Analysis of optimal performance of MIMO networked control systems with encoding and packet dropout constraints
Junwei Hu, Xisheng Zhan, Jie Wu, Huaicheng Yan
Abstract
In this study, optimal performance of the multi‐input multi‐output networked control systems (NCSs) is analysed. The systems are with a time‐delay and channel noise constraints in the forward network channel, and encoding–decoding and quantisation constraints, and packet dropouts in the feedback network channel. By using the Youla parameterisation of a two‐degree‐of‐freedom controller, a new and explicit expression of the optimal performance is derived. The optimal performance is obtained using the method of norm technique. The results show that the positions and directions of the non‐minimum phase zeros and unstable poles of a given plant are related to the optimal tracking error. On the other hand, the optimal tracking error is dependent on channel noise, quantisation noise, encoding–decoding, time‐delay, packet dropout probability and other correction factors. Finally, simulation results demonstrate the effectiveness of the proposed control scheme.