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Main Authors: Lv, Lei, Liu, Lei, Bao, Lei, Sun, Fuchun, Dong, Jiahong, Zhang, Jianwei, Shan, Xuemei, Sun, Kai, Huang, Hao, Luo, Yu
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.00354
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author Lv, Lei
Liu, Lei
Bao, Lei
Sun, Fuchun
Dong, Jiahong
Zhang, Jianwei
Shan, Xuemei
Sun, Kai
Huang, Hao
Luo, Yu
author_facet Lv, Lei
Liu, Lei
Bao, Lei
Sun, Fuchun
Dong, Jiahong
Zhang, Jianwei
Shan, Xuemei
Sun, Kai
Huang, Hao
Luo, Yu
contents Soft robots, compared to regular rigid robots, as their multiple segments with soft materials bring flexibility and compliance, have the advantages of safe interaction and dexterous operation in the environment. However, due to its characteristics of high dimensional, nonlinearity, time-varying nature, and infinite degree of freedom, it has been challenges in achieving precise and dynamic control such as trajectory tracking and position reaching. To address these challenges, we propose a framework of Deep Koopman-based Model Predictive Control (DK-MPC) for handling multi-segment soft robots. We first employ a deep learning approach with sampling data to approximate the Koopman operator, which therefore linearizes the high-dimensional nonlinear dynamics of the soft robots into a finite-dimensional linear representation. Secondly, this linearized model is utilized within a model predictive control framework to compute optimal control inputs that minimize the tracking error between the desired and actual state trajectories. The real-world experiments on the soft robot "Chordata" demonstrate that DK-MPC could achieve high-precision control, showing the potential of DK-MPC for future applications to soft robots.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00354
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-segment Soft Robot Control via Deep Koopman-based Model Predictive Control
Lv, Lei
Liu, Lei
Bao, Lei
Sun, Fuchun
Dong, Jiahong
Zhang, Jianwei
Shan, Xuemei
Sun, Kai
Huang, Hao
Luo, Yu
Robotics
Systems and Control
Soft robots, compared to regular rigid robots, as their multiple segments with soft materials bring flexibility and compliance, have the advantages of safe interaction and dexterous operation in the environment. However, due to its characteristics of high dimensional, nonlinearity, time-varying nature, and infinite degree of freedom, it has been challenges in achieving precise and dynamic control such as trajectory tracking and position reaching. To address these challenges, we propose a framework of Deep Koopman-based Model Predictive Control (DK-MPC) for handling multi-segment soft robots. We first employ a deep learning approach with sampling data to approximate the Koopman operator, which therefore linearizes the high-dimensional nonlinear dynamics of the soft robots into a finite-dimensional linear representation. Secondly, this linearized model is utilized within a model predictive control framework to compute optimal control inputs that minimize the tracking error between the desired and actual state trajectories. The real-world experiments on the soft robot "Chordata" demonstrate that DK-MPC could achieve high-precision control, showing the potential of DK-MPC for future applications to soft robots.
title Multi-segment Soft Robot Control via Deep Koopman-based Model Predictive Control
topic Robotics
Systems and Control
url https://arxiv.org/abs/2505.00354