LMI-Based Model Predictive Control for Linear Discrete-Time Periodic Systems

This paper presents a new model predictive control (MPC) scheme for linear constrained discrete-time periodic systems. In each period of the system, a new periodic state feedback control law is computed via a convex optimization problem that minimizes an upper bound on an infinite horizon cost function subject to state and input constraints. The performance of the proposed model predictive controller, that stabilizes the discrete-time periodic system if it is initially feasible, is illustrated via an example.