数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 117-122.

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分数阶时滞微分系统的滑模控制

  

  1. School of Mathematical Science, Anhui University

  • 收稿日期:2010-06-10 出版日期:2012-03-30 发布日期:2023-04-07
  • 作者简介:SI Jia-fang(1987-), female, native of Chaohu, Anhui, M.D.S., engages in functional differential equations; JIANG Wei(1959-), male, native of Wuhu, Anhui, a professor of Anhui University, Ph.D., engages in functional differential equations and control systems.
  • 基金资助:
    Supported by the National Nature Science Foundation of China(10771001); Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20093401110001); Supported by the Major Programs of Natural Science Research in Anhui Universities(KJ2010ZD02); Supported by the Program of Natural Science Research in Anhui Universities(KJ2010B076)

Sliding Mode Control for Fractional Differential Systems with State-delay 

  1. School of Mathematical Science, Anhui University

  • Received:2010-06-10 Online:2012-03-30 Published:2023-04-07
  • About author:SI Jia-fang(1987-), female, native of Chaohu, Anhui, M.D.S., engages in functional differential equations; JIANG Wei(1959-), male, native of Wuhu, Anhui, a professor of Anhui University, Ph.D., engages in functional differential equations and control systems.
  • Supported by:
    Supported by the National Nature Science Foundation of China(10771001); Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20093401110001); Supported by the Major Programs of Natural Science Research in Anhui Universities(KJ2010ZD02); Supported by the Program of Natural Science Research in Anhui Universities(KJ2010B076)

摘要: The problem of sliding mode control for fractional differential systems with statedelay is considered. A novel sliding surface is proposed and a controller is designed correspondingly, such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point. And the stability of the proposed control design is discussed.

关键词: sliding mode control, fractional di?erential system, time-delay

Abstract: The problem of sliding mode control for fractional differential systems with statedelay is considered. A novel sliding surface is proposed and a controller is designed correspondingly, such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point. And the stability of the proposed control design is discussed.

Key words: sliding mode control, fractional di?erential system, time-delay

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