Time headway requirements for string stability of homogeneous linear unidirectionally connected systems

Author

Klinge, Steffi ; Middleton, Richard H.

Author_Institution

Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Maynooth, Ireland

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

1992

Lastpage

1997

Abstract

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.

Keywords

automobiles; feedback; linear systems; position control; stability; transfer functions; automobiles; error transfer function; feedback control system; formation control; homogeneous linear unidirectionally connected system; homogeneous string; infimal time headway; integrators; linear system; string stability; time headway requirements; unidirectional nearest neighbour communication; Asymptotic stability; Automobiles; Communication system control; Control systems; Feedback control; Linear systems; Open loop systems; State-space methods; Transfer functions; Vehicle dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399965

Filename

5399965