Abstract: In uncertain networked control systems with distributed delay，in order to solve the problem of the delay and packet loss in the network channel and the parameter perturbation of the controller，etc． ，a design method of non-fragile L2-L∞ controller with distributed delay and network-induced delay is proposed． By selecting a delay-dependent Lyapunov function and constructing the free weighting matrix， the L2-L∞ performance criterion to guarantee the asymptotic stability of closed-loop control systems is derived． The design problem of robust L2-L∞ controller is converted into a convex optimization problem of LMI ( Linear Matrix Inequality) by using the LMI technique． Finally，the comparisons of numerical simulation results verify that the controller can make the open-loop divergent system asymptotically stable under the given performance index，and have better convergence effect than the conventional controller without parameter perturbation．

Key words: networked control systems, distributed delay, non-fragile L2-L∞ control, delay-dependent, free weighting matrix