Design and stability analysis of fuzzy model-based nonlinear controller for nonlinear systems using genetic algorithm
Hak‐Keung Lam, Frank H. F. Leung, P.K.S. Tam · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2003
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.