Stability Analysis of Additive Time-Varying T-S Fuzzy System Using Augmented Lyapunov Functional

被引：0
|
作者：
Ganesan, Bhuvaneshwari [1 ]
Annamalai, Manivannan [1 ]
机构：
[1] Vellore Inst Technol, Div Math, Vandalur Kelambakkam Rd, Chennai 600127, Tamil Nadu, India
来源：
MATHEMATICS AND COMPUTING, ICMC 2022 | 2022年 / 415卷
关键词：
Additive time-varying delays; T-S fuzzy system; Stability; Linear matrix inequality; ROBUST STABILITY; STABILIZATION; DISCRETE;
D O I：
10.1007/978-981-19-9307-7_28
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This article discusses the stability analysis problem of Takagi-Sugeno (T-S) fuzzy system with additive time-varying delay components. To find a stability region and to stabilize the system, a state feedback control scheme is considered. A Lyapunov-Krasovskii functional is constructed to obtain less conservative results by utilizing the integral inequality based on non-orthogonal polynomials and the conditions are derived as linear matrix inequality form. The stability conditions are obtained for the system involving two delay components and the proposed result is validated through numerical examples.
引用
收藏
页码：335 / 346
页数：12
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