Abstract: This paper deals with the controller design problem of a networked control system with the networkedinduced delay. A networked control system discrete model is designed, and a fuzzy stable controller based on parallel distributing compensation theory is proposed. The design method of membership function is presented. Lyapunov theorem and Linear Matrix Inequality method are used to derive the sufficient condition that guarantee the stability of networked control systems. A simulation example with Matlab demonstrates the effectiveness of the proposed method.

Key words: NCSs, fuzzy model, PDC, LMI