引用本文:周红艳,张钊,陈雪波,李华.短时延广义网络控制系统的指数保性能控制[J].控制理论与应用,2023,40(1):178~184.[点击复制]
ZHOU Hong-yan,ZHANG Zhao,CHEN Xue-bo,LI Hua.Guaranteed cost control for exponential stability of singular networked control systems with short delay[J].Control Theory and Technology,2023,40(1):178~184.[点击复制]
短时延广义网络控制系统的指数保性能控制
Guaranteed cost control for exponential stability of singular networked control systems with short delay
摘要点击 1372  全文点击 427  投稿时间:2021-02-02  修订日期:2022-04-21
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DOI编号  10.7641/CTA.2021.10115
  2023,40(1):178-184
中文关键词  广义系统  网络控制系统  指数稳定  保性能控制
英文关键词  singular system  networked control systems  exponentially stable  guaranteed cost control
基金项目  国家自然科学基金项目(71771112), 流程工业综合自动化国家重点实验室开放课题基金资助项目(PAL–N201801), 辽宁科技大学优秀人才培养项 目(2019RC05)资助.
作者单位邮编
周红艳 辽宁科技大学 114051
张钊* 辽宁科技大学 114006
陈雪波 辽宁科技大学 
李华 辽宁科技大学 
中文摘要
      本文基于标称点方法, 在短时变时延条件下, 研究了广义网络控制系统的指数稳定保性能控制问题. 基于 李雅普诺夫稳定性判据和线性矩阵不等式技术, 给出了使得系统能够指数稳定且满足二次型性能指标的状态反馈 控制器存在的条件和设计方法. 通过采用标称点方法, 有效地解决了现有方法没有考虑网络诱导时延与系统保守性 的关系且适用范围有限的问题, 并通过算例验证了有效性. 由于建模过程中充分考虑了系统的保守性, 相比之下获 得了更好的二次型性能指标值.
英文摘要
      In this paper, the exponential stable guaranteed cost control problem of singular networked control systems with short time-varying delay is studied based on the nominal point method. By using the Lyapunov stability criterion and the linear matrix inequality technique, the existence condition and the design method of a state feedback controller are given. The controller enables the system to be exponentially stable and satisfy the quadratic performance index. By using the nominal point method, the defects are solved effectively that the existing methods do not consider the relationship between the network-induced delay and the system conservativeness, and the scope of application is limited. The validity is verified by two examples. As the conservativeness of the system is fully considered in the modeling process, a better quadratic performance index value is obtained.