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

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.