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A Synergistic Framework for Learning Shape Estimation and Shape-Aware Whole-Body Control Policy for Continuum Robots

Mohammadreza Kasaei, Farshid Alambeigi, Mohsen Khadem

TL;DR

The paper tackles the dual challenge of estimating the shape of soft continuum robots and controlling them in a shape-aware manner. It proposes a synergistic framework built from two Augmented Neural Ordinary Differential Equations (ANODEs): Shape-NODE for continuous shape estimation guided by Cosserat-rod priors, and Control-NODE for a shape-aware whole-body policy trained in an MPC-like fashion. The approach yields robust shape prediction, accurate trajectory tracking, and obstacle avoidance, validated through extensive simulations and real-robot experiments, outperforming end-to-end, Neural-ODE, and RNN baselines in accuracy and generalization. This work advances practical, generalizable control of soft robots in complex environments with improved interpretability thanks to the incorporated physical priors.

Abstract

In this paper, we present a novel synergistic framework for learning shape estimation and a shape-aware whole-body control policy for tendon-driven continuum robots. Our approach leverages the interaction between two Augmented Neural Ordinary Differential Equations (ANODEs) -- the Shape-NODE and Control-NODE -- to achieve continuous shape estimation and shape-aware control. The Shape-NODE integrates prior knowledge from Cosserat rod theory, allowing it to adapt and account for model mismatches, while the Control-NODE uses this shape information to optimize a whole-body control policy, trained in a Model Predictive Control (MPC) fashion. This unified framework effectively overcomes limitations of existing data-driven methods, such as poor shape awareness and challenges in capturing complex nonlinear dynamics. Extensive evaluations in both simulation and real-world environments demonstrate the framework's robust performance in shape estimation, trajectory tracking, and obstacle avoidance. The proposed method consistently outperforms state-of-the-art end-to-end, Neural-ODE, and Recurrent Neural Network (RNN) models, particularly in terms of tracking accuracy and generalization capabilities.

A Synergistic Framework for Learning Shape Estimation and Shape-Aware Whole-Body Control Policy for Continuum Robots

TL;DR

The paper tackles the dual challenge of estimating the shape of soft continuum robots and controlling them in a shape-aware manner. It proposes a synergistic framework built from two Augmented Neural Ordinary Differential Equations (ANODEs): Shape-NODE for continuous shape estimation guided by Cosserat-rod priors, and Control-NODE for a shape-aware whole-body policy trained in an MPC-like fashion. The approach yields robust shape prediction, accurate trajectory tracking, and obstacle avoidance, validated through extensive simulations and real-robot experiments, outperforming end-to-end, Neural-ODE, and RNN baselines in accuracy and generalization. This work advances practical, generalizable control of soft robots in complex environments with improved interpretability thanks to the incorporated physical priors.

Abstract

In this paper, we present a novel synergistic framework for learning shape estimation and a shape-aware whole-body control policy for tendon-driven continuum robots. Our approach leverages the interaction between two Augmented Neural Ordinary Differential Equations (ANODEs) -- the Shape-NODE and Control-NODE -- to achieve continuous shape estimation and shape-aware control. The Shape-NODE integrates prior knowledge from Cosserat rod theory, allowing it to adapt and account for model mismatches, while the Control-NODE uses this shape information to optimize a whole-body control policy, trained in a Model Predictive Control (MPC) fashion. This unified framework effectively overcomes limitations of existing data-driven methods, such as poor shape awareness and challenges in capturing complex nonlinear dynamics. Extensive evaluations in both simulation and real-world environments demonstrate the framework's robust performance in shape estimation, trajectory tracking, and obstacle avoidance. The proposed method consistently outperforms state-of-the-art end-to-end, Neural-ODE, and Recurrent Neural Network (RNN) models, particularly in terms of tracking accuracy and generalization capabilities.
Paper Structure (16 sections, 12 equations, 6 figures, 4 tables)

This paper contains 16 sections, 12 equations, 6 figures, 4 tables.

Figures (6)

  • Figure 1: Overall architecture of the proposed framework, consisting of two Augmented Neural ODEs: Shape-NODE and Control-NODE. The former is for learning a continuous shape estimation and the latter for learning a shape-aware whole-body control policy.
  • Figure 2: Representative results for the shape prediction scenario (five prediction per robot): solid lines indicate the ground truth, while the transparent lines depict the predicted shapes. The cases include (a) a single-segment robot, (b) a two-segment robot, (c) a three-segment robot, and (d) a four-segment robot.
  • Figure 3: Representative results for the trajectory tracking scenario: red dots shows the reference trajectories and colored solid lines indicate the three-segment robot: (a) circle, (b) square, (c) S-shape, and (d) elipse trajectories.
  • Figure 4: Representative results for the obstacle avoidance scenario: red dots represent the reference trajectories, green dots indicate the position of the obstacle, and colored solid lines depict the path of the three-segment robot. The scenarios include: (a) a circular trajectory below the obstacle, (b) a circular trajectory above the obstacle, (c) a square trajectory near the obstacle, and (d) a square trajectory above the obstacle.
  • Figure 5: (a) Experiment setup; (b) a snapshot showing the robot tracking the trajectory while carrying 20 grams weight.
  • ...and 1 more figures