Abstract:

The problem of non fragile guaranteed cost control for a class of nonlinear networked control systems with random delay and controller gain disturbance is considered. Based on variable period sampling approach, the networked control system is modeled as a nonlinear Markov jumping system. A sufficient condition is given so that the closed loop system is asymptotically stable in the mean square via Lyapunov stability theory. By making use of the linear matrix inequality method, a non fragile state feedback controller is designed, and the closed loop energy function value is not more than a specified upper bound under this controller. Finally, an example is presented to illustrate the effectiveness of the proposed method.