Finite-time Tracking Control for Discrete-Time Second-Order Unknown Nonlinear Systems

This paper develops a finite-time tracking control scheme for the discrete-time second-order nonlinear systems, where the nonlinear dynamics are not required to be known and the neural network based data-driven method is used. Moreover, the discrete filter is used to avoid the non-causal problem in the controller design. The adaptive conrol laws are proposed and the analysis shows that the proposed control scheme can achieve the finite-time convergence in the finite time by the discrete-time finite-time theory. Finally, the simulation and comparison results validate the theoretical analysis of our algorithm.