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Title: Stability and robustness analysis and gain design for fuzzy control systems subject to parameter uncertainties
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Keywords: Control system analysis
Control system synthesis
Gain control
Lyapunov methods
Nonlinear control systems
Robustness (control systems)
System stability
Uncertain systems
Issue Date: 2000
Publisher: IEEE
Source: FUZZ IEEE 2000 : the ninth IEEE International Conference on Fuzzy Systems : 7-10 May 2000, San Antonio, Texas, p. 682-687 How to cite?
Abstract: This paper presents the stability and robustness analysis for fuzzy control systems subject to parameter uncertainties, and the design of gains for the fuzzy controller. Based on Lyapunov stability theory, stability and robustness conditions will be derived. The stability conditions involves only p+1 linear matrix inequalities, where p is the number of rules of the fuzzy controller. A design methodology for the gains of the fuzzy controller will be given. An application example on stabilizing a nonlinear mass-spring-damper system subject to parameter uncertainties will be given to illustrate the merits of the proposed fuzzy controller.
ISBN: 0-7803-5877-5
Rights: © 2000 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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