Continuous-time Markov chains based H∞ control of networked control systems

This paper deals with the H_∞ control for a class of continuous-time networked control systems based on continuous-time Markov chains. Firstly, with controller switching strategy, a class of linear continuous-time networked control systems are modeled as continuous-time Markov jump linear systems. Secondly, using the Lyapunov functional approach, sufficient conditions on the existence of an H_∞ controller for linear continuous-time networked control systems are obtained. Meanwhile, the occurring rate of dropouts or large delays, as well as the sojourn time of each mode with dropout or large delay, respectively, without dropout and large delay are investigated with the Chapman-Kolmogorov equation.