Open Access

ARTICLE

Design of an Observer-Based Controller for T-S Fuzzy Time-Delay Systems under Imperfect Premise Matching

Zejian Zhang¹, Dawei Wang^2,*, Peng Li¹, Xiao-Zhi Gao³

1 Mechanical Engineering College, Beihua University, Jilin, 132021, China
2 Mathematic College, Beihua University, Jilin, 132013, China
3 School of Computing, University of Eastern Finland, Joensuu, 70211, Finland

* Corresponding Author: Dawei Wang. Email:

Intelligent Automation & Soft Computing 2020, 26(5), 905-915. https://doi.org/10.32604/iasc.2020.010123

Abstract

In this paper, the stabilization problem of an observer-based T-S fuzzy time-delay system under imperfect premise matching is studied, in which the T-S fuzzy observer model with time-delay and the fuzzy controller do not share the same membership functions. The objective is to design a state observer and unmatching fuzzy controller such that the closed-loop system with time-delay is asymptotically stable. A sufficient condition for the stabilization via observerbased state feedback under imperfect premise matching is presented, and an observer-based state feedback controller under imperfect premise is also constructed. The proposed control scheme is well capable of enhancing the design flexibility, because the membership functions of the observer-based controller can be arbitrarily selected. A few numerical examples are given to illustrate the effectiveness and advantages of our design method.

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Keywords

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