Feasibility analysis of using the hp-adaptive Radau pseudospectral method for minimum-effort collision-free docking operations of AUV

AM Yazdani, K Sammut, OA Yakimenko… - Robotics and …, 2020 - Elsevier
This paper continues the previous effort on the development of a trajectory generation
platform that assures minimum-control expenditure and collision-free manoeuvre of a …

Piecewise Sundman transformation for spacecraft trajectory optimization using many embedded Lambert problems

D Ottesen, RP Russell - Journal of Spacecraft and Rockets, 2022 - arc.aiaa.org
Direct optimization of many-revolution spacecraft trajectories requires path discretization into
segments. The well-known Sundman transformation guides the development of a piecewise …

Safe-trajectory optimization and tracking control in ultra-close proximity to a failed satellite

J Zhang, X Chu, Y Zhang, Q Hu, G Zhai, Y Li - Acta Astronautica, 2018 - Elsevier
This paper presents a trajectory-optimization method for a chaser spacecraft operating in
ultra-close proximity to a failed satellite. Based on the combination of active and passive …

An effective pseudospectral optimization approach with sparse variable time nodes for maximum production of chemical engineering problems

L **ao, X Liu - The Canadian Journal of Chemical Engineering, 2017 - Wiley Online Library
An effective pseudospectral method is proposed for dynamic optimization problems, the aim
of which is to maximize production of these problems in chemical engineering. Several …

Fourier-Gegenbauer pseudospectral method for solving periodic higher-order fractional optimal control problems

KT Elgindy - arxiv preprint arxiv:2305.00458, 2023 - arxiv.org
In [1], we inaugurated a new area of optimal control (OC) theory that we called" periodic
fractional OC theory," which was developed to find optimal ways to periodically control a …

A virtual motion camouflage approach for cooperative trajectory planning of multiple UCAVs

X Gu, L Shen, J Chen, Y Zhang… - … Problems in Engineering, 2014 - Wiley Online Library
This paper investigates cooperative trajectory planning of multiple unmanned combat aerial
vehicles (multi‐UCAV) in performing autonomous cooperative air‐to‐ground target attack …

[PDF][PDF] A piecewise-constant sundman transformation for spacecraft trajectory optimization

D Ottesen, RP Russell - AAS/AIAA Astrodynamics Specialist …, 2018 - researchgate.net
A piecewise-constant Sundman transformation is introduced for a spacecraft trajectory
discretized into many segments. The piecewise-constant Sundman transformation is a …

[LIBRO][B] Spacecraft trajectory optimization using many embedded Lambert problems

DR Ottesen - 2022 - search.proquest.com
Improvement of spacecraft trajectory optimization approaches, methods, and techniques is
critical for better mission design. Preliminary low-fidelity analysis precedes high-fidelity …

Notice of Retraction: Gliding trajectory optimization based on hp-adaptive pseudospectral method

K Guo, F **ong - … on Quality, Reliability, Risk, Maintenance, and …, 2013 - pure.bit.edu.cn
Trajectory design plays an important role in the overall design optimization of an aero-craft.
As a classic method to solve trajectory optimization design problem, the indirect method is …

Mathematical Fundamentals

W Chen, H Zhou, W Yu, L Yang - Steady Glide Dynamics and Guidance of …, 2020 - Springer
Regular perturbation method (ie direct expansion method) is a technique used for solving
the asymptotic power series of solutions to regular perturbation problems. By assuming that …