Constant time headway control policy in leader following vehicular platoons: 2-D polynomial approach

Abstract

Constant time headway policy is considered for control of vehicular platoons in future automated highway systems. 2-D polynomial approach is applied, hence dynamics is described using a fraction of two bivariate polynomials. In contrast to some previous works, the platoon here assumes a leader and an infinite number of followers. The usual bilateral z-transform used for doubly infinite vehicular strings is replaced here by a special unilateral z-transform. This naturally brings the boundary conditions into consideration through which the leader vehicle comes into the scene. © 2012 Springer-Verlag.