Data-driven Finite-Time Control for Discrete-Time Nolinear Systems

A novel data-driven finite-time control (DDFTC) scheme for discrete-time nonlinear non-affine systems is proposed in this paper. Firstly, a linear data model (LDM) is presented for describing the system dynamics satisfying the Lipschitz continuity condition. Then, a fractional order controller involving parameters relating to the error bound is adopted. The tracking error converges to a designated bound within finite time, and the upper bound of the finite-time instant is obtained by using proper Lyapunov function. An example is provided illustrating the result.