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The vertical trajectory optimization for the en route descent phase is studied in the presence of both along track and cross winds, which are both modeled as functions of altitude. The flight range covers some portion of a cruise segment…

Optimization and Control · Mathematics 2015-08-11 Sang Gyun Park , John-Paul Clarke

Time-optimal path planning in high winds for a turning-rate constrained UAV is a challenging problem to solve and is important for deployment and field operations. Previous works have used trochoidal path segments comprising straight and…

Robotics · Computer Science 2023-12-05 Brady Moon , Sagar Sachdev , Junbin Yuan , Sebastian Scherer

Team pursuit track cycling is a bicycle racing sport held on velodromes and is part of the Summer Olympics. It involves the use of strategies to minimize the overall time that a team of cyclists needs to complete a race. We present an…

Neural and Evolutionary Computing · Computer Science 2011-06-17 Markus Wagner , Jareth Day , Diora Jordan , Trent Kroeger , Frank Neumann

Trajectory optimization for autonomous vehicles usually relies on the kinematic bicycle model because of its computational simplicity. However, when the planned trajectory is executed under the true vehicle dynamics, which include lateral…

Robotics · Computer Science 2026-05-12 Lingxue Lyu , Zihui Liu

The motion of a vertically positioned bicycle is considered when a horizontal control force, which maybe both internal and external in relation to the bicycle, is applied to its pedal. Tangential forces of dryfriction obeying the Euler {…

Classical Physics · Physics 2021-05-04 G. M. Rozenblat , V. B. Yashin

We solve the problem concerning a time optimal return of a particle with a prescribed velocity to the origin by applying a magnitude-bounded force. The equations of controlled motion are derived and explicitly integrated, and the optimal…

Optimization and Control · Mathematics 2008-11-20 Aleksandr Koshelev

Improving a cyclist performance during a time-trial effort has been a challenge for sport scientists for several decades. There has been a lot of work on understanding the physiological concepts behind it. The concepts of Critical Power…

Optimization and Control · Mathematics 2020-07-13 Faraz Ashtiani , Vijay Sarthy M Sreedhara , Ardalan Vahidi , Randolph Hutchison , Gregory Mocko

An approach to control tethered wings for airborne wind energy is proposed. A fixed length of the lines is considered, and the aim of the control system is to obtain figure-eight crosswind trajectories. The proposed technique is based on…

Systems and Control · Computer Science 2013-08-27 Lorenzo Fagiano , Aldo U. Zgraggen , Manfred Morari , Mustafa Khammash

Power and efficiency are fundamental criteria for evaluating the performance of thermodynamic cycles. However, it is generally impossible to maximize both simultaneously. In particular, achieving maximum efficiency inevitably leads to…

Statistical Mechanics · Physics 2026-01-28 R. X. Zhai , Xin Yue , C. P. Sun

Cycling is a green transportation mode, and is promoted by many governments to mitigate traffic congestion. However, studies concerning the traffic dynamics of bicycle flow are very limited. This study experimentally investigated bicycle…

Adaptation and Self-Organizing Systems · Physics 2019-04-15 Ning Guo , Rui Jiang , SC Wong , Qing-Yi Hao , Shu-Qi Xue , Mao-Bin Hu

In the present work, control of time-optimal trajectory for a Dubins airplane in presence of moving and fixed obstacles is obtained. We show that for a Dubins airplane with an initial position, the control variable can be obtained using the…

Optimization and Control · Mathematics 2019-02-27 Z. Fathi , B. Bidabad , M. Najafpour

This paper deals with the long time behavior of the optimal solution of stochastic backward linear-quadratic optimal control problem over the finite time horizon. Both weak and strong turnpike properties are established under appropriate…

Optimization and Control · Mathematics 2023-09-08 Yuyang Chen , Peng Luo

Global return values of marine wind speed and significant wave height are estimated from very large aggregates of archived ensemble forecasts at +240-h lead time. Long lead time ensures that the forecasts represent independent draws from…

Atmospheric and Oceanic Physics · Physics 2014-07-22 Øyvind Breivik , Ole Johan Aarnes , Saleh Abdalla , Jean-Raymond Bidlot , Peter A. E. M. Janssen

Kiiking is an extreme sport in which athletes alternate between standing and squatting to pump a standing swing till it is inverted and completes a rotation. A minimal model of the sport may be cast in terms of the control of an actively…

Popular Physics · Physics 2023-08-16 Petur Bryde , Ian C. Davenport , L. Mahadevan

We investigate the unconstrained minimum energy required for vehicles to move through turbulence. We restrict our study to vehicles that interact with their environment through thrust, weight and drag forces, such as rotorcraft or…

Fluid Dynamics · Physics 2025-01-22 Scott A. Bollt , Gregory P. Bewley

Autonomous racing has seen significant advancements, driven by competitions such as the Indy Autonomous Challenge (IAC) and the Abu Dhabi Autonomous Racing League (A2RL). However, developing an autonomous racing stack for a full-scale car…

Robotics · Computer Science 2025-09-25 Mahmoud Ali , Hassan Jardali , Youwei Yu , Durgakant Pushp , Lantao Liu

We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time is an effective performance index. We show that the hybrid…

Numerical Analysis · Mathematics 2017-07-26 Roberto Ferretti , Adriano Festa

Cross-flow turbines, also known as vertical-axis turbines, have numerous features that make them attractive for wind and marine renewable energy. To maximize power output, the turbine blade kinematics may be controlled during the course of…

Fluid Dynamics · Physics 2016-05-06 Benjamin Strom , Steven L. Brunton , Brian Polagye

We study a driftless system on a three-dimensional manifold driven by two scalar controls. We assume that each scalar control has an independent bound on its modulus and we prove that, locally around every point where the controlled vector…

Optimization and Control · Mathematics 2019-11-26 M. Sigalotti

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

Economics · Quantitative Finance 2019-03-06 Larry G. Epstein , Shaolin Ji