Stability Analysis For Nonlinear Networked Control Systems With Constraints Of Communication Channels And Packet Dropouts

The network is widely used in modern industrial control field owing to the advantages in itself. Nonlinear Networked Control Systems (NCSs) that have already been paid much attention are an accurate description on network control. On one hand, the network brings more convenience than traditional control systems; but on the other hand, due to the insertion of transmission process, the system performance may be deteriorated seriously.Based on the Lyapunov stability theory, stability criteria for a class of nonlinear NCSs are proposed, which are subject to time-varying transmission intervals, packet dropouts and communication constraints. Based on the lost packets phenomenon, we put forward kinds of more general protocols:general Input-to-State stable (gISS) protocols, which include the widely used static protocols and dynamic protocols as special cases. By making use of a piecewise Lyapunov function technique, the Input-to-State stability (ISS) properties are presented for the network-induced error system with the protocols mentioned above. Then based on the small gain theorem, the ISS properties are proposed for the whole nonlinear NCSs.By making use of an example on batch reactors, which is usually adopted as a standard one for NCSs in the literature, the effectiveness of the presented results is illustrated. Based on the numerical method, the maximum allowable transmission interval is given to guarantee the stability of the considered NCSs.Finally, the main work of this paper is summarized, and the direction of future research is also pointed out.