H∞ control of periodic model of networked control systems

A class of periodic time-varying delay of networked control systems are discussed. A periodic time-varying delay model of networked control system is given. The augmented state matrix method is introduced. The case of the presence of varying delay of networked control systems closed-loop asymptotic stability is discussed, and the H_∞ control of NCS is studied. Based on the Lyapunov function and the linear matrix inequalities (LMIs), the sufficient condition of the NCS which is subject to asymptotic stability is proposed. The controller parameter expression of asymptotic stability of the closed-loop system is given. Simulation analysis shows that the controller can guarantee the closed-loop system is asymptotically stable, and it satisfies performance index γ.