The task of this chapter is to introduce a distributed finite time finite time adaptive integral sliding mode control sliding mode control (ISMC) approach for a platoon of vehicles consisting of a leader and multiple followers subjected to bounded unknown disturbances. No knowledge is assumed on the bounds of the disturbances in advance except for the existence of such bounds. A modified constant time headway modified constant time headway (MCTH) policy is introduced to remove the assumption of zero initial spacing and velocity errors. It is shown that the proposed control protocols can ensure strong string stability strong string stability of the whole vehicle platoon vehicle platoon . In addition, an effective method is also proposed to reduce the chattering phenomenon chattering phenomenon caused by the indicator function.