Time Headway Requirements for String Stability of Homogeneous Linear Unidirectionally Connected Systems

被引：71

作者：

Klinge, Steffi ^{[1
]}

Middleton, Richard H. ^{[1
]}

机构：

[1] NUI Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

关键词：

DISTURBANCE PROPAGATION;

D O I：

10.1109/CDC.2009.5399965

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates string stability issues in homogeneous strings of strictly proper feedback control systems with unidirectional nearest neighbour communications, using only linear systems with two integrators in the loop. We show under which conditions the induced L2-norm of the disturbance to error transfer function is bounded independently of the string length when using a constant time headway and derive a formula for the infimal time headway to guarantee string stability.

引用

页码：1992 / 1997

页数：6

共 16 条

[1]

Barooah P., 2009, IEEE T AUTO IN PRESS

[2]

Barooah P, 2005, IEEE DECIS CONTR P, P4964

[3]

Chien C. C., 1992, Proceedings of the 1992 American Control Conference (IEEE Cat. No.92CH3072-6), P1748

[4]

DAVIS JH, 1977, APPL MATH OPT, V3, P163, DOI 10.1007/BF01441964

[5] A simplified framework for string stability analysis of automated vehicles [J].

Eyre, J ;

Yanakiev, D ;

Kanellakopoulos, I .

VEHICLE SYSTEM DYNAMICS, 1998, 30 (05) :375-405

[6]

Horn R. A., 2012, Matrix Analysis

[7]

Kai-ching Chu, 1974, Transportation Science, V8, P361, DOI 10.1287/trsc.8.4.361

[8] Bounded stability and eventual string stability of a large platoon of vehicles using non-identical controllers [J].

Khatir, ME ;

Davison, EJ .

2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :1111-1116

[9]

Klinge S., 2008, THESIS

[10]

Lestas I, 2007, P AMER CONTR CONF, P5315

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