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Guaranteed cost control for uncertain non-linear systems with time-varying delays using T-S fuzzy model.
- Source :
-
International Journal of General Systems . Jul2009, Vol. 38 Issue 5, p485-504. 20p. 1 Chart, 2 Graphs. - Publication Year :
- 2009
-
Abstract
- This paper investigates the guaranteed cost control problem of uncertain non-linear systems with time-varying delays via the Takagi-Sugeno fuzzy model approach. Based on the Lyapunov-Krasovskii functional theory and the linear matrix inequality technique, a state feedback controller is proposed to stabilise the non-linear systems and minimise the guaranteed cost of the closed-loop systems. Both delay-dependent and delay-independent stability criteria are derived to guarantee the asymptotic stability of closed-loop systems. Furthermore, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. Two illustrative examples are provided to verify the validity of the results developed in this paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081079
- Volume :
- 38
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of General Systems
- Publication Type :
- Academic Journal
- Accession number :
- 41130604
- Full Text :
- https://doi.org/10.1080/03081070902753697