scholarly journals A New Optimal Velocity Control Function Considering Driver’s Anticipation Effect

2015 ◽  
Author(s):  
B.G. Cao
Keyword(s):  
Control Function ◽  
Velocity Control ◽  
Optimal Velocity ◽  
Driver’S Anticipation Effect ◽  
Anticipation Effect

Model-Based Reinforcement Learning for Time-Optimal Velocity Control

2020 ◽  
Vol 5 (4) ◽  
pp. 6185-6192
Author(s):  
Gabriel Hartmann ◽  
Zvi Shiller ◽  
Amos Azaria
Keyword(s):  
Reinforcement Learning ◽  
Velocity Control ◽  
Optimal Velocity ◽  
Model Based ◽  
Time Optimal

The driver’s anticipation effect with passing in lattice model for two-lane freeway

2015 ◽  
Vol 29 (28) ◽  
pp. 1550174 ◽  
Author(s):  
Guanghan Peng
Keyword(s):  
Numerical Simulation ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Lane Changing ◽  
Traffic System ◽  
Driver’S Anticipation Effect ◽  
The Stability ◽  
Anticipation Effect ◽  
Anticipation Effects

In this paper, a new lattice model is proposed with the consideration of the driver’s anticipation effect with passing for two-lane traffic system. The linear stability condition and the mKdV equation which are correlative to the driver’s anticipation effect with passing are derived from linear stability analysis and nonlinear analysis, respectively. Numerical simulation shows that the driver’s anticipation effects with passing can efficiently enhance the stability of traffic flow under lane changing on two-lane highway.

scholarly journals Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation

2021 ◽  
Vol 31 (2) ◽  
Author(s):  
Luca Scarpa
Keyword(s):  
Phase Separation ◽  
Random Component ◽  
Optimal Controls ◽  
Convection Term ◽  
Velocity Control ◽  
Optimal Velocity ◽  
Magnetic Devices ◽  
Hilliard Equation ◽  
Backward Problem ◽  
Cahn Hilliard Equation

AbstractA Cahn–Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving fluid, and accounts for the randomness appearing at the microscopic level both in the phase-separation itself and in the flow-inducing process. The call for a random component in the convection term stems naturally from applications, as the fluid’s stirring procedure is usually caused by mechanical or magnetic devices. Well-posedness of the state system is addressed, and optimisation of a standard tracking type cost with respect to the velocity control is then studied. Existence of optimal controls is proved, and the Gâteaux–Fréchet differentiability of the control-to-state map is shown. Lastly, the corresponding adjoint backward problem is analysed, and the first-order necessary conditions for optimality are derived in terms of a variational inequality involving the intrinsic adjoint variables.

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