Abstract
A feedback control method with consideration of the next-nearest-neighbor interactions is investigated in the lattice hydrodynamic traffic model. The stability condition is obtained by discussing the first-order transfer function G 1 and the second-order transfer function G 2 . The solution of mKdV equation which describe the density wave are yielded by nonlinear analysis. Theoretical analysis result indicates that the feedback gain λ , the weight coefficient of the nearest-neighbor interaction and the next-nearest-neighbor interaction have a great impact on the improvement of the stability of traffic flow. Numerical simulations by analyzing the short-term, long-term behaviors and hysteresis loop of traffic flow verify that the impacts of the feedback gain λ , the nearest-neighbor weight and the next-nearest-neighbor weight on traffic control. The feedback control method considering the next-nearest-neighbor interactions displays the nonlocal characteristics in the implementation of local control process. • In this paper, we construct a feedback control model with consideration of the next-nearest-neighbor interactions in the lattice hydrodynamic traffic model. The stability of traffic system is discussed by introducing the first and second-order transfer function G1, G2. • In nonlinear analysis, the mKdV equation and its solution of kink–antikink wave are derived. The variation trend of the disturbance attenuation with time is discussed under control. • Numerical simulations study the short-term, long-term behaviors, hysteresis loop and nonlocal characteristics of traffic flow controlled by the next-nearest-neighbor interaction.
Published Version
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