网络控制中基于LMI的次优化允许等价时滞界研究

Study of Suboptimal Allowable Equivalent Delay Bound in Networked Control Systems based on LMI

针对网络控制问题,建立包含变网络时延及网络传输丢包等非理想网络状况的系统统一模型。提出将非理想网络状况转化为次优化允许等价时滞界的方法。通过引入自由矩阵及次优化允许等价时滞界方法,将求取最大允许时延问题转化为基于LMI的次优化允许等价时滞界求解问题并提出相应求解算法。仿真结果说明该方法具有较小的保守性。

The acquirement of suboptimal allowable equivalent delay bound in the Networked Control Systems （NCS） was put forward. An integrated model including the non-ideal network conditions such as network-induced delay, data packet dropout and wrong-sequence was proposed. A method of transferring the nonideal network Quality of Service （QoS） to Suboptimal Allowable Equivalent Delay Bound （SAEDB） was proposed. By importing the free matrix and SAEDB and solving a suboptimal LMI, the SAEDB could be obtained. Simultaneously an algorithm was proposed to obtain the SAEDB. Simulation results show the effectiveness of the proposed methods.