Finite-Time Composite Antidisturbance Control for T-S Fuzzy Nonhomogeneous Markovian Jump Systems via Asynchronous Disturbance Observer

Yao Wang, Shengyuan Xu, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This article studies the finite-time composite antidisturbance control problem for nonhomogeneous Markovian jump systems (MJSs) subject to multiple disturbances via the Takagi-Sugeno (T-S) fuzzy control scheme. The designed two-gains disturbance observer (DO) and the considered MJSs are supposed to switch the different Markovian chains, which are depicted by a hidden Markovian model. Herein, an asynchronous DO design is explored for the first time, providing new insight into the construction of asynchronous DO. First, the H∞ /L2-L∞ finite-time boundedness of the augmented system is guaranteed. Second, based on the Finsler lemma, the linearization issue in calculating observer/controller gain is addressed. Finally, two illustrations are presented to verify the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)5051-5057
Number of pages7
JournalIEEE Transactions on Fuzzy Systems
Volume30
Issue number11
DOIs
Publication statusPublished - 2022 Nov 1

Keywords

  • Asynchronous disturbance observer
  • Takagi-Sugeno (T-S) fuzzy systems
  • finite-time control
  • nonhomogeneous Markovian chain

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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