A Novel Control Design on Discrete-Time Takagi-Sugeno Fuzzy Systems With Time-Varying Delays

被引：288
|
作者：
Su, Xiaojie [1 ]
Shi, Peng [2 ,3 ,4 ]
Wu, Ligang [1 ]
Song, Yong-Duan [5 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 3030, Australia
[4] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
[5] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2013年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Dynamic output feedback (DOF) control; induced l(2) performance; scaled small-gain (SSG) theorem; Takagi-Sugeno (T-S) fuzzy systems; time-varying delays; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; FAULT-DETECTION; STABILIZATION;
D O I：
10.1109/TFUZZ.2012.2226941
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper focuses on analyzing a new model transformation of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays and applying it to dynamic output feedback (DOF) controller design. A new comparison model is proposed by employing a new approximation for time-varying delay state, and then, a delay partitioning method is used to analyze the scaled small gain of this comparison model. A sufficient condition on discrete-time T-S fuzzy systems with time-varying delays, which guarantees the corresponding closed-loop system to be asymptotically stable and has an induced l(2) disturbance attenuation performance, is derived by employing the scaled small-gain theorem. Then, the solvability condition for the induced l(2) DOF control is also established, by which the DOF controller can be solved as linear matrix inequality optimization problems. Finally, examples are provided to illustrate the effectiveness of the proposed approaches.
引用
收藏
页码：655 / 671
页数：17
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