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

Zejian Zhang1, Dawei Wang2,*, 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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Cite This Article

Z. Zhang, D. Wang, P. Li and X. Gao, "Design of an observer-based controller for t-s fuzzy time-delay systems under imperfect premise matching," Intelligent Automation & Soft Computing, vol. 26, no.5, pp. 905–915, 2020.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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