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Many industries extensively use flexible materials. Effective approaches for handling flexible objects with a robot manipulator must address residual vibrations. Existing solutions rely on complex models, use additional instrumentation for…

Robotics · Computer Science 2022-11-22 Daniele Ronzani , Shamil Mamedov , Jan Swevers

Soft robots have been leveraged in considerable areas like surgery, rehabilitation, and bionics due to their softness, flexibility, and safety. However, it is challenging to produce two same soft robots even with the same mold and…

Robotics · Computer Science 2025-07-18 Zixi Chen , Xuyang Ren , Matteo Bernabei , Vanessa Mainardi , Gastone Ciuti , Cesare Stefanini

Purpose of review: We review recent advances in algorithmic development and validation for modeling and control of soft robots leveraging the Koopman operator theory. Recent findings: We identify the following trends in recent research…

Robotics · Computer Science 2023-02-09 Lu Shi , Zhichao Liu , Konstantinos Karydis

This paper develops a method to learn optimal controls from data for bilinear systems without a priori knowledge of the system dynamics. Given an unknown bilinear system, we first characterize when the available data is suitable to solve…

Optimization and Control · Mathematics 2023-10-13 Zhenyi Yuan , Jorge Cortes

We develop the max-plus finite element method to solve finite horizon deterministic optimal control problems. This method, that we introduced in a previous work, relies on a max-plus variational formulation, and exploits the properties of…

Optimization and Control · Mathematics 2016-11-18 Marianne Akian , Stephane Gaubert , Asma Lakhoua

This paper presents a new control approach for guaranteed safety (remaining in a safe set) subject to actuator constraints (the control is in a convex polytope). The control signals are computed using real-time optimization, including…

Systems and Control · Electrical Eng. & Systems 2023-10-13 Pedram Rabiee , Jesse B. Hoagg

This paper presents two new control approaches for guaranteed safety (remaining in a safe set) subject to actuator constraints (the control is in a convex polytope). The control signals are computed using real-time optimization, including…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Pedram Rabiee , Jesse B. Hoagg

In this paper we present a finite element method for the direct transcription of constrained non-linear optimal control problems. We prove that our method converges of high order under mild assumptions. Our analysis uses a regularized…

Numerical Analysis · Mathematics 2017-12-22 Martin Peter Neuenhofen

Rigid-bodied robots often lack compliance needed to adapt to unstructured environments, while fully soft robots, though highly adaptable, struggle with scalability and load capacity. In nature, musculoskeletal systems balance strength and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Hiroki Kobayashi , Yuki Takaha , Changyoung Yuhn , Yuki Sato , Sunao Tomita , Atsushi Kawamoto , Tsuyoshi Nomura

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

Materials Science · Physics 2009-12-08 Damien Durville

This paper presents a robust control scheme for flexible link robotic manipulators, which is based on considering the flexible mechanical structure as a system with slow (rigid) and fast (flexible) modes that can be controlled separately.…

Robotics · Computer Science 2007-05-23 Victor Etxebarria , Arantza Sanz , Ibone Lizarraga

A new, and extremely fast, computational modeling paradigm is introduced here for specific finite elasticity problems that arise in the context of soft robotics. Whereas continuum mechanics is a very classical area of study, and significant…

Robotics · Computer Science 2022-02-21 Xu Yi , Gregory S. Chirikjian

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

Optimization and Control · Mathematics 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

We present a novel method for global motion planning of robotic systems that interact with the environment through contacts. Our method directly handles the hybrid nature of such tasks using tools from convex optimization. We formulate the…

We present a computational design system that assists users to model, optimize, and fabricate quad-robots with soft skins.Our system addresses the challenging task of predicting their physical behavior by fully integrating the multibody…

Graphics · Computer Science 2019-07-02 Xudong Feng , Jiafeng Liu , Huamin Wang , Yin Yang , Hujun Bao , Bernd Bickel , Weiwei Xu

Continuum and soft robots can transform diverse sectors, including healthcare, agriculture, marine, and space, thanks to their potential to adaptively interact with unstructured environments. These robots exhibit complex mechanics that pose…

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

Optimization and Control · Mathematics 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

Mobile robots have received a great deal of research in recent years. A significant amount of research has been published in many aspects related to mobile robots. Most of the research is devoted to design and develop some control…

Robotics · Computer Science 2007-05-23 A. Albagul , Wahyudi

In this paper we present a reformulation--framed as a constrained optimization problem--of multi-robot tasks which are encoded through a cost function that is to be minimized. The advantages of this approach are multiple. The…

Robotics · Computer Science 2019-09-04 Gennaro Notomista , Magnus Egerstedt

We investigate optimal reachability and grasping problems for a planar soft manipulator, from both a theoretical and numerical point of view. The underlying control model describes the evolution of the symmetry axis of the device, which is…

Optimization and Control · Mathematics 2020-02-14 Simone Cacace , Anna Chiara Lai , Paola Loreti