Finite-time extended dissipativity control for interval type-2 fuzzy systems with resilient memory sampled-data controller

• Published in: Journal of the Franklin Institute Vol. 359; no. 2; pp. 1320 - 1346
• Main Authors: Sakthivel, N., Suruthi, C.A., Zhai, Guisheng
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01-01-2022; Elsevier Science Ltd
• Subjects: Control stability; Controllers; Delay; Feedback control; Feedback control systems; Finite element analysis; Fuzzy control; Fuzzy logic; Fuzzy systems; Linear matrix inequalities; Mathematical models; Nonlinear dynamics; Nonlinear systems; Parameter uncertainty; Stability analysis; Systems stability
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2021.11.011

In this work, the finite-time extended dissipativity of the interval type-2 (IT2) fuzzy systems with probabilistic time-varying delay is discussed via resilient memory sampled-data control. To enable the stability analysis and control combination, an IT2 fuzzy model is employed to represent the dynamics of nonlinear systems of which the parameter uncertainties are taken by IT2 membership functions distinguish by the lower and upper membership functions. The main objective of this paper is to design a resilient memory sampled-data controller such that the resulting closed-loop system is finite-time bounded and satisfies extended dissipative performance. Moreover, the solvability of the derived conditions not only depends on the size of the delay but also on the probabilistic distribution of the delay taking values in some interval, thus probabilistic delay protocol is encountered in the IT2 fuzzy model. By employing suitable Lyapunov-Krasovskii functional (LKF) along with Wirtinger-based inequality, a set of sufficient conditions ensuring the finite-time extended dissipative performance for IT2 fuzzy systems are derived in terms of linear matrix inequalities (LMIs). Finally, two numerical simulations are presented to reveal the effectiveness of the developed technique.