基于区间代数方法分析嵌入式系统抖动的稳定性  

Stability analysis of embedded systems subject to jitter based on interval algebra approach

作　　者：沈青[1] 桂卫华[1] 阳春华[1] 

机构地区：[1]中南大学信息科学与工程学院

出　　处：《控制与决策》2008年第4期367-371,共5页Control and Decision

基　　金：国家自然科学基金项目(60505018)

摘　　要：针对嵌入式实时调度系统,分析了控制任务的采样周期和延时不规则抖动属性及控制任务的稳定性能.针对抖动引起的时变不确定性,采用区间代数分析方法,构建系统的离散时间闭环区间状态矩阵,通过对单个时不变矩阵范数的判断得到一个保守的系统稳定性充分判据.仿真实例表明,当抖动在有界范围内变化时,该方法简便有效.The stability properties of the embedded real-time scheduling systems whose control loops are subject to sampling and latency jitter are studied. Focused.on the time uncertainty caused by jitter, a discrete-time closed-loop interval matrix is set up based on interval algebra methods. Furthermore, a looser sufficient stabilitY condition by simply evaluating the norm of a time invariant matrix is presented. Simulation results show the effectiveness of the proposed method with jitter bounded systems.

关 键 词：调度 抖动 不确定性 区间代数 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]