Delay-dependent H∞ feedback control for discrete-time networked control systems

Based on a new Lyapunov functional, the problem on the delay-dependent H_∞ feedback control for discrete-time networked control systems with interval time-varying delay is discussed. A new Lyapunov functional is given to obtain sufficient conditions on the stability with H_∞ performance for the considered systems. Both H_∞ performance index γ and feedback controller parameter K can be achieved simultaneously by using a cone complementary linearization algorithm to solve the obtained nonlinear matrix inequality. A numerical example illustrates that the obtained new result is less conservative than some existing corresponding ones.