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Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm

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3 Author(s)
Lam, H.K. ; Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China ; Leung, F.H. ; Tam, P.K.S.

This paper presents stability analysis of fuzzy model-based nonlinear control systems, and the design of nonlinear gains and feedback gains of the nonlinear controller using a genetic algorithm (GA) with arithmetic crossover and nonuniform mutation. A stability condition is derived based on Lyapunov's stability theory with a smaller number of Lyapunov conditions. A solution of the stability conditions is also determined using GA. An application example of stabilizing a cart-pole typed inverted pendulum system is given to show the stabilizability of the nonlinear controller.

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Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on  (Volume:33 ,  Issue: 2 )