30.Hq
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.40.Jc (Brownian motion) 02.30.Yy (Control theory)