Adaptive Fuzzy Inverse Optimal Control for A Class of Two Order Nonlinear Systems

Abstract

This study develops an adaptive fuzzy inverse optimal control method for a class of two order nonlinear systems with unknown nonlinear dynamics. By using the knowledge of a control Lyapunov function and the universal approximation property of a fuzzy logic system, the inverse optimal control design and unknown nonlinear dynamics problems are solved, respectively. A new adaptive fuzzy optimal controller is constructed based on backstepping design principle, and the stability and optimality are proven by using rigorous mathematical reasoning.