类最小二乘调度与控制的耦合设计  

Coupling design of least-square-like scheduling and control

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作  者:赵顺利[1] 尹逊和[1] 魏学业[1] 张红 

机构地区:[1]北京交通大学电子信息工程学院,北京100044 [2]北京市市政专业设计院股份责任公司,北京100037

出  处:《电机与控制学报》2015年第10期107-116,共10页Electric Machines and Control

基  金:国家自然科学基金(61172022)

摘  要:首先,提出一种将优先级调度与通信序列相结合的类最小二乘调度(LSLS)算法。在每个采样周期内,传感器的测量值传送给LSLS调度器,LSLS调度器将由调度序列确定的测量值与当前时刻调度器内部的理想动态的状态值进行比较,并计算其方差,方差比较大的状态将获得接入网络的权限。其次,将具有媒质接入约束和随机短时延的网络控制系统建模为随着调度信号进行切换的切换系统。借助Lyapunov稳定性理论和线性矩阵不等式方法(LMI)进行了稳定性分析以及控制与调度的耦合设计。最后,对LSLS与控制的耦合设计方法进行了仿真验证,并与已有的最大误差优先-尝试一次丢弃(MEF-TOD)调度与控制的耦合设计方法进行了比较。结果表明,LSLS与控制的耦合设计方法在控制性能上优于MEF-TOD调度与控制的耦合设计方法。First, a new scheduling scheme called least-square-like scheduling ( LSLS ) scheme, which combines priority-based scheduling with communication sequence ( or scheduling sequence ) , was pro-posed. Measurements from sensors were sent to LSLS scheduler in each sampling period, and then the scheduler was compared with the measurements determined by the scheduling sequence of LSLS with the states of the ideal dynamics which are determined by the same sequence. The variances between actual states and ideal states were hence calculated. In this context, the states corresponding to the scheduling sequence of bigger variance gained the access to network. Second, the networked control system with me-dium access constraint and short random delay was modeled as a switched system that switches according to the scheduling sequence. The stability was analyzed and the coupling design of control and scheduling was completed by Lyapunov stability theory and linear matrix inequalities ( LMI) method. Finally, the control performance of the proposed coupling design of LSLS and control is demonstrated by simulation. It is shown that the control performance of the proposed coupling design algorithm is better than the one of the coupling design of maximum error first with try once discard ( MEF-TOD) scheduling and control.

关 键 词:网络控制系统 类最小二乘调度 随机短时延 LYAPUNOV稳定性 线性矩阵不等式 

分 类 号:TP272[自动化与计算机技术—检测技术与自动化装置]

 

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