Guaranteed cost controller design for discrete-time switching fuzzy systems
SCIE
SCOPUS
- Title
- Guaranteed cost controller design for discrete-time switching fuzzy systems
- Authors
- Choi, DJ; Park, PG
- Date Issued
- 2004-02
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- With two level weighting functions, namely, crisp switching-region weighting functions and local fuzzy weighting functions, this paper introduces a discrete-time switching fuzzy system, which inherently contains the features of switched hybrid systems and Takagi-Sugeno (TS) fuzzy systems, and then, for this discrete-time switching fuzzy system, this paper proposes two new guaranteed cost state-feedback controllers minimizing an upper bound of state and input energy called LQ performance under all admissible grades of time-varying fuzzy weighting functions. The first one, associated with a piecewise quadratic Lyapunov function (PQLF), uses time-varying information on the switching-region weighting functions. The second one, associated with a new piecewise fuzzy weighting-dependent Lyapunov function (PFWLF), uses time-varying information on the local fuzzy weighting functions as well as on the switching-region functions. Especially with a new special structure of the candidate of PFWLF, the PFWLF-based controller employs not only the current-time but also the one-step-past information on the time-varying local fuzzy weighting functions.
- Keywords
- discrete-time switching fuzzy systems; guaranteed cost control; piecewise quadratic Lyapunov function; piece-wise fuzzy weighting-dependent Lyapunov function; HYBRID SYSTEMS; STABILITY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/18119
- DOI
- 10.1109/TSMCB.2003.809172
- ISSN
- 1083-4419
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, vol. 34, no. 1, page. 110 - 119, 2004-02
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