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Constructing Common Quadratic Lyapunov Functions for a Class of Stable Matrices
  • ISSN号：0254-4156
  • 期刊名称：《自动化学报》
  • 时间：0
  • 分类：O23[理学—运筹学与控制论;理学—数学] TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]School of Automation, Harbin Engineering University, Harbin Heilongjiang 15001, China, [2]Department of Automation, Tsinghua University, Beijing 100084, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China（No.60343001, 60221301 ） and the Foundation of Harbin Engineering University.
作者： ZHU Ya-Hong CHENG Dai-Zhan QIN Hua-Shu[1]
关键词： 开关线性系统, 开关定律, 稳定性, 控制理论, Switched linear systems, Switching law, Critical dwell time, Stabilization
中文摘要：

在这篇论文，我们考虑在切换的居住时间和交换线性控制系统的稳定之间的关系。首先，没有控制输入，批评居住时间的一个概念为交换线性系统被给，并且批评居住时间为交换线性控制作为一个任意的给定的积极常数被花与可控制的切换的模型一起的系统。第二，当一个交换线性系统有许多 stabilizable 交换模型时，全面系统的稳定的问题被考虑。联机反馈控制被设计以便全面系统是 asymptotically，在交换切换的控制不了的分系统仅仅取决于那些的法律下面的 stabilizable 当模特儿。最后，当一个交换系统部分是可控制的时(当一些切换时，模型可能是 unstabilizable ) ，以后线反馈控制和周期的切换策略被设计以便全面系统是 asymptotically stabilizable 如果都交换这的模型控制不了的分系统 areasymptotically 稳定。另外，为设计切换的法律和控制的算法被介绍。

英文摘要：

In this paper, we consider the relation between the switching dwell time and the stabilization of switched linear control systems. First of all, a concept of critical dwell time is given for switched linear systems without control inputs, and the critical dwell time is taken as an arbitrary given positive constant for a switched linear control systems with controllable switching models. Secondly, when a switched linear system has many stabilizable switching models, the problem of stabilization of the overall system is considered. An on-line feedback control is designed such that the overall system is asymptotically stabilizable under switching laws which depend only on those of uncontrollable subsystems of the switching models. Finally, when a switched system is partially controllable （While some switching models are probably unstabilizable）, an on-line feedback control and a cyclic switching strategy are designed such that the overall system is asymptotically stabilizable if all switching models of this uncontrollable subsystems are asymptotically stable. In addition, algorithms for designing switching laws and controls are presented.

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期刊信息
  • 《自动化学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国自动化学会 中国科学院自动化研究所
  • 主编：王飞跃
  • 地址：北京东黄城根北街16号
  • 邮编：100717
  • 邮箱：aas@ia.ac.cn
  • 电话：010-64019820
  • 国际标准刊号：ISSN：0254-4156
  • 国内统一刊号：ISSN：11-2109/TP
  • 邮发代号:2-180
  • 获奖情况:
  • 1997年获全国优秀期刊奖,1985、1990、1996、2000年获中国科学院优秀期刊二等奖,2002年获国家期刊奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:27550