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Title: Fuzzy state feedback controller for nonlinear systems : stability analysis and design
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Keywords: Closed loop control systems
Control system analysis
Control system synthesis
Feedback control
Mathematical models
Matrix algebra
Membership functions
Nonlinear control systems
State estimation
System stability
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. 677-681 How to cite?
Abstract: This paper presents the stability analysis of the fuzzy control system consisting of a nonlinear plant and a fuzzy controller and the design of the membership functions of the fuzzy controller. The nonlinear plant is represented by a fuzzy model having p rules. A c-rule fuzzy state-feedback controller is used to close the feedback loop. A design methodology for the fuzzy controller will be provided. Under this design, the stability condition is reduced to p linear matrix inequalities (LMI). An application example on stabilizing a mass-spring-damper system will be given.
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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