Designing model predictive control with one free control move for linear systems over networks with bounded packet loss

This paper considers stabilization of discrete-time linear systems, where network exists for transmitting the sensor and controller information, and arbitrary bounded packet loss occurs between the sensor and controller, and between the controller and actuator. The stabilization of this system is transformed into the robust stabilization of a set of systems. The packet-loss dependent Lyapunov method is applied for the possibility of achieving closed-loop stability. A design approach of MPC, parameterizing the infinite horizon control moves into one free control move followed by a single state feedback law, is proposed. A simulation example is given to illustrate the effectiveness of the proposed MPC.