A Data-Driven Approach to Geometric Modeling of Systems with Low-Bandwidth Actuator Dynamics

Bibliographic Details
Title: A Data-Driven Approach to Geometric Modeling of Systems with Low-Bandwidth Actuator Dynamics
Authors: Deng, Siming, Liu, Junning, Datta, Bibekananda, Pantula, Aishwarya, Gracias, David H., Nguyen, Thao D., Bittner, Brian A., Cowan, Noah J.
Publication Year: 2023
Collection: Computer Science
Subject Terms: Computer Science - Robotics, Electrical Engineering and Systems Science - Systems and Control
More Details: It is challenging to perform system identification on soft robots due to their underactuated, high-dimensional dynamics. In this work, we present a data-driven modeling framework, based on geometric mechanics (also known as gauge theory) that can be applied to systems with low-bandwidth control of the system's internal configuration. This method constructs a series of connected models comprising actuator and locomotor dynamics based on data points from stochastically perturbed, repeated behaviors. By deriving these connected models from general formulations of dissipative Lagrangian systems with symmetry, we offer a method that can be applied broadly to robots with first-order, low-pass actuator dynamics, including swelling-driven actuators used in hydrogel crawlers. These models accurately capture the dynamics of the system shape and body movements of a simplified swimming robot model. We further apply our approach to a stimulus-responsive hydrogel simulator that captures the complexity of chemo-mechanical interactions that drive shape changes in biomedically relevant micromachines. Finally, we propose an approach of numerically optimizing control signals by iteratively refining models, which is applied to optimize the input waveform for the hydrogel crawler. This transfer to realistic environments provides promise for applications in locomotor design and biomedical engineering.
Comment: 9 pages, 6 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2307.01062
Accession Number: edsarx.2307.01062
Database: arXiv
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