Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System

Electrically driven legged robots have become popular in recent years. However, the development of reliable energy supply systems and effective energy management strategies for legged robots with dramatically varying power requirements still needs to be explored. This article proposes a learning-bas...

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Main Authors: Boyu Shu, Zhiwu Huang, Wanwan Ren, Yue Wu, Heng Li
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/1/382
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author Boyu Shu
Zhiwu Huang
Wanwan Ren
Yue Wu
Heng Li
author_facet Boyu Shu
Zhiwu Huang
Wanwan Ren
Yue Wu
Heng Li
author_sort Boyu Shu
collection DOAJ
description Electrically driven legged robots have become popular in recent years. However, the development of reliable energy supply systems and effective energy management strategies for legged robots with dramatically varying power requirements still needs to be explored. This article proposes a learning-based model predictive control (MPC) energy management strategy for legged robots with battery–supercapacitor hybrid energy storage systems containing a power prediction unit and an MPC with learning-based adaptive weights. Firstly, the mathematical model of the legged robot is established, and a dual-layer long short-term memory network is constructed to predict the load power demand, providing the model and measurable disturbance for the MPC. Secondly, a multi-objective optimization objective function is established for the MPC-based energy management strategy. Three normalized terms, battery capacity loss, battery power fluctuation, and supercapacitor state-of-charge regulation, are balanced in the objective function. Finally, a deep learning algorithm is proposed to adaptively adjust the three weighting factors to meet the diverse operation conditions. Hardware-in-the-loop experimental implementations demonstrate that the proposed method can improve the kinematic performance of the legged robot by maintaining the supercapacitor state of charge at a relatively high level and reducing the battery capacity loss by 12.7% compared with the conventional MPC method.
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institution Kabale University
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publishDate 2025-01-01
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spelling doaj-art-282df7ea4883422985ca32260de4c7332025-01-10T13:15:22ZengMDPI AGApplied Sciences2076-34172025-01-0115138210.3390/app15010382Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage SystemBoyu Shu0Zhiwu Huang1Wanwan Ren2Yue Wu3Heng Li4School of Automation, Central South University, Changsha 410083, ChinaSchool of Automation, Central South University, Changsha 410083, ChinaSchool of Computer Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Electronic Information, Central South University, Changsha 410075, ChinaSchool of Electronic Information, Central South University, Changsha 410075, ChinaElectrically driven legged robots have become popular in recent years. However, the development of reliable energy supply systems and effective energy management strategies for legged robots with dramatically varying power requirements still needs to be explored. This article proposes a learning-based model predictive control (MPC) energy management strategy for legged robots with battery–supercapacitor hybrid energy storage systems containing a power prediction unit and an MPC with learning-based adaptive weights. Firstly, the mathematical model of the legged robot is established, and a dual-layer long short-term memory network is constructed to predict the load power demand, providing the model and measurable disturbance for the MPC. Secondly, a multi-objective optimization objective function is established for the MPC-based energy management strategy. Three normalized terms, battery capacity loss, battery power fluctuation, and supercapacitor state-of-charge regulation, are balanced in the objective function. Finally, a deep learning algorithm is proposed to adaptively adjust the three weighting factors to meet the diverse operation conditions. Hardware-in-the-loop experimental implementations demonstrate that the proposed method can improve the kinematic performance of the legged robot by maintaining the supercapacitor state of charge at a relatively high level and reducing the battery capacity loss by 12.7% compared with the conventional MPC method.https://www.mdpi.com/2076-3417/15/1/382energy management strategyelectrically driven legged robothybrid energy storage systemlearning-based model predictive control
spellingShingle Boyu Shu
Zhiwu Huang
Wanwan Ren
Yue Wu
Heng Li
Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
Applied Sciences
energy management strategy
electrically driven legged robot
hybrid energy storage system
learning-based model predictive control
title Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
title_full Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
title_fullStr Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
title_full_unstemmed Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
title_short Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System
title_sort learning based model predictive control for legged robots with battery supercapacitor hybrid energy storage system
topic energy management strategy
electrically driven legged robot
hybrid energy storage system
learning-based model predictive control
url https://www.mdpi.com/2076-3417/15/1/382
work_keys_str_mv AT boyushu learningbasedmodelpredictivecontrolforleggedrobotswithbatterysupercapacitorhybridenergystoragesystem
AT zhiwuhuang learningbasedmodelpredictivecontrolforleggedrobotswithbatterysupercapacitorhybridenergystoragesystem
AT wanwanren learningbasedmodelpredictivecontrolforleggedrobotswithbatterysupercapacitorhybridenergystoragesystem
AT yuewu learningbasedmodelpredictivecontrolforleggedrobotswithbatterysupercapacitorhybridenergystoragesystem
AT hengli learningbasedmodelpredictivecontrolforleggedrobotswithbatterysupercapacitorhybridenergystoragesystem