Stability of Model-Based Networked Control System with Multi-channel and Decentralized Control

This paper addresses the mathematical model, stability, reference model and decentralized controller design problems of model-based networked control system (NCS) with multi-channel and decentralized control. In term of state feedback decentralized control and dynamical state feedback decentralized control for multi-channel, the NCSs are modeled as asynchronous dynamical systems (ADSs). Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the semi-negative definite matrix conditions of exponential stability, reference model and decentralized controller design method for the NCSs are proposed. Furthermore, numerical example is given to illustrate the feasibility of the results.