Dissipativity-based non-fragile sampled-data control design of interval type-2 fuzzy systems subject to random delays

R Sakthivel; S A Karthick; B Kaviarasan; Faris Alzahrani

doi:10.1016/j.isatra.2018.08.017

Dissipativity-based non-fragile sampled-data control design of interval type-2 fuzzy systems subject to random delays

ISA Trans. 2018 Dec:83:154-164. doi: 10.1016/j.isatra.2018.08.017. Epub 2018 Sep 11.

Authors

R Sakthivel¹, S A Karthick², B Kaviarasan², Faris Alzahrani³

Affiliations

¹ Department of Mathematics, Bharathiar University, Coimbatore 641046, India. Electronic address: krsakthivel@yahoo.com.
² Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India.
³ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

PMID: 30236928
DOI: 10.1016/j.isatra.2018.08.017

Abstract

This paper investigates the β-dissipativity-based reliable non-fragile sampled-data control problem for a class of interval type-2 (IT2) fuzzy systems. In particular, it is allowed to have randomly occurring time-varying delays in the controller design, which are modeled by Bernoulli distributed white noise sequences. Precisely, the IT2 fuzzy model and the non-fragile sampled-data controller are formulated by considering the mismatched membership functions. By constructing an appropriate Lyapunov-Krasovskii functional, a set of delay-dependent conditions is derived to guarantee that the closed-loop IT2 fuzzy system is strictly <Q,S,R>-β-dissipative. Moreover, the gain matrices of feedback reliable non-fragile sampled-data controller are derived in terms of linear matrix inequalities (LMIs), which can be solved by using existing LMI solvers. Two numerical examples are eventually given to illustrate the applicability and effectiveness of the proposed controller design technique.

Keywords: Dissipativity; Interval type-2 fuzzy systems; Non-fragile control; Random delay; Sampled-data approach.