A data-driven trajectory tracking control method based on adaptive Fourier decomposition for linear discrete systems

Data-driven control methods are a hot issue in the field of control in recent years. In this paper, a trajectory tracking control algorithm based on adaptive Fourier decomposition is proposed for linear discrete systems by using the adaptive and fast convergence characteristics of adaptive Fourier decomposition. The algorithm implements the data-driven output control of the system without using the model information. And the entire algorithm process has no parameters needed to be selected, which makes the algorithm fully adaptive. The simulation verifies the effectiveness of the proposed algorithm.