Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles

In this paper, electro-hydraulic braking (EHB) force allocation for electric vehicles (EVs) is modeled as a constrained nonlinear optimization problem (NOP). Recurrent neural networks (RNNs) are advantageous in many folds for solving NOPs, yet existing RNNs’ convergence usually requires convexity wi...

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Main Authors: Jiapeng Yan, Huifang Kong, Zhihong Man
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/24/9486
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author Jiapeng Yan
Huifang Kong
Zhihong Man
author_facet Jiapeng Yan
Huifang Kong
Zhihong Man
author_sort Jiapeng Yan
collection DOAJ
description In this paper, electro-hydraulic braking (EHB) force allocation for electric vehicles (EVs) is modeled as a constrained nonlinear optimization problem (NOP). Recurrent neural networks (RNNs) are advantageous in many folds for solving NOPs, yet existing RNNs’ convergence usually requires convexity with calculation of second-order partial derivatives. In this paper, a recurrent neural network-based NOP solver (RNN-NOPS) is developed. It is seen that the RNN-NOPS is designed to drive all state variables to asymptotically converge to the feasible region, with loose requirement on the NOP’s first-order partial derivative. In addition, the RNN-NOPS’s equilibria are proved to meet Karush–Kuhn–Tucker (KKT) conditions, and the RNN-NOPS behaves with a strong robustness against the violation of the constraints. The comparative studies are conducted to show RNN-NOPS’s advantages for solving the EHB force allocation problem, it is reported that the overall regenerative energy of RNN-NOPS is 15.39% more than that of the method for comparison under SC03 cycle.
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spelling doaj.art-0999fc7874b649d5bc4c2f46a34a790e2023-11-24T14:37:50ZengMDPI AGEnergies1996-10732022-12-011524948610.3390/en15249486Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric VehiclesJiapeng Yan0Huifang Kong1Zhihong Man2School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaSchool of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaSchool of Software and Electrical Engineering, Faculty of Science, Engineering and Technology, Swinburne University of Technology, Melbourne, VIC 3122, AustraliaIn this paper, electro-hydraulic braking (EHB) force allocation for electric vehicles (EVs) is modeled as a constrained nonlinear optimization problem (NOP). Recurrent neural networks (RNNs) are advantageous in many folds for solving NOPs, yet existing RNNs’ convergence usually requires convexity with calculation of second-order partial derivatives. In this paper, a recurrent neural network-based NOP solver (RNN-NOPS) is developed. It is seen that the RNN-NOPS is designed to drive all state variables to asymptotically converge to the feasible region, with loose requirement on the NOP’s first-order partial derivative. In addition, the RNN-NOPS’s equilibria are proved to meet Karush–Kuhn–Tucker (KKT) conditions, and the RNN-NOPS behaves with a strong robustness against the violation of the constraints. The comparative studies are conducted to show RNN-NOPS’s advantages for solving the EHB force allocation problem, it is reported that the overall regenerative energy of RNN-NOPS is 15.39% more than that of the method for comparison under SC03 cycle.https://www.mdpi.com/1996-1073/15/24/9486recurrent neural network (RNN)nonlinear optimization problems (NOP)electric vehicle (EV)electro-hydraulic braking (EHB)asymptotical convergence
spellingShingle Jiapeng Yan
Huifang Kong
Zhihong Man
Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
Energies
recurrent neural network (RNN)
nonlinear optimization problems (NOP)
electric vehicle (EV)
electro-hydraulic braking (EHB)
asymptotical convergence
title Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
title_full Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
title_fullStr Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
title_full_unstemmed Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
title_short Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles
title_sort recurrent neural network based nonlinear optimization for braking control of electric vehicles
topic recurrent neural network (RNN)
nonlinear optimization problems (NOP)
electric vehicle (EV)
electro-hydraulic braking (EHB)
asymptotical convergence
url https://www.mdpi.com/1996-1073/15/24/9486
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AT huifangkong recurrentneuralnetworkbasednonlinearoptimizationforbrakingcontrolofelectricvehicles
AT zhihongman recurrentneuralnetworkbasednonlinearoptimizationforbrakingcontrolofelectricvehicles