Time headway requirements for string stability of homogeneous linear unidirectionally connected systems
Klinge, Steffi and Middleton, Richard H. (2009) Time headway requirements for string stability of homogeneous linear unidirectionally connected systems. In: Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, December 16-18, 2009, Shanghai, P.R. China.
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 and derive a formula for the infimal time headway to guarantee string stability.
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