Robust model reference tracking control for interval type-2 fuzzy stochastic systems

被引：13

作者：

Kavikumar, Ramasamy ^{[1
]}

Sakthivel, Rathinasamy ^{[2
,3
]}

Kwon, Oh-Min ^{[4
]}

Kaviarasan, Boomipalagan ^{[4
]}

机构：

[1] Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, Tamil Nadu, India

[2] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, India

[3] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[4] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea

来源：

IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

stochastic systems; fuzzy set theory; control system synthesis; asymptotic stability; Lyapunov methods; delays; nonlinear control systems; linear matrix inequalities; uncertain systems; stability; fuzzy control; robust control; interval type-2 fuzzy stochastic systems; control approach; system unknown delays; nonlinearities; external disturbances; linear matrix inequality approach; control gain matrices; control law; robust model reference tracking control; uncertainty; disturbance estimator-based control problem; STABILITY ANALYSIS; FEEDBACK CONTROL;

D O I：

10.1049/iet-cta.2019.0781

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study considers the uncertainty and disturbance estimator-based control problem for interval type-2 fuzzy stochastic systems with disturbances. The proposed control approach accurately estimates system unknown delays, uncertainties, non-linearities and external disturbances by introducing an appropriate filter. Precisely, the filter's bandwidth is one of the most important parameters in designing and tuning the controller to deal with unknown delays, uncertainties, non-linearities and disturbances. By using the Lyapunov-Krasovskii stability theorem and the linear matrix inequality approach, the required stability conditions and the control gain matrices for the system under consideration are obtained. Further, the effectiveness of the proposed control law is verified using two numerical examples.

引用

页码：1123 / 1134

页数：12

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