Stability Analysis Of NBFI

Networked control systems (NCSs) are feedback control systems with network channels used for communications between spatially distributed system components like sensors, actuators and controllers. The network-based feedback interconnection (NBFI), is in fact a feedback interconnection inserted networks with limited bandwidth as data transmission media. Actually, NBFIs are natural extensions of the NCSs. The NCS, is in essence that the plant and its remote controller communicate via networks. If we extend the architectures of NCS to the case that two plants interconnect and communicate with each other via networks, then this kind ofcomposite system is the NBFI.In this thesis, the switching Lyapunov function is used to establish the stabilzation conditions. The organization of the thesis is as follows.Firstly, we systematically analyze the characteristics of networked control systems, network-induced time delays, network data packet losses, and the corresponding efects on the control performances.Secondly, an iterative approach was used to model the NBFI with arbitrary but finite data packet losses as a switched system. Then based on the switched model with both arbitrary and Markovian packet losses, the stability conditions were presented in the form of linear matrix inequal by using the switching Lyapunov function. These results were also extended to the unit time delay case.Finally, the problems to be solved in the future were discussed, and we pointed out that the NBFI will be widely used in aerospace and spaceflight, industrial processcontrol and so on.