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Title: Design and stability analysis of fuzzy model based nonlinear controller for nonlinear systems using genetic algorithm
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Issue Date: 2002
Source: FUZZ-IEEE'02 : proceedings of the 2002 IEEE International Conference on Fuzzy Systems : May 12-17, 2002, Honolulu, Hawaii, p. 232-237
Abstract: This paper presents the stability analysis of fuzzy model based nonlinear control systems, and the design of nonlinear gains and feedback gains of the nonlinear controller using genetic algorithm with arithmetic crossover and non-uniform mutation. A stability condition will be derived based on Lyapunov's stability theory with a smaller number of Lyapunov conditions. The solution of the stability conditions are also determined using GA. An application example of stabilizing a cart-pole inverted pendulum system will be given to show the stabilizability of the nonlinear controller.
Keywords: Closed loop control systems
Control system analysis
Control system synthesis
Genetic algorithms
Lyapunov methods
Mathematical models
Matrix algebra
Membership functions
Multivariable control systems
Nonlinear control systems
Pendulums
System stability
Publisher: IEEE
ISBN: 0-7803-7280-8
Rights: © 2002 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.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
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