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Chin. Phys. B, 2012, Vol. 21(11): 118701    DOI: 10.1088/1674-1056/21/11/118701
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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 )
Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China
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.
Keywords:  anti-windup controller      Takagi-Sugeno fuzzy model      time delay      input saturation  
Received:  28 February 2012      Revised:  13 May 2012      Accepted manuscript online: 
PACS:  87.19.lr (Control theory and feedback)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203047 and 60904023).
Corresponding Authors:  Song Xiao-Na     E-mail:  xiaona_97@163.com

Cite this article: 

Song Xiao-Na (宋晓娜), Fu Zhu-Mu (付主木), Liu Lei-Po (刘磊坡 ) Robust stabilization of state delayed discrete-time Takagi–Sugeno fuzzy systems with input saturation via anti-windup fuzzy design 2012 Chin. Phys. B 21 118701

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