Approximate optimal tracking control for a class of discrete-time non-affine systems based on GDHP algorithm

In this paper an infinite-time optimal tracking control scheme is presented for a class of discrete-time non-affine systems, where the optimal tracking controller is composed of two sub-controllers: the feedforward controller and the feedback controller. The feedforward controller is designed by implicit function theorem, while the feedback controller is realized by the greedy Globalized Dual Heuristic Programming (GDHP) iteration algorithm. To facilitate the implementation of the algorithm, three neural networks are adopted. The simulation results have demonstrated the validity of the proposed optimal tracking control scheme.