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This article presents a motion planning and control framework for flexible robotic manipulators, integrating deep reinforcement learning (DRL) with a nonlinear partial differential equation (PDE) controller. Unlike conventional approaches…

Robotics · Computer Science 2025-06-11 Amir Hossein Barjini , Seyed Adel Alizadeh Kolagar , Sadeq Yaqubi , Jouni Mattila

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

Numerical Analysis · Mathematics 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

Control of soft robotic manipulators remains a challenge for designs with advanced capabilities and novel actuation. Two significant limitations are multi-axis, three-dimensional motion of soft bodies alongside actuator dynamics and…

Robotics · Computer Science 2024-10-28 Zach J. Patterson , Andrew P. Sabelhaus , Carmel Majidi

Data-driven model reduction methods provide a nonintrusive way of constructing computationally efficient surrogates of high-fidelity models for real-time control of soft robots. This work leverages the Lagrangian nature of the model…

Robotics · Computer Science 2024-07-15 Harsh Sharma , Iman Adibnazari , Jacobo Cervera-Torralba , Michael T. Tolley , Boris Kramer

This paper proposes a general approach to design automatic controls to manipulate elastic objects into desired shapes. The object's geometric model is defined as the shape feature based on the specific task to globally describe the…

Robotics · Computer Science 2021-01-07 Wanyu Ma , Jihong Zhu , David Navarro-Alarcon

Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.…

Fluid Dynamics · Physics 2021-04-28 Nicola Fonzi , Steven L. Brunton , Urban Fasel

Controlling systems with complex, nonlinear dynamics poses a significant challenge, particularly in achieving efficient and robust control. In this paper, we propose a Dyna-Style Reinforcement Learning control framework that integrates…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Karim Abdelsalam , Zeyad Gamal , Ayman El-Badawy

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)…

Piecewise-linear nonlinear systems appear in many engineering disciplines. Prediction of the dynamic behavior of such systems is of great importance from practical and theoretical viewpoint. In this paper, a data-driven model order…

Dynamical Systems · Mathematics 2026-03-19 Akira Saito , Masato Tanaka

Structural damage detection using non-contact sensing remains a challenging problem in structural health monitoring. This study presents a data-driven framework based on Dynamic Mode Decomposition (DMD) for extracting structural dynamics…

Systems and Control · Electrical Eng. & Systems 2026-05-05 R K B M Rizmi , Shabbir Ahmed

Control strategy for suppression of spiral-wave in a 2-D model of an excitable media is developed with application to the cardiac system. The controller which incorporates a finite number of actuators (electrodes) assures the establishment…

Optimization and Control · Mathematics 2014-10-03 Yelena Smagina , Moshe Sheintuch

We present SoftSMPL, a learning-based method to model realistic soft-tissue dynamics as a function of body shape and motion. Datasets to learn such task are scarce and expensive to generate, which makes training models prone to overfitting.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Igor Santesteban , Elena Garces , Miguel A. Otaduy , Dan Casas

Finding interpretable biomechanical models can provide insight into the functionality of organs with regard to physiology and disease. However, identifying broadly applicable dynamical models for in vivo tissue remains challenging. In this…

In this paper, we propose a novel vision-based control algorithm for regulating the whole body shape of extensible multisection soft continuum manipulators. Contrary to existing vision-based control algorithms in the literature that…

Robotics · Computer Science 2026-02-24 Abhinav Gandhi , Shou-Shan Chiang , Cagdas D. Onal , Berk Calli

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

Growing demands in the semiconductor industry necessitate increasingly stringent requirements on throughput and positioning accuracy of lithographic equipment. Meeting these demands involves employing highly aggressive motion profiles,…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Yorick Broens , Hans Butler , Ramidin Kamidi , Koen Verkerk , Siep Weiland

Soft robots are made of compliant materials and perform tasks that are challenging for rigid robots. However, their continuum nature makes it difficult to develop model-based control strategies. This work presents a robust model-based…

A data-efficient learning-based control design method is proposed in this paper. It is based on learning a system dynamics model that is then leveraged in a two-level procedure. On the higher level, a simple but powerful optimization…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Ludvig Svedlund , Constantin Cronrath , Jonas Fredriksson , Bengt Lennartson

This paper presents an integrated model-free data-driven approach to solid mechanics, allowing to perform numerical simulations on structures on the basis of measures of displacement fields on representative samples, without postulating a…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Laurent Stainier , Adrien Leygue , Michael Ortiz

This paper presents an alternate form for the dynamic modelling of a mechanical system that simulates in real life a gantry crane type, using Euler's classical mechanics and Lagrange formalism, which allows find the equations of motion that…

Chaotic Dynamics · Physics 2017-06-07 P. A. Ospina-Henao , Framsol Lopez-Suspes