Guaranteed Cost Control for Nonlinear Networked Control Systems with Uncertainty

Abstract

This paper considers the guaranteed cost control problem for uncertain nonlinear networked control systems (NCSs). Firstly, the NCS model with random 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 applied to design a guaranteed cost controller, which results in that the closed-loop system is asymptotically stable and the systempsilas cost function value is less than a determinate upper bound. Furthermore, the optimal guaranteed cost controller can be obtained through solving the corresponding convex optimization problem. Finally, a simulation example is employed to verify the validity of the proposed control algorithm.