Finite-time Composite Anti-disturbance 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

Abstract

This paper studies the finite-time composite anti-disturbance control problem for nonhomogeneous Markovian jump systems (MJSs) subject to multiple disturbances via the 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
JournalIEEE Transactions on Fuzzy Systems
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • asynchronous disturbance observer
  • Disturbance observers
  • Estimation error
  • Finite-time control
  • Linear matrix inequalities
  • nonhomogeneous Markovian chain
  • Stability criteria
  • Switches
  • T-S fuzzy systems
  • Technological innovation
  • Uncertainty

ASJC Scopus subject areas

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

Fingerprint

Dive into the research topics of 'Finite-time Composite Anti-disturbance Control for T-S Fuzzy Nonhomogeneous Markovian Jump Systems via Asynchronous Disturbance Observer'. Together they form a unique fingerprint.

Cite this