Dynamic output feedback control of networked control systems with aperiodic sampling and time-varying delays

Abstract

This paper investigates the stability and stabilization issues for networked control systems with both aperiodic sampling and time-varying transmission delays in a general case. The delays vary within a given interval which could be larger than the sampling interval. By applying model transformation methods of aperiodic sampling and time-varying delays as well as the lifting method, the discretized closed-loop system with time-varying delays is converted to a discrete-time system with time-varying delays and norm-bounded uncertainties coming from aperiodic sampling, and is then modeled as an interconnected system of which the forward channel is delay-free. An asymptotic stability condition for the closed-loop system is derived, and a dynamic output feedback controller design method is also proposed. A numerical example is finally provided to illustrate the effectiveness of the proposed method.