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In this work, we present composite Bernstein polynomials as a direct collocation method for approximating optimal control problems. An analysis of the convergence properties of composite Bernstein polynomials is provided, and beneficial…

Optimization and Control · Mathematics 2024-07-26 Gage MacLin , Venanzio Cichella , Andrew Patterson , Michael Acheson , Irene Gregory

Reinforcement learning has become an essential algorithm for generating complex robotic behaviors. However, to learn such behaviors, it is necessary to design a reward function that describes the task, which often consists of multiple…

Robotics · Computer Science 2025-01-10 Yu Ishihara , Noriaki Takasugi , Kotaro Kawakami , Masaya Kinoshita , Kazumi Aoyama

This article is devoted to the stabilization of two underactuated planar systems, the well-known straight beam-and-ball system and an original circular beam-and-ball system. The feedback control for each system is designed, using the Jordan…

Robotics · Computer Science 2010-12-01 Yannick Aoustin , Alexander Formal'skii

Platooning has been exploited as a method for vehicles to minimize energy consumption. In this article, we present a constraint-driven optimal control framework that yields emergent platooning behavior for connected and automated vehicles…

Robotics · Computer Science 2021-12-20 Logan E. Beaver , Andreas A. Malikopoulos

In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at minimizing the norm-squared of the control input to move the…

Optimization and Control · Mathematics 2007-05-23 Islam I. Hussein , Anthony M. Bloch

To appropriately select control nodes of a large-scale network system, we propose two control centralities called volumetric and average energy controllability scores. The scores are the unique solutions to convex optimization problems…

Optimization and Control · Mathematics 2024-01-30 Kazuhiro Sato , Shun Terasaki

The operation of the power grid is becoming more stressed, due to the addition of new large loads represented by Electric Vehicles (EVs) and a more intermittent supply due to the incorporation of renewable sources. As a consequence, the…

Optimization and Control · Mathematics 2016-11-15 Islam Safak Bayram , George Michailidis , Michael Devetsikiotis

Under voltage load shedding has been considered as a standard and effective measure to recover the voltage stability of the electric power grid under emergency and severe conditions. However, this scheme usually trips a massive amount of…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Thanh Long Vu , Sayak Mukherjee , Renke Huang , Qiuhua Hung

Shared control combines human intention with autonomous decision-making. At the low level, the primary goal is to maintain safety regardless of the user's input to the system. However, existing shared control methods-based on, e.g., Model…

Robotics · Computer Science 2026-03-18 Shivam Chaubey , Francesco Verdoja , Shankar Deka , Ville Kyrki

We consider the problem of grasping in clutter. While there have been motion planners developed to address this problem in recent years, these planners are mostly tailored for open-loop execution. Open-loop execution in this domain,…

Robotics · Computer Science 2018-10-10 Wisdom C. Agboh , Mehmet R. Dogar

A mixed integer maximization problem involving several additional constraints defined with both a lower and an upper bound is considered. It is assumed that one of such constraints is more restrictive than the others. As it can be seen as a…

Optimization and Control · Mathematics 2026-02-18 Christian Artigues , Pascale Bendotti , Alexandre Heintzmann , Sandra Ulrich Ngueveu , Cécile Rottner

Machine learning models are widely used for real-world applications, such as document analysis and vision. Constrained machine learning problems are problems where learned models have to both be accurate and respect constraints. For…

Machine Learning · Computer Science 2021-12-03 Guillaume Perez , Sebastian Ament , Carla Gomes , Arnaud Lallouet

Latest research in industrial robotics is aimed at making human robot collaboration possible seamlessly. For this purpose, industrial robots are expected to work on the fly in unstructured and cluttered environments and hence the subject of…

Robotics · Computer Science 2019-11-13 Indraneel Patil , B. K. Rout , V. Kalaichelvi

This paper studies the extremum seeking control (ESC) problem for a class of constrained nonlinear systems. Specifically, we focus on a family of constraints allowing to reformulate the original nonlinear system in the so-called…

Optimization and Control · Mathematics 2021-03-24 Shuai Yuan , Filippo Fabiani , Simone Baldi

Modern distributed training relies heavily on communication compression to reduce the communication overhead. In this work, we study algorithms employing a popular class of contractive compressors in order to reduce communication overhead.…

Optimization and Control · Mathematics 2023-11-13 Yuan Gao , Rustem Islamov , Sebastian Stich

Our current transportation system suffers from a number of problems in terms of safety, mobility, and environmental sustainability. The emergence of innovative intelligent transportation systems (ITS) technologies, and in particular…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Zhouqiao Zhao , Guoyuan Wu , Ziran Wang , Matthew J. Barth

Control barrier functions have been demonstrated to be a useful method of ensuring constraint satisfaction for a wide class of controllers, however existing results are mostly restricted to continuous time systems of relative degree one.…

Robotics · Computer Science 2019-03-26 Wenceslao Shaw Cortez , Denny Oetomo , Chris Manzie , Peter Choong

Autonomous ground vehicles (AGVs) are receiving increasing attention, and the motion planning and control problem for these vehicles has become a hot research topic. In real applications such as material handling, an AGV is subject to large…

Robotics · Computer Science 2021-08-24 Juncheng Li , Maopeng Ran , Lihua Xie

In this paper, we consider the problem of constraint management in Linear Periodic (LP) systems using Reference Governors (RG). First, we present the periodic-invariant maximal output admissible sets for LP systems. We extend the earlier…

Optimization and Control · Mathematics 2018-04-26 Hamid R. Ossareh

Applying reinforcement learning to robotic systems poses a number of challenging problems. A key requirement is the ability to handle continuous state and action spaces while remaining within a limited time and resource budget.…

Machine Learning · Computer Science 2020-06-29 Benjamin van Niekerk , Andreas Damianou , Benjamin Rosman