Title: Dynamic output-feedback H_∞ control for TS fuzzy systems with probabilistic faults and time-varying input delay

Authors: R. Mohanapriya; P. Dhanalakshmi; S. Senpagam

Addresses: Department of Mathematics, Sri Krishna Adithya College of Arts and Science, Kovaiputhur, Coimbatore, 641042, India ' Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India ' Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India

Abstract: This paper develops a new fuzzy dynamic output-feedback controller for TS fuzzy systems with probabilistic actuator faults and time-varying input delay. The central sight is to consider the bounded H_∞ performance by the influence of stochastic faults, which are modelled by introducing Bernoulli distributed sequences. The novel stability criterion is established to guarantee the stochastic stabilisation of the resultant closed-loop system and satisfies a prescribed performance by implementing Lyapunov-Krasovskii's functional approach. Furthermore, the gain values of the controller are calculated by solving a set of linear matrix inequalities (LMIs). Eventually, an analytical example is provided to demonstrate the merits and applicability of the prospective method.

Keywords: TS fuzzy control systems; stochastic fault; dynamic output-feedback control; time-varying delay; control input.

DOI: 10.1504/IJDSDE.2023.129514

International Journal of Dynamical Systems and Differential Equations, 2023 Vol.13 No.1, pp.44 - 57

Accepted: 02 Mar 2022
Published online: 13 Mar 2023 *

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