Stabilization of Minimum-Phase Linear Uncertain Systems With Quantized Measurement Output and Disturbances

Abstract

In this paper, we study the robust stabilization problem of minimum-phase linear uncertain systems with the quantized measurement output and external disturbances. Although the stabilization problem of linear systems by quantized feedback control has been well addressed, the robust stabilization problem subject to external disturbances by quantized feedback control is still an open problem. It is quite challenging to tackle the system uncertainty and external disturbances by quantized output feedback. By Lyapunov analysis, we design a dynamic quantized output feedback control law to solve the problem. In contrast to existing results where the input-to-state stability with respect to external disturbances is attained for the linear system by quantized state feedback control, the asymptotic stability of the linear system is achieved in the presence of system uncertainties and disturbances by the dynamic quantized output feedback control law.