Adaptive optimal fuzzy control of asymmetric nonlinear Chua´s circuit chaos systems

This paper deals with the chaos phenomenon of asymmetric nonlinear Chua´s circuit for wind power generation systems. The Takagi-Sugeno (T-S) fuzzy model of asymmetric nonlinear Chua´s circuit chaos system is built. Based on the optimal theory, the extreme sensitivity in the state trajectory with respect to the initial conditions is exhibited and an adaptive optimal fuzzy controller is designed in the form of linear matrix inequality (LMI). Thus the chaos of asymmetric nonlinear Chua´s circuit with parametric uncertainties is eliminated. The simulation results show that the adaptive optimal fuzzy control system adopting the designed method has good performance and robust capability.