Robust MPC algorithm for discrete-time systems with time-varying delay and nonlinear perturbations

A robust model predictive control (MPC) algorithm is presented for a class of discrete-time uncertain systems with time-varying delay, input constraints and norm-bounded nonlinear perturbations. By minimizing the upper bound of a cost function, an MPC state feedback control law is calculated at each step. The proposed MPC method for delayed system is delay-dependent, and it is effective to deal with nonlinear perturbations. It has been shown that the robust stability of the closed-loop systems is guaranteed by the proposed algorithm. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.