基于信噪比受限通道的网络控制系统镇定

Stabilization of networked control systems over signal-to-noise ratio constrained channels

研究了同时考虑通信和网络特性的线性系统镇定问题.首先针对连续时间网络控制系统,使用线性矩阵不等式方法得到了系统镇定所需要的最小信噪比;然后将问题推广到一类更为复杂的离散时间异构网络控制系统并得到了相似的结论.其中建立的多传感器随机时滞模型很好地刻画了token-passing总线控制网络,它更具有实际意义;最后通过数值例子对以上理论进行了仿真验证,有效表明了系统镇定时被控对象不稳定极点、网络时滞和信噪比之间的关系.

This paper investigates the problem of stabilization for linear system considering communication and network characteristics together. Firstly, the minimal signal-to-noise ratios（SNRs） required for stabilisability are obtained in continuous-time networked control system（NCS） with varying delay by using linear matrix inequality（LMI） approach. Then the similar results are extended to a kind of discrete-time heterogeneous networked control system. The proposed multisensors stochastic delays model which is more practical can depict the characteristic of token-passing bus control network. Finally, the above theories are tested by numerical examples, and relations among unstable poles, delays and SNRs are illustrated explicitly.