Stability and Stabilization of TakagiSugeno Fuzzy Systems With Hybrid Time-Varying Delays

被引:28
作者
Sheng, Yin [1 ,2 ]
Lewis, Frank L. [3 ]
Zeng, Zhigang [1 ,2 ]
Huang, Tingwen [4 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China
[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Hubei, Peoples R China
[3] Univ Texas Arlington, UTA Res Inst, Arlington, TX 76118 USA
[4] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar
关键词
Fuzzy systems; Asymptotic stability; Stability criteria; Delay effects; Delays; Control theory; Exponential stability; exponential stabilization; finite-time stabilization; fuzzy logic; fuzzy systems; hybrid time delays; NONLINEAR-SYSTEMS; CONTROLLER-DESIGN; NEURAL-NETWORKS; SYNCHRONIZATION;
D O I
10.1109/TFUZZ.2019.2893365
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 investigates the stability and stabilization of TakagiSugeno (TS) fuzzy systems with discrete and distributed time-varying delays. First, $p$th moment global exponential stability ($p\geq 1$) of the addressed delayed fuzzy systems is considered by virtue of the comparison approach and inequality techniques. The developed algebraic criteria include some existing outcomes as special cases. Second, global exponential stabilization of the underlying delayed fuzzy systems is performed under a fuzzy state feedback controller. Third, considering that only a few studies have been concerned with finite-time stabilization of TS fuzzy systems, by employing the comparison strategy and a nonlinear controller, finite-time stabilization of the nominated delayed fuzzy systems is presented. The result obtained herein establishes a general theoretical framework to analyze the finite-time behavior of delayed TS fuzzy systems. Finally, simulation examples are conducted to illustrate the validity of the results.
引用
收藏
页码:2067 / 2078
页数:12
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