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This paper presents a new deep learning-based framework for robust nonlinear estimation and control using the concept of a Neural Contraction Metric (NCM). The NCM uses a deep long short-term memory recurrent neural network for a global…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

Intrinsically elastic robots surpass their rigid counterparts in a range of different characteristics. By temporarily storing potential energy and subsequently converting it to kinetic energy, elastic robots are capable of highly dynamic…

Soft robot serial chain manipulators with the capability for growth, stiffness control, and discrete joints have the potential to approach the dexterity of traditional robot arms, while improving safety, lowering cost, and providing an…

We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the domain is obtained by moving the level-set along a velocity…

Numerical Analysis · Mathematics 2019-02-05 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

Despite the success of model predictive control (MPC), its application to high-dimensional systems, such as flexible structures and coupled fluid/rigid-body systems, remains a largely open challenge due to excessive computational…

Systems and Control · Computer Science 2019-05-03 Joseph Lorenzetti , Benoit Landry , Sumeet Singh , Marco Pavone

We investigate energy-optimal control of robots with ultracapacitor based regenerative drive systems. Based on a previously introduced framework, a fairly generic model is considered for the robot and the drive system. An optimal control…

Systems and Control · Computer Science 2018-04-03 Poya Khalaf , Hanz Richter

We present efficient reduced basis (RB) methods for the simulation of the coupled problem consisting of a rigid robot hand interacting with soft tissue material which is modeled by the linear elasticity equation and discretized with the…

Numerical Analysis · Mathematics 2021-06-08 Shahnewaz Shuva , Patrick Buchfink , Oliver Röhrle , Bernard Haasdonk

Linear models for control and motion generation of humanoid robots have received significant attention in the past years, not only due to their well known theoretical guarantees, but also because of practical computational advantages.…

Robotics · Computer Science 2016-08-01 Brahayam Ponton , Alexander Herzog , Stefan Schaal , Ludovic Righetti

Soft robots have the potential to interact with sensitive environments and perform complex tasks effectively. However, motion plans and trajectories for soft manipulators are challenging to calculate due to their deformable nature and…

Robotics · Computer Science 2024-12-12 Akua Dickson , Juan C. Pacheco Garcia , Ran Jing , Meredith L. Anderson , Andrew P. Sabelhaus

Soft robotic manipulators provide numerous advantages over conventional rigid manipulators in fragile environments such as the marine environment. However, developing analytic inverse models necessary for shape, motion, and force control of…

Robotics · Computer Science 2022-11-15 Abdelrahman Alkhodary , Berke Gur

To obtain fast solutions for governing physical equations in solid mechanics, we introduce a method that integrates the core ideas of the finite element method with physics-informed neural networks and concept of neural operators. This…

Force modulation of robotic manipulators has been extensively studied for several decades. However, it is not yet commonly used in safety-critical applications due to a lack of accurate interaction contact modeling and weak performance…

Robotics · Computer Science 2023-06-13 Lasitha Wijayarathne , Ziyi Zhou , Ye Zhao , Frank L. Hammond

This paper introduces a novel approach for modeling the dynamics of soft robots, utilizing a differentiable filter architecture. The proposed approach enables end-to-end training to learn system dynamics, noise characteristics, and temporal…

Robotics · Computer Science 2023-08-22 Xiao Liu , Shuhei Ikemoto , Yuhei Yoshimitsu , Heni Ben Amor

In this paper, we study integrated estimation and control of soft robots. A significant challenge in deploying closed loop controllers is reliable proprioception via integrated sensing in soft robots. Despite the considerable advances…

Robotics · Computer Science 2020-11-18 Lasitha Weerakoon , Zepeng Ye , Rahul Subramonian Bama , Elisabeth Smela , Miao Yu , Nikhil Chopra

We consider the problem of stochastic optimal control in the presence of an unknown disturbance. We characterize the disturbance via empirical characteristic functions, and employ a chance constrained approach. By exploiting properties of…

Optimization and Control · Mathematics 2020-12-16 Vignesh Sivaramakrishnan , Meeko M. K. Oishi

Dynamic motions are a key feature of robotic arms, enabling them to perform tasks quickly and efficiently. Soft continuum manipulators do not currently consider dynamic parameters when operating in task space. This shortcoming makes…

Robotics · Computer Science 2022-10-19 Oliver Fischer , Yasunori Toshimitsu , Amirhossein Kazemipour , Robert K. Katzschmann

Model-based control is a popular paradigm for robot navigation because it can leverage a known dynamics model to efficiently plan robust robot trajectories. However, it is challenging to use model-based methods in settings where the…

Robotics · Computer Science 2019-07-19 Somil Bansal , Varun Tolani , Saurabh Gupta , Jitendra Malik , Claire Tomlin

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

It is well-known that inverse dynamics models can improve tracking performance in robot control. These models need to precisely capture the robot dynamics, which consist of well-understood components, e.g., rigid body dynamics, and effects…

Robotics · Computer Science 2022-05-30 Moritz Reuss , Niels van Duijkeren , Robert Krug , Philipp Becker , Vaisakh Shaj , Gerhard Neumann

Since the 1960's the finite element method emerged as a powerful tool for the numerical simulation of countless physical phenomena or processes in applied sciences. One of the reasons for this undeniable success is the great versatility of…

Numerical Analysis · Mathematics 2018-12-05 Vitoriano Ruas