Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model

FANG Ya-ling; SHI Zhong-ke

doi:10.3879/j.issn.1000-0887.2015.05.003

Volume 36 Issue 5

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FANG Ya-ling, SHI Zhong-ke. Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model[J]. Applied Mathematics and Mechanics, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003

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Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model

doi: 10.3879/j.issn.1000-0887.2015.05.003

School of Automation, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China(Key Program)（61134004）

Received Date: 2014-09-30
Rev Recd Date: 2015-03-21
Publish Date: 2015-05-15

Abstract

Abstract

A new method for controlling the macro discrete traffic flow model was presented in the automated freeway system. The non-linear model of traffic flow was transformed to an easily tractable linear system model with the precise state feedback linearization method, and the design of the traffic density controller was simplified. For the linearized system model, the control law was designed according to the feedback tracking control strategy with input transformation, to stabilize the dynamic property of the system. Then the system state variables were controlled to indirectly stabilize the traffic flow density and further alleviate the traffic congestion. The controller designing procedure was also given. The simulation results show that the control method is effective and practicable.
- urban traffic,
- congestion control,
- feedback linearization,
- freeway discrete model,
- differential geometry theory

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References(13)

References

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