H-infinity State-Feedback Control Design for Fuzzy Systems Using Lyapunov Functions With Quadratic Dependence on Fuzzy Weighting Functions
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- Title
- H-infinity State-Feedback Control Design for Fuzzy Systems Using Lyapunov Functions With Quadratic Dependence on Fuzzy Weighting Functions
- Authors
- Kim, SH; Park, P
- Date Issued
- 2008-12
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- This paper proposes a method for designing an H-infinity state-feedback fuzzy controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To derive less conservative H-infinity stabilization conditions, this paper enhances the interactions among the fuzzy subsystems using a multiple Lyapunov function with quadratic dependence on fuzzy weighting functions. Besides, for more allocation of the nonlinearity to the fuzzy control system, this paper introduces a slack variable that is quadratically dependent on the one-step-past fuzzy weighting functions as well as the current ones. In the derivation, the H-infinity stabilization conditions are formulated in terms of parameterized linear matrix inequalities (PLMIs), which are reconverted into LMI conditions with the help of an efficient relaxation technique.
- Keywords
- Fuzzy-weighting-dependent Lyapunov function (FWDLF); H(infinity) performance; relaxation technique; TAKAGI-SUGENOS FORM; NONLINEAR-SYSTEMS; STABILITY ANALYSIS; STABILIZATION CONDITIONS; ROBUST STABILITY; LMI CONDITIONS; MODELS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29140
- DOI
- 10.1109/TFUZZ.2008.2005694
- ISSN
- 1063-6706
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 16, no. 6, page. 1655 - 1663, 2008-12
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