引用本文:彭达洲,胥布工.线性时滞关联大系统的分散α-镇定[J].控制理论与应用,2006,23(5):735~739.[点击复制]
PENG Da-zhou, XU Bu-gong .Decentralizedα-stabilization for linear interconnected large-scale time-delay system[J].Control Theory and Technology,2006,23(5):735~739.[点击复制]
线性时滞关联大系统的分散α-镇定
Decentralizedα-stabilization for linear interconnected large-scale time-delay system
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DOI编号  
  2006,23(5):735-739
中文关键词  分散α-镇定  时滞关联大系统  线性矩阵不等式
英文关键词  decentralizedα-stabilization  interconnected large-scale time-delay system  LMI approach
基金项目  广东省自然科学基金博士启动项目(04300046); 国家自然科学基金资助项目(60474047); 国家自然科学基金重点资助项目(60334010).
作者单位
彭达洲,胥布工 华南理工大学自动化科学与工程科学院,广东广州510640 
中文摘要
      通过分析线性时滞关联大系统超越型的特征议程的根的分布,并结合线性矩阵不等式(LMI)技术研究了含多个不确定常时滞的线性时滞关联大系统的可分散α-镇定问题,得到了相应的分散α-反馈控制律.不同于一般的结果,本方法得到的分散控制器不但使得系统可分散镇定,而且还可以确定闭环系统特征方程的根的实部的上界.结果表示为LMI形式,易于进行数值处理.最后以一个数值例子显示了所得结果的有效性及其应用方法.
英文摘要
      The decentralizedα-stabilization for linear interconnected large-scale time-delay system is studied by analyzing the distribution of the roots of their transcendental characteristic equations and using LMI (linear matrix inequality) technology, and corresponding decentralizedα-feedback control law is obtained. Being different from common results, the obtained decentralized controller not only ensured the system robust stabilization, but also let the real part of all roots of the closed loop system's characteristic equation be less than a certain upper bound. The result is presented in the form of LMI problem so that it was easy to be calculated. Finally, a computation example is given to illustrate the proposed method.