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Title: LMI-based stability and performance design of fuzzy control systems : fuzzy models and controllers with different premises
Authors: Lam, HK
Leung, FHF 
Issue Date: 2006
Source: 2006 IEEE International Conference on Fuzzy Systems : Vancouver, BC, Canada, July 16-21, 2006, p. 2027-2034
Abstract: This paper presents the stability analysis of the fuzzy control systems based on the fuzzy-model-based approach. The fuzzy controller, which does not require sharing the same premises as those of the fuzzy model, is considered. The class of fuzzy controllers offers the design flexibility and robustness property to the fuzzy control systems. However, conservative stability results will usually be produced compared with the fuzzy control systems with fuzzy controllers sharing the same premises as the fuzzy models. Relaxed LMI-based stability conditions will be derived for this class of fuzzy control systems. Furthermore, LMI-based performance conditions will be given to guarantee the system performance. Numerical examples will be given to illustrate the merits of the proposed approach.
Keywords: Fuzzy control
Mathematical models
Numerical methods
Robustness (control systems)
System stability
Systems analysis
Publisher: IEEE
ISBN: 0-7803-9489-5
Rights: © 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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