Research Article

Optimal Spacing Policy for Vehicle Platoon Control with Road-Friction Coefficient

Algorithm 1

The vehicle platoon control algorithm with optimal spacing policy.
Input: the initial position: ; the initial velocity: ; the road-friction coefficient function: ; the controller parameters including ;
Output: the vehicle platoon with optimal spacing policy.
(1)According to (5), calculate the centroids of Voronoi regions with initial positions ;
(2)fordo
(3)fordo
(4)  According to (7), calculate ;
(5)  Calculate and based on (1);
(6)  Construct integrated sliding surface by employing (8);
(7)  Based on (11) and (19), Calculate the and ;
(8)  According to (23), calculate ;
(9)  According to (1), update the positions of vehicles, ;
(10)end for
(11) Let . Then, calculate the updated Voronoi region and centroid ;
(12)end for