Boundary Observer Design for Stochastic Phase Transition Models of Nonequilibrium Traffic Flow

• 成果类型: Article
• 署名作者: Zhang, Liguo; Li, Xiaoli; Hao, Jianru; Qiao, Junfei
• 署名单位: Beijing University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3056350
• 发表日期: 2021
• 页码: 4828-4835
• 关键词: Observers; Mathematical model; Markov processes; trajectory; Traffic control; data models; Vehicle dynamics; Boundary observers; exponentially mean-square stability; Markov jump linear hyperbolic systems; Next Generation Simulation (NGSIM); nonequilibrium traffic flow

摘要

State estimate of traffic flow of a freeway segment is considered by using the method of boundary observer design. The observer control and measurements are all located at the boundaries. The nonequilibrium traffic flow dynamics are modeled as a Markov jump linear hyperbolic system with phase transitions. Based on the Lyapunov techniques, the sufficient conditions of matrix inequalities are derived for the exponentially mean-square static as well as the dynamic boundary observer design. Using real traffic data of vehicle trajectories from the Next Generation Simulation (NGSIM) project, the developed stochastic phase transition model of the nonequilibrium traffic flow is calibrated. Moreover, the simulation results illustrate the effectiveness of the boundary observer design for traffic estimation.