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In many resource-limited optimal control problems, multiple constraints may be enforced that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations. In this manuscript, we…

Optimization and Control · Mathematics 2023-11-06 Natalia Pavlasek , Sarah H. Q. Li , Behçet Açıkmeşe , Meeko Oishi , Claus Danielson

We address the risk bounded trajectory optimization problem of stochastic nonlinear robotic systems. More precisely, we consider the motion planning problem in which the robot has stochastic nonlinear dynamics and uncertain initial…

Robotics · Computer Science 2022-03-08 Weiqiao Han , Ashkan Jasour , Brian Williams

This paper addresses the challenge of accommodating nonlinear dynamics and constraints in rapid trajectory optimization, envisioned for use in the context of onboard guidance. We present a novel framework that uniquely employs…

Optimization and Control · Mathematics 2024-10-15 Ethan R. Burnett , Francesco Topputo

This paper considers a new method for the binary asteroid orbit determination problem. The method is based on the Bayesian approach with a global optimisation algorithm. The orbital parameters to be determined are modelled through an a…

Instrumentation and Methods for Astrophysics · Physics 2017-08-31 Irina D. Kovalenko , Radu S. Stoica , Nikolay V. Emelyanov

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

In this paper we present a method for automatically generating optimal robot trajectories satisfying high level mission specifications. The motion of the robot in the environment is modeled as a general transition system, enhanced with…

Robotics · Computer Science 2010-07-16 Stephen L. Smith , Jana Tumova , Calin Belta , Daniela Rus

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

The Unmanned Aerial Vehicle (UAV) path planning problem is a complex optimization problem in the field of robotics. In this paper, we investigate the possible utilization of this problem in benchmarking global optimization methods. We…

Neural and Evolutionary Computing · Computer Science 2025-01-27 Mhd Ali Shehadeh , Jakub Kudela

Motion planning is a critical component of intelligent unmanned systems, enabling their complex autonomous operations. However, current planning algorithms still face limitations in planning efficiency due to inflexible strategies and weak…

Robotics · Computer Science 2026-03-04 Yinghao Zhao , Chenguang Dai , Liang Lyu , Zhenchao Zhang , Chaozhen Lan , Hong Xie

Low-thrust trajectories play a crucial role in optimizing scientific output and cost efficiency in asteroid belt missions. Unlike high-thrust transfers, low-thrust trajectories require solving complex optimal control problems. This…

Earth and Planetary Astrophysics · Physics 2024-05-30 Giacomo Acciarini , Laurent Beauregard , Dario Izzo

Gradient-based trajectory optimization (GTO) has gained wide popularity for quadrotor trajectory replanning. However, it suffers from local minima, which is not only fatal to safety but also unfavorable for smooth navigation. In this paper,…

Robotics · Computer Science 2020-04-17 Boyu Zhou , Fei Gao , Jie Pan , Shaojie Shen

This paper presents an integrated approach that combines trajectory optimization and Artificial Potential Field (APF) method for real-time optimal Unmanned Aerial Vehicle (UAV) trajectory planning and dynamic collision avoidance. A…

Robotics · Computer Science 2023-03-06 D. M. K. K. Venkateswara Rao , Hamed Habibi , Jose Luis Sanchez-Lopez , Holger Voos

In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered. It is supposed that the function…

Optimization and Control · Mathematics 2015-09-14 Daniela Lera , Yaroslav D. Sergeyev

With much research has been conducted into trajectory planning for quadrotors, planning with spatial and temporal optimal trajectories in real-time is still challenging. In this paper, we propose a framework for generating large-scale…

Robotics · Computer Science 2020-02-26 Zhepei Wang , Xin Zhou , Chao Xu , Jian Chu , Fei Gao

To realize autonomous shipping, autonomous berthing and unberthing are some of the technical challenges. In the past, numerous research have been done on the optimization of trajectory planning of berthing problems. However, these studies…

Optimization and Control · Mathematics 2022-01-14 Yoshiki Miyauchi , Ryohei Sawada , Youhei Akimoto , Naoya Umeda , Atsuo Maki

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

This paper proposes an advanced hybrid optimization (GMPA) algorithm to effectively address the inherent limitations of the Grey Wolf Optimizer (GWO) when applied to complex optimization scenarios. Specifically, GMPA integrates essential…

Neural and Evolutionary Computing · Computer Science 2025-05-20 Amin Abdollahi Dehkordi , Mehdi Neshat

Satellite mission planning for Earth observation satellites is a combinatorial optimization problem that consists of selecting the optimal subset of imaging requests, subject to constraints, to be fulfilled during an orbit pass of a…

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

This paper presents a new method for integrated time-optimal routing and trajectory optimization of multirotor unmanned aerial vehicles (UAVs). Our approach extends the well-known Traveling Salesman Problem by accounting for the limited…

Robotics · Computer Science 2022-12-01 Fabian Meyer , Katharina Glock
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