无限维关联系统的弦稳定性

张继业; 杨翊仁; 曾京

无限维关联系统的弦稳定性

1.
西南交通大学牵引动力国家重点实验室, 成都610031;
2.
西南交通大学应用力学研究所, 成都610031

基金项目: 国家自然科学基金资助项目(59935100)

详细信息

作者简介:
张继业(1965~ ),副教授,博士,研究方向:稳定性理论,流固耦合振动,车辆动力学.

中图分类号: O317;TP13
计量
- 文章访问数: 2302
- HTML全文浏览量: 116
- PDF下载量: 770
- 被引次数: 0
出版历程
- 收稿日期: 1998-07-24
- 修回日期: 2000-04-16
- 刊出日期: 2000-07-15

String Stability of Infinite Interconnected Systems

1.
National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, P R China;
2.
Institute of Applied Mechanics, Southwest Jiaotong University, Chengdu 610031, P R China

摘要

摘要: 对一类无限维关联系统引入弦稳定概念。系统弦稳定意谓着,当关联系统的初始状态为有界时,对任意时刻系统的状态也是有界的。本文将向量V函数法推广到无限维系统中,得到了关联系统渐近弦稳定的充分条件,克服了以前的方法在处理非线性系统的稳定性问题上的困难,扩大了系统稳定的参数范围。
- 无限维 /
- 关联系统 /
- 向量V函数法 /
- 弦稳定性
Abstract: The notion of string stability of a countably infinite interconnection of a class of nonlinear system was introduced.Intuitively,string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded.Vector V-function method used to judge the stability is generalized for infinite interconnected system and sufficient conditions which guarantee the asymptotic string stability of a class of inter-connected system are given.The stability regions obtained here are much larger than those in previous papers.The method given here overcomes some difficulties to deal with stability of infinite nonlinear interconnected system in previous papers.
- infinite-dimension /
- interconnected system /
- vector V-function method /
- string stability

HTML全文

参考文献(13)

[1]	Siljak D D. Large-Scale Dynamic Systems Stability and Structure[M]. Amstrerdam: North-Holland,1978.
[2]	Davison E J, Tripathi N. The optimal decentralized control of a large power system: Load and frequence control[J], IEEE Trans Automat Control,1978,23(2):312～325.
[3]	Ei-Sayed M L, Krishnaprasad P S. Homogenous interconnected systems: A example[J]. IEEE Trans Automat Control,1981,26(4):894～901.
[4]	Ozguner U, Barbieri E, Decentralized control of a class of distributed parameter systems[A]. In: Proc IEEE Conf Decision Contr[C]. Dec,1985,932～935.
[5]	Melzer S M, Kuo B C. Optimal regulation of systems described by a countably infinite number of objects[J]. Automatica,1971,7:359～366.
[6]	Levine J, Athans M. On the optimal error regulation of a string of moving vehicles[J]. IEEE Trans Automat Control,1966,11(11):355～361.
[7]	Barbieri E. Stability analysis of a class of interconnected systems[J]. Journal of Dynamic System Measurements Control,1993,115(3):546～551.
[8]	Caudill R E, Garrard W L. Vehicle follower longitudinal control for automated transit vehicles[J]. Journal of Dynamic System Measurements Control,1977,99(4):241～248.
[9]	舒仲周. 比较方程的稳定性[J]. 数学年刊,1986,7(6):676～684.
[10]	舒仲周. 大系统渐近稳定的一般判定定理[J]. 系统科学与数学,1990,10(1):93～96.
[11]	张继业,舒仲周. 大系统渐近稳定的向量V函数法[J]. 控制理论与应用,1996,13(3):386～390.
[12]	Chu K C. Decentralized control of high speed vehicle strings[J]. Transportation Res,1974,362～383.
[13]	Swaroop D, Hedrick J K. String stability of interconnected systems[J]. IEEE Trans Automat Control,1996,41(3):349～357.