Speed time lag feedback control method of traffic flow following model

Abstract

The invention discloses a speed time lag feedback control method of a traffic flow following model, and belongs to the field of traffic flow control. According to the invention, a classic optimized speed following model is established under a traffic flow system, and the stability of the optimized speed following model is determined; a classic optimized speed following model is improved through aspeed time-delay feedback control method, and the stability condition of the improved following model containing time-delay feedback control items is determined in combination with the principle of control science; the method further includes determining a value range of a feedback gain coefficient; solving a corresponding stable time delay interval according to a stability switching principle ofa time delay differential equation and a definite integral stability analysis method; designing a controller according to the feedback gain coefficient and the stable time delay interval, enabling theunstable parameter combination of the optimized speed following model to become stable, thus expanding the stable parameter combination interval of the original optimized speed following model, improving the stability of the following model, inhibiting the traffic jam, improving the traffic travel efficiency and the traffic resource utilization rate, and improving the stability of a traffic flowsystem effectively.

Description

technical field [0001] The invention relates to a traffic flow control method, in particular to a speed time-lag feedback control method of a car-following model of traffic flow, and belongs to the field of traffic flow control. Background technique [0002] The car-following model is a dynamic system composed of a large number of vehicles, which has dynamic characteristics such as multi-parameters, coupling, nonlinearity, and uncertainty. Its modeling and automatic control problems are very complicated. At present, the more effective control method is to add the time-delay feedback control item to the right end of the car-following model to improve the stability of the uniform flow of traffic and achieve the purpose of suppressing traffic jams. [0003] The asymptotic stability of traffic flow is related to any fluctuation in vehicle motion and the propagation of a series of fluctuations in vehicle behavior. The adaptive cruise control system can collect the distance and s...

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Problems solved by technology

[0004] However, in the previous controller parameter design, most of them designed the feedback gain coefficient based on the control theory, and then used the method of bringing each time-delay point into the stability condition to verify the stability of the model, and then estimated the time-delay interval. It is simple and convenient to obtain accurate stable time-delay intervals, and the calculation results of time-delay intervals have low accuracy

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