Observer-Based Stabilization of Systems With Quantized Inputs and Outputs

We study a stabilization problem for systems with quantized signals. We propose encoding strategies for three signals: the plant output, the control input, and the estimate of the plant output. A controller generates the estimate of the plant output in addition to the control input and then transmits their quantized data to a plant for control and quantization. We obtain sufficient conditions for local practical stability under bounded disturbances and noise. We first develop an encoding method for general stabilizing gains and then tailor it to deadbeat gains. Finally, we illustrate the proposed encoding methods with numerical simulations.