Robust H∞ Control of Networked Controol System

This note considers H
_∞
control of Networked control system with norm-bounded uncertainties and Markov communication delays. The system can be modeled as discrete-time Markov jump linear system with stochastic time-delays. Stochastic stability of Networked control system is studies, H
_∞
norm is used to measure system performance, a synthesis method to robust H
_∞
controller is presented by finding optimal solution to a coupled linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed approach.