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In match race sailing, competitors must steer their boats upwind in the presence of unpredictably evolving weather. Combined with the tacking motion necessary to make upwind progress, this makes it natural to model their path-planning as a…

最优化与控制 · 数学 2021-11-19 Cole Miles , Alexander Vladimirsky

Sailboat path-planning is a natural hybrid control problem (due to continuous steering and occasional "tack-switching" maneuvers), with the actual path-to-target greatly affected by stochastically evolving wind conditions. Previous studies…

最优化与控制 · 数学 2023-09-26 MingYi Wang , Natasha Patnaik , Anne Somalwar , Jingyi Wu , Alexander Vladimirsky

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

最优化与控制 · 数学 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

Sailing robots provide a low-cost solution to conduct the ocean missions such as marine exploration, pollution detection, and border surveillance, etc. However, compared with other propeller-driven surface vessels, sailboat suffers in…

机器人学 · 计算机科学 2018-11-30 Ziran Zhang , Yiwei Lyu , Fahad Raza , Huihuan Qian

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

机器人学 · 计算机科学 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

In this paper we study the problem of designing periodic orbits for a special class of hybrid systems, namely mechanical systems with underactuated continuous dynamics and impulse events. We approach the problem by means of optimal control.…

最优化与控制 · 数学 2017-02-16 Sara Spedicato , Giuseppe Notarstefano

We consider piecewise-deterministic optimal control problems in which the environment randomly switches among several deterministic modes, and the goal is to optimize the expected cost up to the termination while taking the likelihood of…

最优化与控制 · 数学 2015-12-31 Zhengdi Shen , Alexander Vladimirsky

We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a competition in which the goal of both players is to proceed in the…

数值分析 · 数学 2019-06-27 Simone Cacace , Roberto Ferretti , Adriano Festa

This paper provides a unified framework for the problem of controlling a fleet of ride-hailing vehicles under stochastic demand. We introduce a sequential decision-making model that consolidates several problem characteristics and can be…

最优化与控制 · 数学 2025-12-29 Stefan Pilot , Murwan Siddig

Optimization of ship routing depends on several parameters, like ship and cargo characteristics, environmental factors, topography, international navigation rules, crew comfort etc. The complex nature of the problem leads to…

数学物理 · 物理学 2009-05-04 O. T. Kosmas , D. S. Vlachos

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

系统与控制 · 计算机科学 2016-03-10 Jung-Su Ha , Han-Lim Choi

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

The optimal visiting problem is the optimization of a trajectory that has to touch or pass as close as possible to a collection of target points. The problem does not verify the dynamic programming principle, and it needs a specific…

最优化与控制 · 数学 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

This paper presents a novel synthesis method for designing an optimal and robust guidance law for a non-throttleable upper stage of a launch vehicle, using a convex approach. In the unperturbed scenario, a combination of lossless and…

最优化与控制 · 数学 2022-12-14 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo , Simone Pizzurro , Enrico Cavallini

We present a numerically tractable formulation for computing the optimal control of the class of hybrid dynamical systems whose trajectories are continuous. Our formulation, an extension of existing relaxed-control techniques for switched…

最优化与控制 · 数学 2016-05-26 Tyler Westenbroek , Humberto Gonzalez

This work addresses the problem of vehicle path planning in the presence of obstacles and uncertainties, which is a fundamental problem in robotics. While many path planning algorithms have been proposed for decades, many of them have dealt…

最优化与控制 · 数学 2018-09-11 Kazuhide Okamoto , Panagiotis Tsiotras

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

The present work investigates surrogate model-based optimization for real-time curbside traffic management operations. An optimization problem is formulated to minimize the congestion on roadway segments caused by vehicles stopping on the…

系统与控制 · 电气工程与系统科学 2023-10-09 Suyash C. Vishnoi , Michele D. Simoni

The problem of maximizing the probability of two trucks being coordinated to merge into a platoon on a highway is considered. Truck platooning is a promising technology that allows heavy vehicles to save fuel by driving with small…

系统与控制 · 计算机科学 2017-05-12 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas
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