Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems

Document Type : Research Paper

Authors

1 Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India

2 Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India

Abstract

The robust stabilization problem for singular fractional order time delay T-S fuzzy systems with nonlinearities and unknown external disturbances is addressed in this paper. An equivalent-input-disturbance (EID) estimator is used to estimate the impact of external disturbances and nonlinearities on the system output. Based on this EID approach, a dynamic compensator is designed to solve the stabilization problem of the considered system. Moreover, by considering a relevant Lyapunov-Krasovskii functional candidate and by using Lyapunov technique, the stability conditions in terms of LMIs are acquired for the considered closed-loop system. At last, to validate the effectiveness of the proposed result, two numerical examples are provided.

Keywords

Iranian Journal of Fuzzy Systems
Volume 18, Issue 4
July and August 2021
Pages 79-93

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