Journal
FUZZY SETS AND SYSTEMS
Volume 159, Issue 20, Pages 2713-2729Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2008.03.009
Keywords
T-S fuzzy systems; robust stability; time-delay systems; linear matrix inequalities (LMIs); stabilization
Funding
- Australian Research Council (ARC) [DP0559111]
- Natural Science Foundation of China (NSFC) [60704024, 60774060]
- Natural Science Foundation of Jiangsu Province of China [BK2006573]
- Australian Government's DEST (Department of Education, Science and Training) [CH070083]
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This paper aims to develop simplified yet improved delay-dependent robust control for uncertain T-S fuzzy systems with time-varying delay. This is achieved through constructing new Lyapunov-Krasovskii functionals and improving Jensen's inequality. Unlike existing work in this area, the approach developed in this paper employs neither free-weighing matrices nor model transformations. As a result, simplified yet improved stability conditions are obtained for T-S fuzzy systems with norm-bounded-type uncertainties. For controller synthesis of the fuzzy systems, the stabilization problem with memoryless state feedback control is solved via utilizing a cone complementarity minimization algorithm. Numerical examples are given to demonstrate the effectiveness of the proposed approach. (C) 2008 Elsevier B.V. All rights reserved.
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