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Model Predictive Sliding Mode Control of Highway Traffic Flow: Cooperative and Integrated Approach

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Abstract

The frequent traffic congestion on the highways has necessitated the formulation of a suitable traffic control strategy that reduces transportation time. The main objective of any highway traffic control strategy is to regulate the traffic flow in such a manner that the participating vehicles can travel as fast as possible without any congestion. To accommodate this goal and to maintain a steady stream of vehicles on the highway, this work proposes a Model Predictive based Sliding mode Cooperative and Integrated Control that produces a real-time applicable, optimal, robust, and stable control command. In this sense, the traffic control problem is reformulated as a second-order nonlinear affine state space model, and then, the resulting control signal is derived via Model Predictive based Sliding Model Control (MPSMC). The proposed method delivers better results w.r.t established strategies in terms of Total Time Spent (TTS) and computation time. Furthermore, the Utilization Cost Function has been introduced in this work, rather than TTS, and it has been applied to the optimization problem of MPSMC to better utilize the existing characteristics of the highway, which has yielded a smoother traffic flow.

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Abbreviations

MPSMC :

Model Predictive based Sliding Model Control

TTS :

Total Time Spent

HTCSs :

Highway Traffic Control Strategies

RM :

Ramp Metering

VSL :

Variable Speed Limit

LCC :

Lane Change Control

CTM :

Cell Transmission Model

SMC :

Sliding Mode Control

VMS :

Variable Message Signs

PMP :

Pontryagin Minimum Principal

TTT :

Total Travel Time

TWT :

Total Waiting Time

mAMOC :

Modified AMOC

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Authors and Affiliations

  1. Mechanical Engineering, Texas Tech University, Lubbock, TX, USA

    Seyed Soroush Tabadkani Avval & Najmeh Eghbal

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  1. Seyed Soroush Tabadkani Avval
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  2. Najmeh Eghbal
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Correspondence to Seyed Soroush Tabadkani Avval.

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Avval, S.S.T., Eghbal, N. Model Predictive Sliding Mode Control of Highway Traffic Flow: Cooperative and Integrated Approach. Int. J. ITS Res. 22, 216–228 (2024). https://doi.org/10.1007/s13177-024-00391-7

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