Stabilization of Quantized Feedback Control Systems with Communication Constraints

This paper addresses the problem of stabilizing discrete-time linear systems with quantized state feedback control, where sensors, controllers and plants are connected by noisy communication channels. The approach to be proposed here is to implement dynamic uniform quantizers and dynamic state feedback controllers. The case with disturbance inputs is argued. It is derived that based on the policy, the dynamic state feedback controller can stabilize the unstable plant. Simulation results show the validity of the proposed quantization policy.