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This paper primarily focuses on the practical applications of optimal control theory for perturbed sweeping processes within the realm of robotics dynamics. By describing these models as controlled sweeping processes with pointwise control…

Optimization and Control · Mathematics 2024-05-16 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Norma Ortiz-Robinson

Simulation and optimization are crucial for advancing the engineering design of complex systems and processes. Traditional optimization methods require substantial computational time and effort due to their reliance on resource-intensive…

Machine Learning · Computer Science 2025-08-28 Janak M. Patel , Milad Ramezankhani , Anirudh Deodhar , Dagnachew Birru

At many scales in neuroscience, appropriate mathematical models take the form of complex dynamical systems. Parametrising such models to conform to the multitude of available experimental constraints is a global nonlinear optimisation…

Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is…

Numerical Analysis · Mathematics 2023-05-16 Gerhard Kirsten , Luca Saluzzi

Deformable object manipulation is a long-standing challenge in robotics. While existing approaches often focus narrowly on a specific type of object, we seek a general-purpose algorithm, capable of manipulating many different types of…

Robotics · Computer Science 2024-05-03 Siwei Chen , Yiqing Xu , Cunjun Yu , Linfeng Li , David Hsu

This paper describes an Open Source Software (OSS) project: PythonRobotics. This is a collection of robotics algorithms implemented in the Python programming language. The focus of the project is on autonomous navigation, and the goal is…

Robotics · Computer Science 2018-09-10 Atsushi Sakai , Daniel Ingram , Joseph Dinius , Karan Chawla , Antonin Raffin , Alexis Paques

Robot motion can have many goals. Depending on the task, we might optimize for pose error, speed, collision, or similarity to a human demonstration. Motivated by this, we present PyRoki: a modular, extensible, and cross-platform toolkit for…

Robotics · Computer Science 2025-05-07 Chung Min Kim , Brent Yi , Hongsuk Choi , Yi Ma , Ken Goldberg , Angjoo Kanazawa

Soft robots can execute tasks with safer interactions. However, control techniques that can effectively exploit the systems' capabilities are still missing. Differential dynamic programming (DDP) has emerged as a promising tool for…

Mathematical models allow us to gain a deeper understanding of real-world dynamical systems. One of the most powerful mathematical frameworks for modeling real-world phenomena are systems of differential equations. In the majority of fields…

Disordered Systems and Neural Networks · Physics 2023-05-02 Richard Gast , Thomas R. Knösche , Ann Kennedy

Predicting outcomes and planning interactions with the physical world are long-standing goals for machine learning. A variety of such tasks involves continuous physical systems, which can be described by partial differential equations…

Machine Learning · Computer Science 2020-01-22 Philipp Holl , Vladlen Koltun , Nils Thuerey

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

Trajectory optimization is a powerful tool for robot motion planning and control. State-of-the-art general-purpose nonlinear programming solvers are versatile, handle constraints effectively and provide a high numerical robustness, but they…

Optimization and Control · Mathematics 2023-07-31 Lander Vanroye , Ajay Sathya , Joris De Schutter , Wilm Decré

We present PyOECP, a Python-based flexible open-source software for estimating and modeling the complex permittivity obtained from the open-ended coaxial probe (OECP) technique. The transformation of the measured reflection coefficient to…

Instrumentation and Detectors · Physics 2021-10-01 Tae Jun Yoon , Katie A. Maerzke , Robert P. Currier , Alp T. Findikoglu

Optimization methods for long-horizon, dynamically feasible motion planning in robotics tackle challenging non-convex and discontinuous optimization problems. Traditional methods often falter due to the nonlinear characteristics of these…

Robotics · Computer Science 2026-03-19 Akshay Jaitly , Siavash Farzan

We develop an online data-enabled predictive (ODeePC) control method for optimal control of unknown systems, building on the recently proposed DeePC [1]. Our proposed ODeePC method leverages a primal-dual algorithm with real-time…

Optimization and Control · Mathematics 2020-11-20 Stefanos Baros , Chin-Yao Chang , Gabriel E. Colon-Reyes , Andrey Bernstein

Mathematical modeling is a powerful tool in rheology, and we present pyRheo, an open-source package for Python designed to streamline the analysis of creep, stress relaxation, oscillation, and rotation tests. pyRheo contains a comprehensive…

Soft Condensed Matter · Physics 2024-12-23 Isaac Y. Miranda-Valdez , Aaro Niinistö , Tero Mäkinen , Juha Lejon , Juha Koivisto , Mikko J. Alava

This paper presents PyCAALP (Python-based Computer-Aided Assembly Line Planning), a framework for automated Assembly Sequence Planning (ASP) and Production Line Planning (PLP), employing a graph-based approach to model components and joints…

To enable the computation of effective randomized patrol routes for single- or multi-robot teams, we present RoSSO, a Python package designed for solving Markov chain optimization problems. We exploit machine-learning techniques such as…

Robotics · Computer Science 2025-04-10 Yohan John , Connor Hughes , Gilberto Diaz-Garcia , Jason R. Marden , Francesco Bullo

Mixed-integer convex programming (MICP) has seen significant algorithmic and hardware improvements with several orders of magnitude solve time speedups compared to 25 years ago. Despite these advances, MICP has been rarely applied to…

Robotics · Computer Science 2022-04-12 A. Cauligi , P. Culbertson , B. Stellato , D. Bertsimas , M. Schwager , M. Pavone

This paper addresses an optimal control problem for a robot that has to find and collect a finite number of objects and move them to a depot in minimum time. The robot has fourth-order dynamics that change instantaneously at any pick-up or…

Systems and Control · Computer Science 2021-01-27 Vladislav Nenchev , Christos G. Cassandras , Jörg Raisch