A Data-Efficient Model-Based Learning Framework for the Closed-Loop Control of Continuum Robots
Xinran Wang,
Nicolas Rojas
Abstract:Traditional dynamic models of continuum robots are in general computationally expensive and not suitable for real-time control. Recent approaches using learning-based methods to approximate the dynamic model of continuum robots for control have been promising, although real data hungry-which may cause potential damage to robots and be time consuming-and getting poorer performance when trained with simulation data only. This paper presents a modelbased learning framework for continuum robot closed-loop control … Show more
“…These models tend to be valid only in a neighborhood around the equilibrium point where the system has been linearized (14). Controllers based on ROM models have been applied to soft robots in the past, but these have yet to achieve the real-time control of fast, inertial motions (17)(18)(19).…”
Section: Introductionmentioning
confidence: 99%
“…In the ML modeling of soft robot dynamical behaviors, many neural net-based approaches exist. Most of this work focuses on the development of predictors using neural nets such as long short-term memory (20,21) or recurrent neural networks (17,19). These methodologies generate highly accurate predictors of the dynamics.…”
Soft robots promise improved safety and capability over rigid robots when deployed near humans or in complex, delicate, and dynamic environments. However, infinite degrees of freedom and the potential for highly nonlinear dynamics severely complicate their modeling and control. Analytical and machine learning methodologies have been applied to model soft robots but with constraints: quasi-static motions, quasi-linear deflections, or both. Here, we advance the modeling and control of soft robots into the inertial, nonlinear regime. We controlled motions of a soft, continuum arm with velocities 10 times larger and accelerations 40 times larger than those of previous work and did so for high-deflection shapes with more than 110° of curvature. We leveraged a data-driven learning approach for modeling, based on Koopman operator theory, and we introduce the concept of the static Koopman operator as a pregain term in optimal control. Our approach is rapid, requiring less than 5 min of training; is computationally low cost, requiring as little as 0.5 s to build the model; and is design agnostic, learning and accurately controlling two morphologically different soft robots. This work advances rapid modeling and control for soft robots from the realm of quasi-static to inertial, laying the groundwork for the next generation of compliant and highly dynamic robots.
“…These models tend to be valid only in a neighborhood around the equilibrium point where the system has been linearized (14). Controllers based on ROM models have been applied to soft robots in the past, but these have yet to achieve the real-time control of fast, inertial motions (17)(18)(19).…”
Section: Introductionmentioning
confidence: 99%
“…In the ML modeling of soft robot dynamical behaviors, many neural net-based approaches exist. Most of this work focuses on the development of predictors using neural nets such as long short-term memory (20,21) or recurrent neural networks (17,19). These methodologies generate highly accurate predictors of the dynamics.…”
Soft robots promise improved safety and capability over rigid robots when deployed near humans or in complex, delicate, and dynamic environments. However, infinite degrees of freedom and the potential for highly nonlinear dynamics severely complicate their modeling and control. Analytical and machine learning methodologies have been applied to model soft robots but with constraints: quasi-static motions, quasi-linear deflections, or both. Here, we advance the modeling and control of soft robots into the inertial, nonlinear regime. We controlled motions of a soft, continuum arm with velocities 10 times larger and accelerations 40 times larger than those of previous work and did so for high-deflection shapes with more than 110° of curvature. We leveraged a data-driven learning approach for modeling, based on Koopman operator theory, and we introduce the concept of the static Koopman operator as a pregain term in optimal control. Our approach is rapid, requiring less than 5 min of training; is computationally low cost, requiring as little as 0.5 s to build the model; and is design agnostic, learning and accurately controlling two morphologically different soft robots. This work advances rapid modeling and control for soft robots from the realm of quasi-static to inertial, laying the groundwork for the next generation of compliant and highly dynamic robots.
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