Non-fragile Guaranteed-Cost Robust H-infinity Control for a Class of Nonlinear Networked Control Systems with Long Time-Delay

Abstract

This paper deals with a problem on non-fragile guaranteed cost and H∞ robust control for a class of uncertain nonlinear networked control systems (NCSs) with long time-delay. Firstly, the NCS model with a random long time-delay is transformed into a discrete-time system model with uncertain parameters. Then, the Lyapunov stability theory and the linear matrix inequality (LMI) approach are employed to develop the existence condition and to design the non-fragile guaranteed cost and H∞ robust controller. Furthermore, the optimal robust H∞ cost-guaranteed controller is obtained by solving the corresponding convex optimization problem. Finally, a numerical example is provided to demonstrate the validity of the proposed method.