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Study of the intelligent vehicle platoon stability is always one focus of the automated highway system. The stability and control problem of the intelligent vehicle platoon will be studied, a parameter adaptive PID control algorithm is promoted as well as the analysis of the stability of the intelligent vehicle platoon based on this algorithm. Stability of the transfer function from the velocity and spacing distance of the platoon is raised. When the number of vehicles in the platoon is large, there occurs the bounded stability problems, a autonomous-nonautonomous hybrid control strategy is raised to meet asymptotically stability and bounded stability of the system at the same time.