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Main Authors: Honji, Sumitaka, Wada, Takahiro
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.01065
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author Honji, Sumitaka
Wada, Takahiro
author_facet Honji, Sumitaka
Wada, Takahiro
contents The inherent flexibility of soft robots offers numerous advantages, such as enhanced adaptability and improved safety. However, this flexibility can also introduce challenges regarding highly uncertain and nonlinear motion. These challenges become particularly problematic when using open-loop control methods, which lack a feedback mechanism and are commonly employed in soft robot control. Though one potential solution is model-based control, typical deterministic models struggle with uncertainty as mentioned above. The idea is to use the Fokker-Planck Equation (FPE), a master equation of a stochastic process, to control not the state of soft robots but the probabilistic distribution. In this study, we propose and implement a stochastic-based control strategy, termed FPE-based Model Predictive Control (FPE-MPC), for a soft robotic finger. Two numerical simulation case studies examine the performance and characteristics of this control method, revealing its efficacy in managing the uncertainty inherent in soft robotic systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01065
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Model Predictive Control for a Soft Robotic Finger with Stochastic Behavior based on Fokker-Planck Equation
Honji, Sumitaka
Wada, Takahiro
Robotics
The inherent flexibility of soft robots offers numerous advantages, such as enhanced adaptability and improved safety. However, this flexibility can also introduce challenges regarding highly uncertain and nonlinear motion. These challenges become particularly problematic when using open-loop control methods, which lack a feedback mechanism and are commonly employed in soft robot control. Though one potential solution is model-based control, typical deterministic models struggle with uncertainty as mentioned above. The idea is to use the Fokker-Planck Equation (FPE), a master equation of a stochastic process, to control not the state of soft robots but the probabilistic distribution. In this study, we propose and implement a stochastic-based control strategy, termed FPE-based Model Predictive Control (FPE-MPC), for a soft robotic finger. Two numerical simulation case studies examine the performance and characteristics of this control method, revealing its efficacy in managing the uncertainty inherent in soft robotic systems.
title Model Predictive Control for a Soft Robotic Finger with Stochastic Behavior based on Fokker-Planck Equation
topic Robotics
url https://arxiv.org/abs/2509.01065