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Title: Nonlinear state feedback controller for nonlinear systems : stability analysis and design based on fuzzy plant model
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Issue Date: Aug-2001
Source: IEEE transactions on fuzzy systems, Aug. 2001, v. 9, no. 4, p. 657-661
Abstract: This paper presents the stability analysis of a fuzzy-model-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the non-linear gains of the controller. The nonlinear plant is represented by a fuzzy model having p rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition is reduced to p linear matrix inequalities. An application example on stabilizing a mass-spring-damper system will be given.
Keywords: Nonlinear controller
Nonlinear systems
Stability analysis
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on fuzzy systems 
ISSN: 1063-6706
EISSN: 1941-0034
DOI: 10.1109/91.940975
Rights: © 2001 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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