A global optimal solution to the eco-driving problem

G.P. Padilla Cazar; S. Weiland; M.C.F. Donkers

doi:10.1109/LCSYS.2018.2846182

A global optimal solution to the eco-driving problem

G.P. Padilla Cazar, S. Weiland, M.C.F. Donkers

Research output: Contribution to journal › Article › Academic › peer-review

30 Citations (Scopus)

349 Downloads (Pure)

Abstract

Eco-driving aims at minimizing the energy consumption of a vehicle by adjusting the vehicle’s velocity. This can be formulated as an optimal control
problem and this letter provides a detailed view on the global optimal solution to this problem. A method to reformulate and discretize the problem avoiding the introduction of additional nonconvex terms is presented. Furthermore, physically realistic conditions are given that guarantee the existence of the global optimal solution to the eco-driving problem. Subsequently, a sequential quadratic programming algorithm is provided that allows finding the global optimal solution. Finally, two numerical examples are used to illustrate how solutions of the eco-driving problem can be obtained.

Original language	English
Pages (from-to)	599 - 604
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	2
Issue number	4
DOIs	https://doi.org/10.1109/LCSYS.2018.2846182
Publication status	Published - Oct 2018

Keywords

Automotive control
Optimal control
Optimization
Eco-driving
energy management
optimization
optimal control

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1109/LCSYS.2018.2846182

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Cite this

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title = "A global optimal solution to the eco-driving problem",

abstract = "Eco-driving aims at minimizing the energy consumption of a vehicle by adjusting the vehicle{\textquoteright}s velocity. This can be formulated as an optimal controlproblem and this letter provides a detailed view on the global optimal solution to this problem. A method to reformulate and discretize the problem avoiding the introduction of additional nonconvex terms is presented. Furthermore, physically realistic conditions are given that guarantee the existence of the global optimal solution to the eco-driving problem. Subsequently, a sequential quadratic programming algorithm is provided that allows finding the global optimal solution. Finally, two numerical examples are used to illustrate how solutions of the eco-driving problem can be obtained.",

keywords = "Automotive control, Optimal control, Optimization, Eco-driving, energy management, optimization, optimal control",

author = "{Padilla Cazar}, G.P. and S. Weiland and M.C.F. Donkers",

year = "2018",

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AU - Padilla Cazar, G.P.

AU - Weiland, S.

AU - Donkers, M.C.F.

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N2 - Eco-driving aims at minimizing the energy consumption of a vehicle by adjusting the vehicle’s velocity. This can be formulated as an optimal controlproblem and this letter provides a detailed view on the global optimal solution to this problem. A method to reformulate and discretize the problem avoiding the introduction of additional nonconvex terms is presented. Furthermore, physically realistic conditions are given that guarantee the existence of the global optimal solution to the eco-driving problem. Subsequently, a sequential quadratic programming algorithm is provided that allows finding the global optimal solution. Finally, two numerical examples are used to illustrate how solutions of the eco-driving problem can be obtained.

AB - Eco-driving aims at minimizing the energy consumption of a vehicle by adjusting the vehicle’s velocity. This can be formulated as an optimal controlproblem and this letter provides a detailed view on the global optimal solution to this problem. A method to reformulate and discretize the problem avoiding the introduction of additional nonconvex terms is presented. Furthermore, physically realistic conditions are given that guarantee the existence of the global optimal solution to the eco-driving problem. Subsequently, a sequential quadratic programming algorithm is provided that allows finding the global optimal solution. Finally, two numerical examples are used to illustrate how solutions of the eco-driving problem can be obtained.

KW - Automotive control

KW - Optimal control

KW - Optimization

KW - Eco-driving

KW - energy management

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

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A global optimal solution to the eco-driving problem

Abstract

Keywords

UN SDGs

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A global optimal solution to the eco-driving problem

Abstract

Keywords

UN SDGs

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