准滑模控制应用于行人通道的交通瓶颈

Application of the quasi-sliding-mode control to traffic bottleneck in pedestrian channel

单向行人交通在瓶颈处极易发生堵塞,设置障碍会阻碍行人通行,却能保证瓶颈处通畅.本文将准滑模控制引入LWR模型中,理论推导控制变量.在三车道宏观交通流模型基础上,模拟瓶颈处的障碍对行人流的影响,解释设置障碍的作用.研究表明准滑模控制变量的设置与阈值有关,当阈值对应基本图的流量最大点时,行人流量能保持最大值,达到提高单向行人交通瓶颈处的行人流通过效率.

The congestion of pedestrian traffic occurs easily at the bottleneck. Barriers could impede pedestrian channel,but it can ensure the smooth flow of pedestrians. Quasi-sliding mode control will be introduced in LWR model. The control variable can be derived for simulation at the impact of barriers. Based on the three-lane macroscopic traffic flow model,we carry out simulation to verify our control methods. The results indicate that the maximum pedestrian flow can be maintained due to the threshold value of the quasi-sliding mode control variables as the threshold value corresponds to one of the maximum flows in the fundamental diagram. Optimization of control variables can improve efficiency of one-way pedestrian at bottleneck.