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Delay-Variation-Dependent Criteria on Stability and Stabilization for Discrete-Time T–S Fuzzy Systems With Time-Varying Delays.
- Source :
- IEEE Transactions on Fuzzy Systems; Nov2022, Vol. 30 Issue 11, p4856-4866, 11p
- Publication Year :
- 2022
-
Abstract
- This article is concerned with the stability and stabilization of delayed discrete-time T–S fuzzy systems. The purpose is to develop less conservative stability analysis and state-feedback controller design methods. First, a matrix-separation-based inequality is proposed, which can provide a tighter estimation for the augmented summation term. Then, by constructing a delay-product-type Lyapunov–Krasovskii functional, using the proposed inequality to estimate its forward difference and using a cubic functional negative-determination lemma to handle nonconvex conditions with respect to the delay, a delay and its variation-dependent stability criterion are obtained. Moreover, the corresponding controller design method for closed-loop delayed fuzzy systems is derived via parallel distributed compensation scheme. Finally, two examples are given to demonstrate the effectiveness and merits of the proposed approaches. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10636706
- Volume :
- 30
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 160687925
- Full Text :
- https://doi.org/10.1109/TFUZZ.2022.3162104