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

doi:10.1088/1674-1056/21/11/118701

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

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