Model predictive control of linear systems over networks with data quantizations and packet losses

This paper addresses the synthesis approach of model predictive control (MPC) for the constrained linear systems under networked environment where both data quantization and packet loss may occur. Based on a previous approach which considers packet loss only, this paper proposes an extended approach which incorporates data quantization effect. Technically, the infinite horizon control moves are parameterized into a single state feedback law, at each sampling instant, and the robust stability is specified for all possible packet losses and quantization errors. Both the closed-loop model and the resultant optimization problem include the previous packet-loss-only results as special cases. A numerical example is given to illustrate the effectiveness of the developed MPC.