MIMO网络控制系统建模与稳定性分析  

Modeling and stabilization of MIMO networked control system

作　　者：李静[1] 左斌[2] 胡云安[2] 康淑瑰[3] 

机构地区：[1]海军航空工程学院战略导弹工程系,山西大同037009 [2]海军航空工程学院控制工程系,山东烟台264001 [3]大同大学数学系,山西大同037009

出　　处：《华中科技大学学报（自然科学版）》2008年第10期15-19,共5页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60674090)

摘　　要：针对被控对象为多输入多输出(MIMO)的网络控制系统,假设传感器与控制器均采用时间驱动,执行器采用片上执行机构,同时考虑到网络控制中存在的时延、数据包丢失和多包传输问题,依据数据寄存和静态调度两种方法,分别建立了多包传输MIMO网络控制系统的模型,基于李雅普诺夫稳定性理论和线性矩阵不等式方法,分别推导出了MIMO网络控制系统渐近稳定的充分条件.通过Matlab中LMI工具箱实现了控制器的设计,仿真结果验证了此方法的有效性,且说明网络控制方法选取与网络的传输条件存在着紧密联系.MIMO （multiple input multiple-output） networked control system with sensors and controllers interconnected through networks was considered. Problems of modeling and stabilization of MI MO networked control systems with delay, data packet dropout and multiple-packet transmission were studied when the sensors and controllers are time-driven, and the actuators are on-chip actuators. By two different methods of data-stored method and the scheduling strategy of the static transmission, the two modeling of MIMO networked control system with multiple-packet transmission are completed respectively, and then the sufficient conditions for the asymptotic stability of the closed loop system are derived based on Lyapunov theory and LMI （linear matrix inequalities）, and the design approach of the controller is proposed based on the feasible solution of LMI. Simulation examples validate the effectiveness of the method presented. Moreover, choosing a networked controller has the close rela tion with the transmission condition of network.

关 键 词：MIMO网络控制系统 时延 数据包丢失 多包传输 李雅普诺夫稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]