D-Stability Constraint for Discrete-time Networked Control Systems

Abstract

The problem of modeling and D-stability analysis for discrete-time control systems in networked environments is researched. Firstly, a new modeling approach is proposed to describe the network behaviors into a unified framework such as random network-induced delays, packet dropout, and packet disorder etc. And the overall mathematic model of discrete-time networked control systems is derived with state feedback control strategy. Then with this model, the D-asymptotic stability condition, which is dependent on the upper bound of the equivalent network-induced delays, is presented in terms of spectra method. These can guarantee the performance in the presence of communication constraints. Finally, a simulation example is given to demonstrate the effectiveness and efficiency of the proposed theoretical results. Keywords: Discrete-time networked control systems, D-Stability, networked-induced delay, spectra analysis.