中国物理B ›› 2012, Vol. 21 ›› Issue (11): 118701-118701.doi: 10.1088/1674-1056/21/11/118701

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Robust stabilization of state delayed discrete-time Takagi–Sugeno fuzzy systems with input saturation via anti-windup fuzzy design

宋晓娜, 付主木, 刘磊坡   

  1. Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China
  • 收稿日期:2012-02-28 修回日期:2012-05-13 出版日期:2012-10-01 发布日期:2012-10-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61203047 and 60904023).

Robust stabilization of state delayed discrete-time Takagi–Sugeno fuzzy systems with input saturation via anti-windup fuzzy design

Song Xiao-Na (宋晓娜), Fu Zhu-Mu (付主木), Liu Lei-Po (刘磊坡 )   

  1. Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China
  • Received:2012-02-28 Revised:2012-05-13 Online:2012-10-01 Published:2012-10-01
  • Contact: Song Xiao-Na E-mail:xiaona_97@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61203047 and 60904023).

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摘要： We consider the robust stabilization problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays subjected to the input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction. Based on the project lemma and a classical sector condition, the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design approach.

关键词: anti-windup controller, Takagi-Sugeno fuzzy model, time delay, input saturation

Abstract: We consider the robust stabilization problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays subjected to the input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction. Based on the project lemma and a classical sector condition, the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design approach.

Key words: anti-windup controller, Takagi-Sugeno fuzzy model, time delay, input saturation

中图分类号:  (Control theory and feedback)

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