Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399965
