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基于区间代数方法分析嵌入式系统抖动的稳定性
引用本文:沈青,桂卫华,阳春华.基于区间代数方法分析嵌入式系统抖动的稳定性[J].控制与决策,2008,23(4):367-371.
作者姓名:沈青  桂卫华  阳春华
作者单位:1. 中南大学,信息科学与工程学院,长沙,410083;国防科技大学,指挥军官基础教育学院,长沙,410003
2. 中南大学,信息科学与工程学院,长沙,410083
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闻状态矩阵,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.

关 键 词:调度  抖动  不确定性  区间代数  稳定性
文章编号:1001-0920(2008)04-0367-05
收稿时间:2006-12-19
修稿时间:2006年12月19

Stability analysis of embedded systems subject to jitter based on interval algebra approach
SHEN Qing,GUI Wei-hua,YANG Chun-hua.Stability analysis of embedded systems subject to jitter based on interval algebra approach[J].Control and Decision,2008,23(4):367-371.
Authors:SHEN Qing  GUI Wei-hua  YANG Chun-hua
Affiliation:SHEN Qing1,2,GUI Wei-hua1,YANG Chun-hua1 (1.School of Information Science , Engineering,Central South University,Changsha 410083,China,2.School of Basic Education for Officers,National University of Defense Technology,Changsha 410003,China.)
Abstract: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.
Keywords:Scheduling  Jitter  Uncertainty  Interval algebra  Stability  
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