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To improve the platoon's passability and traffic efficiency, a cooperative lane change approach is proposed when the platoon encounters a slow obstacle vehicle ahead in this paper. The algorithm is designed for the heterogeneous platoon, that is, the vehicles are dynamically decoupled and have different parameters. The vehicles in the platoon can have different communication topologies. To complete the lane change process quickly, all vehicles in the platoon perform simultaneously. The approach is mainly divided into two parts: trajectory planning and cooperative control. In the trajectory planning part, combined with the polynomial method and the optimization method, the leading vehicle plans an optimal lane change trajectory according to its own states and the obstacle vehicle's states. A distributed model predictive control algorithm is designed in the cooperative control part to meet the requirement that all vehicles should change lanes simultaneously. Besides, the sufficient conditions to achieve the asymptotic stability are also given, and the simulation results can show the effectiveness of the algorithm.

This paper presents a distributed model predictive control algorithm to solve the cruise control problem of a heterogeneous platoon. Each following vehicle in the platoon can use the communication equipment to receive the information of the leading vehicle and its preceding adjacent one. The vehicles in the platoon are dynamically decoupled and have different dynamic parameters. Each vehicle solves a local optimal control problem independently. The cost function of each vehicle’s local optimal control algorithm is designed with traceability as the control objective, and its asymptotic stability is guaranteed by using the terminal constraint method. In addition, the timestamps of all vehicles in the platoon are synchronous, which means that in each sampling period, a specific vehicle in the platoon cannot obtain the solution results of other vehicles’ local optimal control problems at the current sampling moment. Under this restriction, the constraints that each vehicle needs to meet to realize the platoon’s string stability are also designed. Finally, the simulation results show the effectiveness of the algorithm.

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