Abstract
This paper presents a traffic flow control scheme of connected vehicles to stabilize a traffic system with on-ramps from a macromodel point of view. Firstly, this paper establishes a lattice hydrodynamic model with on-ramps, and an output feedback controller is designed based on the characteristics of connected vehicles. Then, by using the Lyapunov–Krasovskill functional analysis method, this paper studies the delay-dependent convergence conditions of the control method. String stability is defined as the nonamplification of the downstream disturbance of a traffic flow when it propagates upstream. The influence of the on-ramps is regarded as a stochastic disturbance in this paper. Through a theoretical analysis, the control conditions that can ensure the string stability of the traffic system under the influence of on-ramp are obtained. Finally, numerical experiments are carried out to compare the traffic states of the traffic system with and without control. The results show that the proposed control can effectively suppress the instability of the traffic system.
Highlights
On the research of the traffic flow theory, scholars have used the macro hydrodynamic model to study and used the related partial differential equations to describe the relationship between traffic parameters [4–8]
The convergence analysis of the on-ramp traffic system is performed, and the control gain is determined. e fourth part of the paper illustrates the effectiveness of the control scheme through numerical experiments, and we summarize the paper
Under the condition of network connection, we proposed a control strategy for a traffic system with the onramp. e convergence of the controller is analyzed by the Lyapunov stability analysis method
Summary
With the rapid economic development and accelerating urbanization, the number of private cars is increasing. On the problem of restraining traffic congestion, scholars have given the corresponding control scheme based on the lattice hydrodynamic model [10–14]. Based on the microscopic model, many scholars have established the traffic model of connected vehicles and explored the corresponding control scheme to keep the fleet stable [39–42]. Research studies on the control of traffic systems with on-ramp are rare, especially based on the macro hydrodynamic model. We will establish a model for connected vehicles from a macro perspective and study the impact of on-ramp on the entire traffic flow. Based on the lattice fluid dynamics model, this paper considers the characteristics of on-ramp and connected vehicles and proposes the corresponding macro model and control scheme. The convergence analysis of the on-ramp traffic system is performed, and the control gain is determined. e fourth part of the paper illustrates the effectiveness of the control scheme through numerical experiments, and we summarize the paper
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