Abstract
A compound compensation mechanism was introduced into the car-following system. Two basic compensation methods were combined to generate a compound control strategy to improve the performance of the traffic flow system. The compensation effect was analyzed with unit step response in time domain and bode diagram in frequency domain, respectively. Two lemmas and one theorem were proved with the use of Routh criteria and small gain theorem. Numerical simulations were conducted in two situations under three types of condition. The simulation results verify the truth that with the increasing compensation parameters the stability of the car-following system is strengthened. It is shown that numerical results are in accordance with analytical results. In general, the performance of car-following model can be improved with an exterior control method.
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