Stability analysis of networked control systems with multi-parameter constraints

In this paper, the stability of networked control systems with channel noise, bandwidth, packet dropouts and delay constraints are studied. The stability of networked control system is analyzed by frequency domain method. The performance of a communication network is reflected by time delay, noise, packet dropouts and network bandwidth. By frequency domain analysis and spectrum decomposition technique, the minimum SNR expression of stable networked control systems is obtained. In addition, the minimum value of system stability is determined by the time delay, packet dropouts, bandwidth of the communication network, and the locations of unstable poles and non-minimum phase zeros of the given model. The final results show the relationship between the stability of the networked control systems, the structural characteristics of the given model (such as the position of non-minimum phase zero and unstable poles) and the parameters of the communication network (delay, packet dropouts and bandwidth). Finally, the effectiveness of the proposed method is illustrated by a numerical example.