Soft Robots Modeling: a Structured Overview
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Abstract (arXiv)
The robotics community has seen an exponential growth in the level of complexity of the theoretical tools presented for the modeling of soft robotics devices. Different solutions have been presented to overcome the difficulties related to the modeling of soft robots, often leveraging on other scientific disciplines, such as continuum mechanics, computational mechanics and computer graphics. These theoretical and computational foundations are often taken for granted and this leads to an intricate literature that, consequently, has rarely been the subject of a complete review. For the first time, we present here a structured overview of all the approaches proposed so far to model soft robots. The chosen classification, which is based on their theoretical and numerical grounds, allows us to provide a critical analysis about their uses and applicability. This will enable robotics researchers to learn the basics of these modeling techniques and their associated numerical methods, but also to have a critical perspective on their uses.
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). First posted on arXiv 7 Dec 2021.
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Citing papers per year: 2023: 1; 2024: 4; 2025: 8; 2026: 6.
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- 2024Controlling diverse robots by inferring Jacobian fields with deep networkscited by 10
- 2023Neural Autoencoder-Based Structure-Preserving Model Order Reduction and Control Design for High-Dimensional Physical Systemscited by 7
- 2024Input-to-State Stable Coupled Oscillator Networks for Closed-form Model-based Control in Latent Spacecited by 7
- 2024Learning Low-Dimensional Strain Models of Soft Robots by Looking at the Evolution of Their Shape with Application to Model-Based Controlcited by 3
- 2025Generalizable and Fast Surrogates: Model Predictive Control of Articulated Soft Robots using Physics-Informed Neural Networkscited by 3
- 2025Adaptive Model-Predictive Control of a Soft Continuum Robot Using a Physics-Informed Neural Network Based on Cosserat Rod Theorycited by 3
- 2024Multi-modal perception for soft robotic interactions using generative modelscited by 2
- 2025Domain Translation of a Soft Robotic Arm using Conditional Cycle Generative Adversarial Networkcited by 1
- 2025Bridging Embodiment Gaps: Deploying Vision-Language-Action Models on Soft Robotscited by 1
- 2026ManiSoft: Towards Vision-Language Manipulation for Soft Continuum Roboticscited by 1
- 2025Soft Robotics for Search and Rescue: Advancements, Challenges, and Future Directionscited by 0
- 2025Deformable Linear Object Surface Placement Using Elastica Planning and Local Shape Controlcited by 0
7 more
- 2025Data-driven Kinematic Modeling in Soft Robots: System Identification and Uncertainty Quantificationcited by 0
- 2025Zero-shot Whole-Body Manipulation with a Large-Scale Soft Robotic Torso via Guided Reinforcement Learningcited by 0
- 2026Frequency-aware decomposition learning for sensorless wrench estimation in vibration-rich robotic contactcited by 0
- 2026Reinforcement learning in linear embedding space unlocks generalizable control across soft robot configurationscited by 0
- 2026SoRoMoX: Fast, Differentiable, and Parallelizable Soft Robot Modelscited by 0
- 2026Constraint-Aware Physics-Informed Neural Networks for Static Shape Estimation of Co-Manipulative Continuum Robotscited by 0
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robotscited by 0
- 2026History-Conditioned Flow Matching for Probabilistic Dynamics of Tendon-Driven Continuum Robots22 Sep 2026
- 2026Constraint-Aware Physics-Informed Neural Networks for Static Shape Estimation of Co-Manipulative Continuum Robots26 Aug 2026
- 2026SoRoMoX: Fast, Differentiable, and Parallelizable Soft Robot Models6 Aug 2026
- 2026Reinforcement learning in linear embedding space unlocks generalizable control across soft robot configurations6 Jun 2026
- 2026ManiSoft: Towards Vision-Language Manipulation for Soft Continuum Robotics18 May 2026
- 2026Frequency-aware decomposition learning for sensorless wrench estimation in vibration-rich robotic contact14 Apr 2026
- 2025Bridging Embodiment Gaps: Deploying Vision-Language-Action Models on Soft Robots20 Oct 2025
- 2025Zero-shot Whole-Body Manipulation with a Large-Scale Soft Robotic Torso via Guided Reinforcement Learning28 Sep 2025
- 2025Adaptive Model-Predictive Control of a Soft Continuum Robot Using a Physics-Informed Neural Network Based on Cosserat Rod Theory18 Aug 2025
- 2025Domain Translation of a Soft Robotic Arm using Conditional Cycle Generative Adversarial Network16 Aug 2025
- 2025Data-driven Kinematic Modeling in Soft Robots: System Identification and Uncertainty Quantification10 Jul 2025
- 2025Deformable Linear Object Surface Placement Using Elastica Planning and Local Shape Control11 Mar 2025
7 more
- 2025Soft Robotics for Search and Rescue: Advancements, Challenges, and Future Directions17 Feb 2025
- 2025Generalizable and Fast Surrogates: Model Predictive Control of Articulated Soft Robots using Physics-Informed Neural Networks4 Feb 2025
- 2024Learning Low-Dimensional Strain Models of Soft Robots by Looking at the Evolution of Their Shape with Application to Model-Based Control31 Oct 2024
- 2024Input-to-State Stable Coupled Oscillator Networks for Closed-form Model-based Control in Latent Space13 Sep 2024
- 2024Controlling diverse robots by inferring Jacobian fields with deep networks11 Jul 2024
- 2024Multi-modal perception for soft robotic interactions using generative models5 Apr 2024
- 2023Neural Autoencoder-Based Structure-Preserving Model Order Reduction and Control Design for High-Dimensional Physical Systems11 Dec 2023
- 2024Controlling diverse robots by inferring Jacobian fields with deep networkscited by 10
- 2023Neural Autoencoder-Based Structure-Preserving Model Order Reduction and Control Design for High-Dimensional Physical Systemscited by 7
- 2024Input-to-State Stable Coupled Oscillator Networks for Closed-form Model-based Control in Latent Spacecited by 7
- 2024Learning Low-Dimensional Strain Models of Soft Robots by Looking at the Evolution of Their Shape with Application to Model-Based Controlcited by 3
- 2025Generalizable and Fast Surrogates: Model Predictive Control of Articulated Soft Robots using Physics-Informed Neural Networkscited by 3
- 2025Adaptive Model-Predictive Control of a Soft Continuum Robot Using a Physics-Informed Neural Network Based on Cosserat Rod Theorycited by 3
- 2024Multi-modal perception for soft robotic interactions using generative modelscited by 2
- 2025Domain Translation of a Soft Robotic Arm using Conditional Cycle Generative Adversarial Networkcited by 1
- 2026ManiSoft: Towards Vision-Language Manipulation for Soft Continuum Roboticscited by 1
- 2025Soft Robotics for Search and Rescue: Advancements, Challenges, and Future Directionscited by 0
- 2025Deformable Linear Object Surface Placement Using Elastica Planning and Local Shape Controlcited by 0
- 2025Data-driven Kinematic Modeling in Soft Robots: System Identification and Uncertainty Quantificationcited by 0
12 most cited of 15 All 15 (JSON)
- 2026Constraint-Aware Physics-Informed Neural Networks for Static Shape Estimation of Co-Manipulative Continuum Robots26 Aug 2026
- 2026SoRoMoX: Fast, Differentiable, and Parallelizable Soft Robot Models6 Aug 2026
- 2026ManiSoft: Towards Vision-Language Manipulation for Soft Continuum Robotics18 May 2026
- 2026Frequency-aware decomposition learning for sensorless wrench estimation in vibration-rich robotic contact14 Apr 2026
- 2025Adaptive Model-Predictive Control of a Soft Continuum Robot Using a Physics-Informed Neural Network Based on Cosserat Rod Theory18 Aug 2025
- 2025Domain Translation of a Soft Robotic Arm using Conditional Cycle Generative Adversarial Network16 Aug 2025
- 2025Data-driven Kinematic Modeling in Soft Robots: System Identification and Uncertainty Quantification10 Jul 2025
- 2025Deformable Linear Object Surface Placement Using Elastica Planning and Local Shape Control11 Mar 2025
- 2025Soft Robotics for Search and Rescue: Advancements, Challenges, and Future Directions17 Feb 2025
- 2025Generalizable and Fast Surrogates: Model Predictive Control of Articulated Soft Robots using Physics-Informed Neural Networks4 Feb 2025
- 2024Learning Low-Dimensional Strain Models of Soft Robots by Looking at the Evolution of Their Shape with Application to Model-Based Control31 Oct 2024
- 2024Input-to-State Stable Coupled Oscillator Networks for Closed-form Model-based Control in Latent Space13 Sep 2024
12 newest of 15 All 15 (JSON)