Receding horizon control and scheduling of quantized control systems with communication constraints

This paper investigates the problem of joint design of a receding horizon control and the medium access scheduling for quantized control systems over limited bandwidth networks, in which only a limited number of actuators are allowed to communicate with the controller at each time instant. By introducing a communication scheduling matrix to describe the medium access status and considering the influence of quantizers, we can model the control system as a switched model with structured norm-bounded uncertainties. The stabilizing channels with guaranteed stability are chosen first. Based on the stabilizing channels, a receding horizon control strategy with optimal dynamic resource allocation is proposed by minimizing the upper bound on a finite-horizon quadratic performance index. Simulation results show the effectiveness of the developed method finally.