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Pontryagin’s Minimum Principle based model predictive control of energy management for a plug-in hybrid electric bus

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Cited by:

  1. Guo, Ningyuan & Zhang, Xudong & Zou, Yuan & Guo, Lingxiong & Du, Guodong, 2021. "Real-time predictive energy management of plug-in hybrid electric vehicles for coordination of fuel economy and battery degradation," Energy, Elsevier, vol. 214(C).
  2. Hong, Xianqian & Wu, Jinglai & Zhang, Nong & Wang, Bing, 2022. "Energy efficiency optimization of Simpson planetary gearset based dual-motor powertrains for electric vehicles," Energy, Elsevier, vol. 259(C).
  3. Lei, Zhenzhen & Qin, Datong & Hou, Liliang & Peng, Jingyu & Liu, Yonggang & Chen, Zheng, 2020. "An adaptive equivalent consumption minimization strategy for plug-in hybrid electric vehicles based on traffic information," Energy, Elsevier, vol. 190(C).
  4. Han, Jie & Liu, Wenxue & Zheng, Yusheng & Khalatbarisoltani, Arash & Yang, Yalian & Hu, Xiaosong, 2023. "Health-conscious predictive energy management strategy with hybrid speed predictor for plug-in hybrid electric vehicles: Investigating the impact of battery electro-thermal-aging models," Applied Energy, Elsevier, vol. 352(C).
  5. Han, Jie & Cui, Hanghang & Khalatbarisoltani, Arash & Yang, Jun & Liu, Congzhi & Hu, Xiaosong, 2025. "Traffic-aware hierarchical eco-driving approach for connected hybrid electric vehicles at signalized intersections," Energy, Elsevier, vol. 334(C).
  6. Xiao, B. & Ruan, J. & Yang, W. & Walker, P.D. & Zhang, N., 2021. "A review of pivotal energy management strategies for extended range electric vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
  7. Gao, Sichen & Zong, Yuhua & Ju, Fei & Wang, Qun & Huo, Weiwei & Wang, Liangmo & Wang, Tao, 2024. "Scenario-oriented adaptive ECMS using speed prediction for fuel cell vehicles in real-world driving," Energy, Elsevier, vol. 304(C).
  8. Jinning Zhang & Ioannis Roumeliotis & Argyrios Zolotas, 2022. "Sustainable Aviation Electrification: A Comprehensive Review of Electric Propulsion System Architectures, Energy Management, and Control," Sustainability, MDPI, vol. 14(10), pages 1-30, May.
  9. Chen, Jiayu & Xu, Zhenhui & Shen, Tielong, 2025. "Traffic prediction-based long-term energy management approach incorporating engine transient control for HEVs," Energy, Elsevier, vol. 320(C).
  10. Wang, Weida & Guo, Xinghua & Yang, Chao & Zhang, Yuanbo & Zhao, Yulong & Huang, Denggao & Xiang, Changle, 2022. "A multi-objective optimization energy management strategy for power split HEV based on velocity prediction," Energy, Elsevier, vol. 238(PA).
  11. Hou, Jun & Song, Ziyou, 2020. "A hierarchical energy management strategy for hybrid energy storage via vehicle-to-cloud connectivity," Applied Energy, Elsevier, vol. 257(C).
  12. Zhou, Yu & Ong, Ghim Ping & Meng, Qiang, 2023. "The road to electrification: Bus fleet replacement strategies," Applied Energy, Elsevier, vol. 337(C).
  13. Du, Guodong & Zou, Yuan & Zhang, Xudong & Liu, Teng & Wu, Jinlong & He, Dingbo, 2020. "Deep reinforcement learning based energy management for a hybrid electric vehicle," Energy, Elsevier, vol. 201(C).
  14. Lin, Xinyou & Zeng, Songrong & Li, Xuefan, 2021. "Online correction predictive energy management strategy using the Q-learning based swarm optimization with fuzzy neural network," Energy, Elsevier, vol. 223(C).
  15. Xiaodong Liu & Hongqiang Guo & Xingqun Cheng & Juan Du & Jian Ma, 2022. "A Robust Design of the Model-Free-Adaptive-Control-Based Energy Management for Plug-In Hybrid Electric Vehicle," Energies, MDPI, vol. 15(20), pages 1-24, October.
  16. Xiangyang Xu & Kun Guo & Xuewu Liu & Hongzhong Qi & Peng Dong & Shuhan Wang & Wei Guo, 2022. "Optimal Design of Power-On Downshift Control of Series-Parallel Hybrid Transmission Based on Motor Active Speed Regulation," Energies, MDPI, vol. 15(17), pages 1-18, August.
  17. Song, Ke & Wang, Xiaodi & Li, Feiqiang & Sorrentino, Marco & Zheng, Bailin, 2020. "Pontryagin’s minimum principle-based real-time energy management strategy for fuel cell hybrid electric vehicle considering both fuel economy and power source durability," Energy, Elsevier, vol. 205(C).
  18. Geng, Wenran & Lou, Diming & Wang, Chen & Zhang, Tong, 2020. "A cascaded energy management optimization method of multimode power-split hybrid electric vehicles," Energy, Elsevier, vol. 199(C).
  19. Li, Xin & Wang, Tianqi & Xu, Weihan & Li, Huaiyue & Yuan, Yun, 2022. "A novel model and algorithm for designing an eco-oriented demand responsive transit (DRT) system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
  20. Zhao, Mingjie & Shi, Junhui & Lin, Cheng, 2019. "Optimization of integrated energy management for a dual-motor coaxial coupling propulsion electric city bus," Applied Energy, Elsevier, vol. 243(C), pages 21-34.
  21. Xie, Shaobo & Hu, Xiaosong & Qi, Shanwei & Tang, Xiaolin & Lang, Kun & Xin, Zongke & Brighton, James, 2019. "Model predictive energy management for plug-in hybrid electric vehicles considering optimal battery depth of discharge," Energy, Elsevier, vol. 173(C), pages 667-678.
  22. Yaqian Wang & Xiaohong Jiao, 2022. "Dual Heuristic Dynamic Programming Based Energy Management Control for Hybrid Electric Vehicles," Energies, MDPI, vol. 15(9), pages 1-19, April.
  23. Quan, Shengwei & Wang, Ya-Xiong & Xiao, Xuelian & He, Hongwen & Sun, Fengchun, 2021. "Real-time energy management for fuel cell electric vehicle using speed prediction-based model predictive control considering performance degradation," Applied Energy, Elsevier, vol. 304(C).
  24. Cui, Wei & Cui, Naxin & Li, Tao & Cui, Zhongrui & Du, Yi & Zhang, Chenghui, 2022. "An efficient multi-objective hierarchical energy management strategy for plug-in hybrid electric vehicle in connected scenario," Energy, Elsevier, vol. 257(C).
  25. Jia, Chunchun & Li, Kunang & He, Hongwen & Zhou, Jiaming & Li, Jianwei & Wei, Zhongbao, 2023. "Health-aware energy management strategy for fuel cell hybrid bus considering air-conditioning control based on TD3 algorithm," Energy, Elsevier, vol. 283(C).
  26. Salari, Azam & Zeinali, Mahdi & Marzband, Mousa, 2024. "Model-free reinforcement learning-based energy management for plug-in electric vehicles in a cooperative multi-agent home microgrid with consideration of travel behavior," Energy, Elsevier, vol. 288(C).
  27. Zhou, Jianhao & Xue, Yuan & Xu, Da & Li, Chaoxiong & Zhao, Wanzhong, 2022. "Self-learning energy management strategy for hybrid electric vehicle via curiosity-inspired asynchronous deep reinforcement learning," Energy, Elsevier, vol. 242(C).
  28. Yang Liu & Bing Zeng & Kejun Long & Wei Wu, 2024. "Enhancing Electric Bus Charging Scheduling: An Energy-Integrated Dynamic Bus Replacement Strategy with Time-of-Use Pricing," Sustainability, MDPI, vol. 16(8), pages 1-19, April.
  29. Hongzhe Li & Jinsong Kang & Cheng Li, 2024. "Energy Management Strategy Based on Reinforcement Learning and Frequency Decoupling for Fuel Cell Hybrid Powertrain," Energies, MDPI, vol. 17(8), pages 1-21, April.
  30. Zhang, Yuxin & Yang, Yalian & Zou, Yunge & Liu, Changdong, 2024. "Design of optimal control strategy for range extended electric vehicles considering additional noise, vibration and harshness constraints," Energy, Elsevier, vol. 310(C).
  31. Peng, Jiankun & Shen, Yang & Wu, ChangCheng & Wang, Chunhai & Yi, Fengyan & Ma, Chunye, 2023. "Research on energy-saving driving control of hydrogen fuel bus based on deep reinforcement learning in freeway ramp weaving area," Energy, Elsevier, vol. 285(C).
  32. Penghui Qiang & Peng Wu & Tao Pan & Huaiquan Zang, 2021. "Real-Time Approximate Equivalent Consumption Minimization Strategy Based on the Single-Shaft Parallel Hybrid Powertrain," Energies, MDPI, vol. 14(23), pages 1-22, November.
  33. Hou, Daizheng & Sun, Qun & Bao, Chunjiang & Cheng, Xingqun & Guo, Hongqiang & Zhao, Ying, 2019. "An all-in-one design method for plug-in hybrid electric buses considering uncertain factor of driving cycles," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
  34. Zhang, Fengqi & Xiao, Lehua & Coskun, Serdar & Pang, Hui & Xie, Shaobo & Liu, Kailong & Cui, Yahui, 2023. "Comparative study of energy management in parallel hybrid electric vehicles considering battery ageing," Energy, Elsevier, vol. 264(C).
  35. Qi, Chunyang & Zhu, Yiwen & Song, Chuanxue & Yan, Guangfu & Xiao, Feng & Da wang, & Zhang, Xu & Cao, Jingwei & Song, Shixin, 2022. "Hierarchical reinforcement learning based energy management strategy for hybrid electric vehicle," Energy, Elsevier, vol. 238(PA).
  36. Shangguan, Jinyong & Guo, Hongqiang & Yue, Ming, 2020. "Robust energy management of plug-in hybrid electric bus considering the uncertainties of driving cycles and vehicle mass," Energy, Elsevier, vol. 203(C).
  37. Zhou, Hongxu & Yu, Zhongwei & Wu, Xiaohua & Fan, Zhanfeng & Yin, Xiaofeng & Zhou, Lingxue, 2023. "Dynamic programming improved online fuzzy power distribution in a demonstration fuel cell hybrid bus," Energy, Elsevier, vol. 284(C).
  38. Zhou, Quan & Du, Changqing & Yan, Yunbing, 2024. "A multi-layer predictive energy management strategy for intelligent hybrid electric trucks collaborated with eco-driving control," Energy, Elsevier, vol. 308(C).
  39. Ma, Xiaokang & Liu, Hui & Han, Lijin & Yang, Ningkang & Li, Mingyi, 2025. "An real-time intelligent energy management based on deep reinforcement learning and model predictive control for hybrid electric vehicles considering battery life," Energy, Elsevier, vol. 324(C).
  40. Anselma, Pier Giuseppe, 2022. "Computationally efficient evaluation of fuel and electrical energy economy of plug-in hybrid electric vehicles with smooth driving constraints," Applied Energy, Elsevier, vol. 307(C).
  41. Du, Guodong & Zou, Yuan & Zhang, Xudong & Guo, Lingxiong & Guo, Ningyuan, 2022. "Energy management for a hybrid electric vehicle based on prioritized deep reinforcement learning framework," Energy, Elsevier, vol. 241(C).
  42. Lin, Xinyou & Huang, Hao & Xu, Xinhao & Xie, Liping, 2024. "Dynamic programming solutions extracted SOC-trajectory online learning generation algorithm based approximate global optimization control strategy for a fuel cell hybrid electric vehicle," Energy, Elsevier, vol. 295(C).
  43. Zhang, Shuo & Hu, Xiaosong & Xie, Shaobo & Song, Ziyou & Hu, Lin & Hou, Cong, 2019. "Adaptively coordinated optimization of battery aging and energy management in plug-in hybrid electric buses," Applied Energy, Elsevier, vol. 256(C).
  44. Ziye Wang & Ren He & Donghai Hu & Dagang Lu, 2025. "Energy Management Strategy for Fuel Cell Vehicles Based on Deep Transfer Reinforcement Learning," Energies, MDPI, vol. 18(9), pages 1-18, April.
  45. Sánchez, Marcelino & Delprat, Sébastien & Hofman, Theo, 2020. "Energy management of hybrid vehicles with state constraints: A penalty and implicit Hamiltonian minimization approach," Applied Energy, Elsevier, vol. 260(C).
  46. Guo, Hongqiang & Hou, Daizheng & Du, Shangye & Zhao, Ling & Wu, Jian & Yan, Ning, 2020. "A driving pattern recognition-based energy management for plug-in hybrid electric bus to counter the noise of stochastic vehicle mass," Energy, Elsevier, vol. 198(C).
  47. Ritter, Andreas & Widmer, Fabio & Duhr, Pol & Onder, Christopher H., 2022. "Long-term stochastic model predictive control for the energy management of hybrid electric vehicles using Pontryagin’s minimum principle and scenario-based optimization," Applied Energy, Elsevier, vol. 322(C).
  48. Piras, M. & De Bellis, V. & Malfi, E. & Novella, R. & Lopez-Juarez, M., 2024. "Hydrogen consumption and durability assessment of fuel cell vehicles in realistic driving," Applied Energy, Elsevier, vol. 358(C).
  49. Dong, Zhe & Huang, Xiaojin & Dong, Yujie & Zhang, Zuoyi, 2020. "Multilayer perception based reinforcement learning supervisory control of energy systems with application to a nuclear steam supply system," Applied Energy, Elsevier, vol. 259(C).
  50. Alessia Musa & Pier Giuseppe Anselma & Giovanni Belingardi & Daniela Anna Misul, 2023. "Energy Management in Hybrid Electric Vehicles: A Q-Learning Solution for Enhanced Drivability and Energy Efficiency," Energies, MDPI, vol. 17(1), pages 1-20, December.
  51. Wang, Jinhai & Du, Changqing & Yan, Fuwu & Hua, Min & Gongye, Xiangyu & Yuan, Quan & Xu, Hongming & Zhou, Quan, 2025. "Bayesian optimization for hyper-parameter tuning of an improved twin delayed deep deterministic policy gradients based energy management strategy for plug-in hybrid electric vehicles," Applied Energy, Elsevier, vol. 381(C).
  52. Jure Soldo & Branimir Škugor & Joško Deur, 2021. "Online Synthesis of an Optimal Battery State-of-Charge Reference Trajectory for a Plug-in Hybrid Electric City Bus," Energies, MDPI, vol. 14(11), pages 1-24, May.
  53. Guo, Lingxiong & Zhang, Xudong & Zou, Yuan & Guo, Ningyuan & Li, Jianwei & Du, Guodong, 2021. "Cost-optimal energy management strategy for plug-in hybrid electric vehicles with variable horizon speed prediction and adaptive state-of-charge reference," Energy, Elsevier, vol. 232(C).
  54. Tri Cuong Do & Hoai Vu Anh Truong & Hoang Vu Dao & Cong Minh Ho & Xuan Dinh To & Tri Dung Dang & Kyoung Kwan Ahn, 2019. "Energy Management Strategy of a PEM Fuel Cell Excavator with a Supercapacitor/Battery Hybrid Power Source," Energies, MDPI, vol. 12(22), pages 1-24, November.
  55. Liu, Yonggang & Wu, Yitao & Wang, Xiangyu & Li, Liang & Zhang, Yuanjian & Chen, Zheng, 2023. "Energy management for hybrid electric vehicles based on imitation reinforcement learning," Energy, Elsevier, vol. 263(PC).
  56. Dong, Peng & Zhao, Junwei & Liu, Xuewu & Wu, Jian & Xu, Xiangyang & Liu, Yanfang & Wang, Shuhan & Guo, Wei, 2022. "Practical application of energy management strategy for hybrid electric vehicles based on intelligent and connected technologies: Development stages, challenges, and future trends," Renewable and Sustainable Energy Reviews, Elsevier, vol. 170(C).
  57. Lei, Nuo & Zhang, Hao & Hu, Jingjing & Hu, Zunyan & Wang, Zhi, 2025. "Sim-to-real design and development of reinforcement learning-based energy management strategies for fuel cell electric vehicles," Applied Energy, Elsevier, vol. 393(C).
  58. Benaitier, Alexis & Krainer, Ferdinand & Jakubek, Stefan & Hametner, Christoph, 2023. "Optimal energy management of hybrid electric vehicles considering pollutant emissions during transient operations," Applied Energy, Elsevier, vol. 344(C).
  59. Zhang, Yaoyuan & Wu, Haoqing & Mi, Shijie & He, Zhuoyao & Qian, Yong & Lu, Xingcai, 2024. "Optimization of intelligent charge compression ignition engine in hybrid electric powertrain by adaptive equivalent consumption management strategy," Energy, Elsevier, vol. 307(C).
  60. Liu, Hanwu & Lei, Yulong & Sun, Wencai & Chang, Cheng & Jiang, Wei & Liu, Yuwei & Hu, Jianlong, 2024. "Research on approximate optimal energy management and multi-objective optimization of connected automated range-extended electric vehicle," Energy, Elsevier, vol. 306(C).
  61. Lin, Xinyou & Xia, Yutian & Huang, Wei & Li, Hailin, 2021. "Trip distance adaptive power prediction control strategy optimization for a Plug-in Fuel Cell Electric Vehicle," Energy, Elsevier, vol. 224(C).
  62. Yu, Jin & Song, Yurun & Zhang, Huasen & Dong, Xiaohan, 2022. "Novel design of compound coupled hydro-mechanical transmission on heavy-duty vehicle for energy recycling," Energy, Elsevier, vol. 239(PD).
  63. Liu, Huimin & Lin, Cheng & Yu, Xiao & Tao, Zhenyi & Xu, Jiaqi, 2024. "Variable horizon multivariate driving pattern recognition framework based on vehicle-road two-dimensional information for electric vehicle," Applied Energy, Elsevier, vol. 365(C).
  64. Zhang, Haoxiang & Wang, Feng & Xu, Bing & Fiebig, Wieslaw, 2022. "Extending battery lifetime for electric wheel loaders with electric-hydraulic hybrid powertrain," Energy, Elsevier, vol. 261(PB).
  65. Manzolli, Jônatas Augusto & Trovão, João Pedro & Antunes, Carlos Henggeler, 2022. "A review of electric bus vehicles research topics – Methods and trends," Renewable and Sustainable Energy Reviews, Elsevier, vol. 159(C).
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  68. Qi, Chunyang & Song, Chuanxue & Xiao, Feng & Song, Shixin, 2022. "Generalization ability of hybrid electric vehicle energy management strategy based on reinforcement learning method," Energy, Elsevier, vol. 250(C).
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  71. Changqing Du & Shiyang Huang & Yuyao Jiang & Dongmei Wu & Yang Li, 2022. "Optimization of Energy Management Strategy for Fuel Cell Hybrid Electric Vehicles Based on Dynamic Programming," Energies, MDPI, vol. 15(12), pages 1-25, June.
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  73. Li, Yapeng & Wang, Feng & Tang, Xiaolin & Hu, Xiaosong & Lin, Xianke, 2022. "Convex optimization-based predictive and bi-level energy management for plug-in hybrid electric vehicles," Energy, Elsevier, vol. 257(C).
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  75. Zhou, Yang & Ravey, Alexandre & Péra, Marie-Cecile, 2020. "Multi-mode predictive energy management for fuel cell hybrid electric vehicles using Markov driving pattern recognizer," Applied Energy, Elsevier, vol. 258(C).
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  78. Peng, Hujun & Chen, Zhu & Li, Jianxiang & Deng, Kai & Dirkes, Steffen & Gottschalk, Jonas & Ünlübayir, Cem & Thul, Andreas & Löwenstein, Lars & Pischinger, Stefan & Hameyer, Kay, 2021. "Offline optimal energy management strategies considering high dynamics in batteries and constraints on fuel cell system power rate: From analytical derivation to validation on test bench," Applied Energy, Elsevier, vol. 282(PA).
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  85. Liu, Haoran & Yu, Jiaqi & Wang, Ruzhu, 2022. "Model predictive control of portable electronic devices under skin temperature constraints," Energy, Elsevier, vol. 260(C).
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