Stability design for a class of nonlinear networked control systems

The state feedback absolutely stabilizing controller for a class of networked control system is designed. Supposed that the network time-delay is random, the networked control system that the plan is a class of time-delay systems with nonlinearities satisfying a given sector condition is modeled as a hybrid system. Furthermore, the Lyapunov-Krasovskii function and linear matrix inequality methods are used to derive a sufficient condition, which can guarantee that the networked control system is absolute stable. Based on the sufficient condition, in terms of convex optimization techniques, the controller and the maximum allowable transfer interval are obtained easily. The numerical and simulation example are presented to demonstrate the effectiveness of the approach.