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网络化非周期采样控制系统的主动时间滞后控制: 随机脉冲切换系统方法

贺彦君 马伟伟 池小波

贺彦君, 马伟伟, 池小波. 网络化非周期采样控制系统的主动时间滞后控制: 随机脉冲切换系统方法[J]. 应用数学和力学, 2021, 42(4): 422-430. doi: 10.21656/1000-0887.410213
引用本文: 贺彦君, 马伟伟, 池小波. 网络化非周期采样控制系统的主动时间滞后控制: 随机脉冲切换系统方法[J]. 应用数学和力学, 2021, 42(4): 422-430. doi: 10.21656/1000-0887.410213
HE Yanjun, MA Weiwei, CHI Xiaobo. Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach[J]. Applied Mathematics and Mechanics, 2021, 42(4): 422-430. doi: 10.21656/1000-0887.410213
Citation: HE Yanjun, MA Weiwei, CHI Xiaobo. Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach[J]. Applied Mathematics and Mechanics, 2021, 42(4): 422-430. doi: 10.21656/1000-0887.410213

网络化非周期采样控制系统的主动时间滞后控制: 随机脉冲切换系统方法

doi: 10.21656/1000-0887.410213
基金项目: 国家自然科学基金(61803244);山西省应用基础研究计划青年科技研究基金(201901D211416);山西省高等学校科技创新项目(2019L0488)
详细信息
    作者简介:

    贺彦君(1989—), 女, 硕士(E-mail: 530345027@qq.com); 马伟伟(1989—), 男, 讲师, 博士(通讯作者. E-mail: maweiwei@sxufe.edu.cn).

  • 中图分类号: O231.3

Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach

Funds: The National Natural Science Foundation of China(61803244)
  • 摘要: 研究了一类带有随机丢包的非周期采样网络化控制系统的镇定问题.不同于传统观点往往将时滞看作系统稳定性的消极因素,考虑时间滞后对系统稳定性的积极影响, 并提出一个新颖的主动时间滞后控制方法来镇定该系统.为了分析时间滞后控制的积极作用并获得较低保守性的结论,首先把带随机丢包的非周期采样系统建模为带固定切换率的随机脉冲切换系统, 并在均方意义下提出一个新的分离引理用于分析随机脉冲切换系统的稳定性.然后,基于环泛函方法和所提的分离引理,以线性矩阵不等式形式给出随机脉冲切换系统的均方稳定性判据.进一步,利用区间分割技术得到改进的均方稳定性判据.最后,利用一个经典的数值例子来验证所得稳定判据的有效性和所提方法的优势.
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出版历程
  • 收稿日期:  2020-07-15
  • 修回日期:  2020-12-24
  • 刊出日期:  2021-04-01

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