Stability Analysis of Networked Control Systems with Random Time Delays and Packet Dropouts Modeled by Markov Chains

[摘要] This paper investigates the stability analysis problem for a class of discrete-time networked control systems (NCSs) with random time delays and packet dropouts based onunified Markov jump model. The random time delays and packet dropouts existed infeedback communication link are modeled by two independent Markov chains; the resulting closed-loop system is described by a new Markovian jump linear system (MJLS)with Markov delays. Sufficient conditions of the stochastic stability for NCSs is obtainedby constructing a novel Lyapunov functional, and the mode-dependent output feedbackcontroller design method is presented based on linear matrix inequality (LMI) technique. A numerical example is given to illustrate the effectiveness of the proposed method.

[学科分类] 应用数学