Optimal tracking control for a class of continuous time complex-valued systems based on adaptive dynamic programming algorithm

Based on the adaptive dynamic programming (ADP) algorithm, a new optimal tracking control method is proposed for a class of complex-valued nonlinear systems in this paper. The tracking error is first defined, and then the performance index function which is about the tracking error is given. By transformation, the complex-valued tracking error system is mapped into real-domain. The optimal control method for the tracking error system is presented. The two neural networks are used to be as the critic network and action network, respectively. It is proven that the closed-loop system is uniformly ultimately bounded based on Lyapunov technique. Finally, the simulation study is given to show the effectiveness of the proposed optimal tracking control method for complex-valued nonlinear system.