Relaxed H-infinity Stabilization Conditions for Discrete-Time Fuzzy Systems With Interval Time-Varying Delays
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SCOPUS
- Title
- Relaxed H-infinity Stabilization Conditions for Discrete-Time Fuzzy Systems With Interval Time-Varying Delays
- Authors
- Kim, SH; Park, P
- Date Issued
- 2009-12
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- To derive less-conservative delay-and range-dependent H-infinity stabilization conditions for discrete-time Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays, the use of a fuzzy-weighting dependent Lyapunov-Krasovskii functional (FWLKF), in which all variables are set to be affinely or quadratically dependent on fuzzy weighting functions, is proposed. Subsequently, parameterized linear matrix inequality (PLMI)-based H-infinity stabilization conditions are derived by following the free-weighting matrix approach. To fully exploit the convexity of fuzzy weighting functions, the derived PLMIs are sequentially replaced by a finite set of LMIs by considering all possible conditions associated with fuzzy weighting functions.
- Keywords
- Fuzzy-weighting-dependent Lyapunov-Krasovskii functional (FWLKF); interval time-varying delays; parameterized linear matrix inequalities (PLMIs); relaxation technique; FEEDBACK CONTROLLER-DESIGN; DEPENDENT STABILITY ANALYSIS; UNCERTAIN NEUTRAL SYSTEMS; NETWORKED CONTROL-SYSTEMS; FUNCTIONAL-APPROACH; NONLINEAR-SYSTEMS; STATE DELAY; OBSERVER
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27667
- DOI
- 10.1109/TFUZZ.2009.2028016
- ISSN
- 1063-6706
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 17, no. 6, page. 1441 - 1449, 2009-12
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