Control Chaos of a Unidirectionally Traffic Coupled Map Lattice Model

Yaling Fang

doi:10.4236/jamp.2021.910162

Abstract

Spatiotemporal chaos is studied by using the unidirectional traffic coupled lattice model with hyperbolic tangent local map. The coupled map lattice (CML) model can simulate the complex traffic flow phenomenon which is similar to the traditional traffic flow model. The nonlinear feedback method is used to study the control of the chaotic system of the unidirectionally traffic coupled map lattice model. The stability of spatiotemporal chaos in the coupled map lattice is realized. The results of numerical simulation show that there is a relationship between control results and control parameters when controlling spatiotemporal chaos to a uniform stable state in a certain phase space compression parameter region.

Highlights

The problem of heavy traffic has aroused a wide concern [1] [2]
The aim of the present work is to prove that the chaotic features of the traffic unidirectionally coupled map lattice model are studied and its spacio-temporal characteristic is analyzed, which reflects the characteristics of traffic flow
We model a unidirectionally one-way coupled map lattice (CML) which has a large coupling coefficient greater than one because CML demonstrates the confusion caused by its structure and closely relates to traffic flow model

Summary

Introduction

The problem of heavy traffic has aroused a wide concern [1] [2]. There is always no obvious reason for traffic jams that every driver experiences. The OGY method [11] for controlling spatiotemporal chaos of logistic maps is proposed. Pinning is another way to control spatiotemporal time chaos in CMLs [12]. The OGY method and its improvement methods all perform time perturbation feedback on the parameters of the system and achieve the purpose of controlling some unstable periodic orbits This requires finding a suitable system parameter for perturbation adjustment. The aim of the present work is to prove that the chaotic features of the traffic unidirectionally coupled map lattice model are studied and its spacio-temporal characteristic is analyzed, which reflects the characteristics of traffic flow. A discrete-time controller for controlling spatiotemporal chaos of one way CMLs is introduced

The Unidirectionally Traffic Coupled Map Lattice Model

Controlling Spatiotemporal Chaos to the Homogeneous State

The Stability Analysis of CML

Realization of Spatiotemporal Chaos Control

Conclusion