TY - JOUR
T1 - A three-dimensional extension control for the dynamic boundary entrance of congested road networks
AU - Ding, Heng
AU - Qin, Chenyang
AU - Zheng, Nan
AU - Meng, Yuanhao
AU - Zheng, Xiaoyan
AU - Zhang, Yu
N1 - Funding Information:
This research was financially supported by the National Natural Science Foundation of China (Grant Nos. 52072108 and 51878236 ), Science and Technology Plan Project of Anhui Housing and Urban Rural Construction, China ( 2022-YF145 ) and the Municipal Natural Science Foundation of Hefei, China (Grant No. 2022020 ).
Publisher Copyright:
© 2023 Elsevier Ltd
PY - 2023/10
Y1 - 2023/10
N2 - The dynamics and randomness of traffic demand require changes in the scope and boundary flow of congested traffic areas in a timely manner. Because of this, existing control methods have difficulty accurately detecting the boundary flow and executing an effective control strategy. Combined with the characteristics of extension theory, this paper transforms the boundary flow of congested traffic regions into a fuzzy variable and proposes a variable structure three-dimensional extension control method. Variable structure control consists of two parts. The first part is based on the matter-element model, and the correlation function of extension theory, boundary selection and entrance metering (BSEM) is proposed to evaluate the link density data in the periphery of the congested area and determine its dynamic boundary. According to the results of boundary selection, a proportion integration (PI) controller is designed to regulate the input flow of the congested area. Then, considering the measurement error of road network outflow, an extension lifting feedback (ELF) control is proposed. ELF takes the difference between the actual outflow rate of the road network and the expected outflow rate of the macroscopic fundamental diagram (MFD) curve of the congested region as the characteristic variable, divides the road network data, and adopts different control strategies to improve the input flow adjustment accuracy in the congested area. Finally, a case analysis is performed, and the results show that compared with Bang-Bang control, PI control and BSEM for congested regions without considering outflow fluctuation control, the proposed BSEM-ELF cooperative control can effectively reduce the total delay and average fuel consumption of the road network.
AB - The dynamics and randomness of traffic demand require changes in the scope and boundary flow of congested traffic areas in a timely manner. Because of this, existing control methods have difficulty accurately detecting the boundary flow and executing an effective control strategy. Combined with the characteristics of extension theory, this paper transforms the boundary flow of congested traffic regions into a fuzzy variable and proposes a variable structure three-dimensional extension control method. Variable structure control consists of two parts. The first part is based on the matter-element model, and the correlation function of extension theory, boundary selection and entrance metering (BSEM) is proposed to evaluate the link density data in the periphery of the congested area and determine its dynamic boundary. According to the results of boundary selection, a proportion integration (PI) controller is designed to regulate the input flow of the congested area. Then, considering the measurement error of road network outflow, an extension lifting feedback (ELF) control is proposed. ELF takes the difference between the actual outflow rate of the road network and the expected outflow rate of the macroscopic fundamental diagram (MFD) curve of the congested region as the characteristic variable, divides the road network data, and adopts different control strategies to improve the input flow adjustment accuracy in the congested area. Finally, a case analysis is performed, and the results show that compared with Bang-Bang control, PI control and BSEM for congested regions without considering outflow fluctuation control, the proposed BSEM-ELF cooperative control can effectively reduce the total delay and average fuel consumption of the road network.
KW - Dynamic perimeter control
KW - Extension lifting control
KW - Macroscopic fundamental diagram
KW - PI control
KW - Traffic congestion
UR - http://www.scopus.com/inward/record.url?scp=85168425369&partnerID=8YFLogxK
U2 - 10.1016/j.conengprac.2023.105654
DO - 10.1016/j.conengprac.2023.105654
M3 - Article
AN - SCOPUS:85168425369
SN - 0967-0661
VL - 139
JO - Control Engineering Practice
JF - Control Engineering Practice
M1 - 105654
ER -