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 language | English |
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Pages (from-to) | 5051-5057 |
Number of pages | 7 |
Journal | IEEE Transactions on Fuzzy Systems |
Volume | 30 |
Issue number | 11 |
DOIs | |
Publication status | Published - 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