Author: Denis Avetisyan
A new framework unifies dynamics modeling and perception, allowing tendon-driven continuum robots to ‘sense’ contact and force directly from their motor commands.

This work presents a unified multi-dynamics framework for accurate perception of interaction forces in tendon-driven continuum robots, enabling improved sim-to-real transfer and contact detection.
Despite advances in soft robotics, tendon-driven continuum robots still largely rely on external sensors for environmental perception, limiting scalability and increasing system complexity. This work introduces ‘A Unified Multi-Dynamics Framework for Perception-Oriented Modeling in Tendon-Driven Continuum Robots’-a novel approach integrating electrical, mechanical, and continuum dynamics to directly infer interaction forces from motor signals. By modeling the complete actuation chain, we demonstrate accurate, intrinsic sensing capabilities, enabling contact detection, object size estimation, and successful sim-to-real transfer of learned policies. Could this framework unlock a new era of truly self-aware and adaptable soft robots capable of nuanced interaction with complex environments?
The Inevitable Imperfection of Control
Conventional robotics frequently depends on detailed mathematical models to predict and control movement, but these models prove exceptionally challenging to create for flexible, continuum robots – those resembling invertebrates or octopus arms. Unlike rigid robots with discrete joints, continuum robots deform continuously, making it difficult to accurately represent their behavior with traditional equations. Capturing the complex interplay of bending, twisting, and stretching requires computationally expensive simulations or extensive empirical data, both of which are often impractical for real-world applications. The inherent material properties and infinite degrees of freedom contribute to this modeling difficulty, hindering the development of precise control algorithms and limiting the robot’s ability to navigate and interact with unpredictable environments. This reliance on precise models, therefore, presents a significant obstacle to the widespread adoption of this potentially versatile robotic technology.
The difficulty in creating accurate models presents a significant obstacle to deploying robots in unpredictable settings. Traditional robotic control systems depend on a detailed understanding of a robot’s mechanics and its interaction with the environment, yet these models often fall short when applied to flexible, continuum robots or dynamic real-world scenarios. This discrepancy between modeled behavior and actual performance leads to control instability and unreliable perception; a robot may misjudge distances, exert inappropriate force, or fail to adapt to unexpected obstacles. Consequently, even seemingly simple tasks become challenging without a means to compensate for these modeling inaccuracies, limiting the robot’s ability to function autonomously and reliably in complex environments like homes, hospitals, or disaster zones.
Successfully enabling robots to interact with the world demands innovative strategies that reconcile the discrepancies between simulated environments and unpredictable reality. Current control methods often falter when transferring from carefully constructed digital models to the complexities of physical contact and unforeseen disturbances. Researchers are actively investigating techniques like reinforcement learning and domain randomization, where robots are trained across a wide spectrum of simulated conditions to enhance their adaptability. Furthermore, advancements in sensor technology and data-driven modeling are allowing for the creation of ‘digital twins’ – virtual representations of physical robots that can be continuously updated with real-world data, closing the loop between simulation and actual performance. This convergence promises more robust and reliable robotic interactions, paving the way for applications in fields like surgery, exploration, and collaborative manufacturing.

A Framework for Anticipating Complexity
The presented modeling framework for tendon-driven continuum robots integrates three key dynamic systems: electrical, mechanical, and continuum. Electrical dynamics model the current and voltage relationships within the driving motors. Mechanical dynamics account for the forces and torques generated by the motors and transmitted through the tendons. Continuum dynamics describe the robot’s deformation resulting from tendon forces, utilizing Cosserat rod theory to represent the robot’s flexible structure. This integrated approach allows for a unified simulation environment where interactions between these systems are accurately represented, providing a foundation for advanced control and perception algorithms.
The Multi-Dynamics Modeling Framework demonstrates a high degree of accuracy in simulating tendon-driven continuum robot behavior. Through integrated electrical, mechanical, and continuum dynamics modeling, the framework captures the relationships between motor commands, resulting tendon forces, and subsequent robot deformation. Quantitative evaluation via simulation yields a Coefficient of Determination ($R^2$) of 0.98, indicating that 98% of the variance in observed robot behavior is explained by the model. This level of fidelity suggests the framework effectively represents the complex interplay of these systems.
Explicit modeling of electrical, mechanical, and continuum dynamics enables enhanced control and perception capabilities in tendon-driven continuum robots. Simulation results demonstrate a Mean Absolute Error (MAE) of 1.12 mm, indicating a high degree of accuracy in predicting robot pose. This level of precision facilitates more reliable state estimation and allows for the implementation of advanced control strategies, ultimately improving the robot’s ability to perform delicate or complex tasks. The framework’s ability to accurately capture the interplay between actuator commands and resulting robot deformation is critical for achieving this performance.

Sensing the Inevitable: Embracing Internal State
Intrinsic sensing enables environmental perception by directly utilizing a robot’s internal state, specifically motor current and tendon force. Rather than relying on external sensors like cameras or force/torque sensors, this method infers information about the robot’s surroundings from the signals generated during its own movements and interactions. Increases in motor current often indicate increased load or resistance, suggesting contact with an object, while changes in tendon force reflect alterations in the robot’s internal mechanical state due to external forces. By analyzing these internal signals, the robot can estimate contact locations, surface properties, and the forces it is exerting, providing a proprioceptive form of environmental awareness.
The elimination of external sensors through intrinsic sensing directly addresses limitations inherent in traditional robotic perception systems. Reliance on external sensors – such as force/torque sensors, cameras, or LiDAR – introduces potential failure points related to calibration, environmental interference, and physical damage. By deriving perceptual information solely from the robot’s internal state – specifically motor current and tendon force – the system becomes less susceptible to external disturbances and simplifies the hardware requirements. This reduction in complexity translates to lower manufacturing costs, reduced weight, and improved system reliability, as fewer components are subject to failure or require maintenance. Furthermore, the removal of external sensors avoids issues related to sensor fusion and data synchronization, streamlining the perception pipeline.
Experimental results demonstrate the reliability of contact detection using intrinsic signals derived from robot interaction. Analysis of motor current and tendon force data yielded a Mean Absolute Error (MAE) of 3.95 mm when determining contact points. This performance is further substantiated by a Coefficient of Determination ($R^2$) of 0.76, indicating a strong correlation between the predicted and actual contact locations. These metrics establish the viability of this approach for robust perception without reliance on external sensing modalities.

Inferring the Unseen: A Proprioceptive Appraisal
Researchers have demonstrated a novel approach to object size estimation, moving beyond reliance on external sensors. By employing machine learning regression models – specifically Ridge Regression, Support Vector Regression, and Gradient Boosting – the system learns to infer object dimensions directly from intrinsic signals generated during interaction. This technique utilizes data originating from within the system itself, allowing for size prediction without pre-existing knowledge of the object or the environment. The success of these models highlights the potential for creating more adaptable and self-reliant robotic systems capable of independent operation and enhanced environmental awareness. This method offers a significant step towards achieving robust and accurate perception in complex and unpredictable scenarios.
The capacity to determine an object’s dimensions solely through internal signals represents a significant advancement in robotic sensing and control. Researchers have demonstrated that regression models – including Ridge Regression, Support Vector Regression, and Gradient Boosting – can accurately estimate object size by analyzing intrinsic electrical signals generated during contact, effectively bypassing the need for external sensors like cameras or laser rangefinders. This approach relies on the correlation between an object’s physical dimensions and the characteristics of the electrical response, allowing for size prediction without any prior knowledge of the object’s shape or material properties. The implications of this technology extend to applications requiring autonomous manipulation in unstructured environments, enhanced prosthetic control, and more robust robotic interaction with the world.
A significant advancement in tactile sensing capabilities has been demonstrated through the implementation of novel signal processing techniques. By analyzing intrinsic signals, contact detection performance improved by 50% when utilizing a combination of signal slope and rise thresholds. Specifically, a threshold of 6 A/s for signal slope, coupled with a 0.8 A rise threshold, proved optimal for accurately identifying contact events. This enhanced sensitivity allows for more reliable object manipulation and interaction, as the system can discern even subtle changes in contact force without the need for external sensors or pre-programmed knowledge of object properties. The method’s success highlights the potential for creating more robust and adaptable robotic systems capable of navigating complex environments and handling delicate objects with greater precision.

The Inevitable Convergence: Toward Autonomous Resilience
Recent advancements in robotics demonstrate a shift towards designs inspired by natural systems, notably the development of continuum robots capable of navigating complex and unstructured environments. A novel approach, rigorously tested on the ‘SpiRob’ platform – a helical, magnetically steered robot – represents a significant leap in this field. This methodology enables enhanced adaptability and intelligent behavior in soft robots by integrating dynamic modeling with intrinsic sensing capabilities. SpiRob’s performance validates the framework’s ability to overcome limitations inherent in traditional rigid-bodied robots, particularly in scenarios requiring dexterity and resilience. The successful demonstration of this approach on a physical platform establishes a foundation for future innovations in areas such as minimally invasive surgery, search and rescue operations, and in-pipe inspection, ultimately bringing truly versatile and robust soft robots closer to reality.
Traditional robotics often struggles with unpredictable environments and delicate interactions due to reliance on precise, pre-programmed movements and external sensors. A novel approach integrates a multi-dynamics modeling framework – which accounts for the complex interplay of bending, twisting, and stretching within the robot’s structure – with intrinsic sensing. This means the robot utilizes sensors embedded within its body to directly measure its own shape, internal forces, and external contact. By fusing these internal measurements with the dynamics model, the system gains an unparalleled awareness of its state, allowing it to adapt to unforeseen obstacles, maintain stability, and perform tasks with greater dexterity and robustness. This self-awareness effectively circumvents the limitations of relying solely on external perception, enabling more reliable and nuanced control of continuum robots in real-world scenarios.
The progression of continuum robotics research anticipates a shift towards increasingly intricate operational scenarios. Current development prioritizes expanding the established modeling and sensing framework to navigate and manipulate objects within unstructured and dynamic environments – spaces far exceeding the controlled conditions of prior experimentation. This necessitates advancements in real-time adaptation, allowing robots to compensate for unpredictable external forces and internal material deformations. Ultimately, the goal is to achieve full autonomy, enabling these soft robots to perform complex tasks – such as search and rescue, minimally invasive surgery, or in-pipe inspection – without direct human intervention, and to reliably operate for extended periods in real-world applications.

The pursuit of a unified modeling framework, as demonstrated in this work concerning tendon-driven continuum robots, reveals a familiar truth: systems rarely conform to initial design. The authors attempt to correlate actuation with perception, striving for a direct link between motor signals and environmental interaction. This echoes a deeper principle; long stability isn’t necessarily a sign of success, but a concealment of inevitable divergence. As Blaise Pascal observed, “All of humanity’s problems stem from man’s inability to sit quietly in a room alone.” The complexity of robotic systems, much like the human condition, arises not from a lack of control, but from the inherent unpredictability woven into every interaction. The very act of modeling, therefore, isn’t about imposing order, but about anticipating the beautiful, chaotic shapes systems will inevitably evolve into.
The Long Tendon
This work, like all attempts to formalize the dance of soft bodies, offers a snapshot of a perpetually shifting landscape. The ambition – to read interaction forces directly from the whispers of motors – is not new, but the unification of dynamics presented here merely delays, rather than solves, the inevitable drift toward model inadequacy. Each refined parameter, each additional degree of freedom modeled, is a prophecy of the unforeseen perturbation that will render it moot. Technologies change, dependencies remain.
The true challenge isn’t in achieving ever-finer simulations, but in accepting the inherent ambiguity of perception in these systems. Sim-to-real transfer will always be a negotiation with error, a constant recalibration against the unpredictable. A focus on robust, adaptable algorithms – those that learn from discrepancy rather than striving for its elimination – seems a more fruitful path. Architecture isn’t structure – it’s a compromise frozen in time.
Ultimately, the field will be defined not by the complexity of its models, but by the elegance of its acceptance. These robots, driven by tendons and sensing through deformation, are not puzzles to be solved, but ecosystems to be understood. The long tendon, after all, doesn’t seek perfection – it seeks equilibrium.
Original article: https://arxiv.org/pdf/2511.18088.pdf
Contact the author: https://www.linkedin.com/in/avetisyan/
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2025-11-25 16:25