Improved stability criteria for nonlinear fractional order fuzzy systems with time-varying delay

被引：11
|
作者：
Mahmoudabadi, Parvin [1 ]
Tavakoli-Kakhki, Mahsan [1 ]
机构：
[1] KN Toosi Univ Technol, Fac Elect Engn, Shariati Ave, Tehran 163171419, Iran
来源：
SOFT COMPUTING | 2022年 / 26卷 / 09期
关键词：
T-S fuzzy model; Nonlinear fractional order systems; Time-varying delay; Lyapunov-Krasovskii functional; Linear matrix inequality; DISSIPATIVE ANALYSIS; CONTROL DESIGN; STABILIZATION; SYNCHRONIZATION; DYNAMICS;
D O I：
10.1007/s00500-022-06893-4
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 addresses the issue of the stability analysis and stabilization of nonlinear time-delayed systems with fractional order alpha is an element of (0, 1) modeled by Takagi-Sugeno fuzzy model. A new Lyapunov-Krasovskii functional is proposed based on Caputo derivative which leads to obtaining less conservative stability conditions are proposed. Both approaches state feedback and delayed state feedback are applied in the form of a parallel-distributed compensation scheme for stabilization of the closed-loop system. Each of the stability conditions is written as a linear matrix inequality. Finally, some examples are presented to illustrate the effectiveness of the proposed approach.
引用
收藏
页码：4215 / 4226
页数：12
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