Open Access
ARTICLE
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.
Keywords
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. https://doi.org/10.32604/iasc.2020.010123