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为了缓解城市中央商务区信号控制路网超饱和交通堵塞并预防城市交通死锁,将划分出的堵塞区路网上的累积车辆数作为状态变量,建立了堵塞区路网宏观交通流状态方程。根据庞特里亚金极小值原理求解状态方程,确定Bang-Bang控制为最优控制策略,并使堵塞区路网累积车辆数最快达到最优合理值,从而维持路网通行能力最大;最后将该控制策略在广州老城区堵塞路网中进行测试。结果表明:这种基于观测的控制策略能有效遏制超饱和交通并预防交通死锁,且对进出堵塞区路网的车辆实现了Pareto改进。
In order to alleviate the traffic congestion in urban central business district, and to prevent the urban traffic deadlock, the accumulated traffic count on the blocked traffic network is regarded as the state variable, and the state equation of macro traffic flow in blocked traffic network is established. The Bang-Bang control is determined as the optimal control strategy according to the Puntaria Gold minimum principle and the accumulative number of vehicles in the congestion area network reaches the optimal reasonable value as fast as possible so as to maintain the maximum capacity of the road network; At last, the control strategy is tested in the blockage of the road network in the old city of Guangzhou. The results show that this observation-based control strategy can effectively stop the traffic congestion and prevent traffic deadlock, and improve the Pareto for vehicles entering and going out of the blocked network.