中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4434-4439.doi: 10.1088/1674-1056/17/12/017

• GENERAL • 上一篇    下一篇

Integral sliding mode control for a class of nonlinear neutral systems with time-varying delays

楼旭阳, 崔宝同   

  1. College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2005-11-28 修回日期:2008-06-11 出版日期:2008-12-20 发布日期:2008-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016), the Jiangsu Pro

Integral sliding mode control for a class of nonlinear neutral systems with time-varying delays

Lou Xu-Yang (楼旭阳), Cui Bao-Tong (崔宝同)   

  1. College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
  • Received:2005-11-28 Revised:2008-06-11 Online:2008-12-20 Published:2008-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016), the Jiangsu Pro

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摘要： This paper focuses on sliding mode control problems for a class of nonlinear neutral systems with time-varying delays. An integral sliding surface is firstly constructed. Then it finds a useful criteria to guarantee the global stability for the nonlinear neutral systems with time-varying delays in the specified switching surface, whose condition is formulated as linear matrix inequality. The synthesized sliding mode controller guarantees the reachability of the specified sliding surface. Finally, a numerical simulation validates the effectiveness and feasibility of the proposed technique.

Abstract: This paper focuses on sliding mode control problems for a class of nonlinear neutral systems with time-varying delays. An integral sliding surface is firstly constructed. Then it finds a useful criteria to guarantee the global stability for the nonlinear neutral systems with time-varying delays in the specified switching surface, whose condition is formulated as linear matrix inequality. The synthesized sliding mode controller guarantees the reachability of the specified sliding surface. Finally, a numerical simulation validates the effectiveness and feasibility of the proposed technique.

Key words: neutral systems, nonlinear, linear matrix inequality, integral sliding mode control

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
02.10.Yn (Matrix theory) 02.50.Ey (Stochastic processes)