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In this study a new approach is proposed for the generation of aircraft trajectories. The relative guidance of an aircraft, which is aimed to join in minimum time the track of a leader aircraft, is particularly considered. In a first place,…

Optimization and Control · Mathematics 2013-02-21 Mohammad Shahzad , Félix Mora-Camino , Jules Ghislain Slama , Karim Achaibou

This paper presents a novel trajectory planning method for aerial perching. Compared with the existing work, the terminal states and the trajectory durations can be adjusted adaptively, instead of being determined in advance. Furthermore,…

Robotics · Computer Science 2022-07-20 Jialin Ji , Tiankai Yang , Chao Xu , Fei Gao

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

Powered descent guidance (PDG) problems subject to six-degrees-of-freedom (6DOF) dynamics allow for enforcement of practical attitude constraints. However, numerical solutions to 6DOF PDG problems are challenging due to fast rotational…

Optimization and Control · Mathematics 2025-01-27 Nicholas P. Nurre , Ehsan Taheri

We present a trajectory-based optimization framework for arrival sequencing and scheduling in the terminal maneuvering area (TMA). Unlike node-link scheduling models that reduce trajectories to time-delay variables, the proposed method…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Yutian Pang , Daniel Delahaye , John-Paul Clarke

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

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

An important capability of autonomous Unmanned Aerial Vehicles (UAVs) is autonomous landing while avoiding collision with obstacles in the process. Such capability requires real-time local trajectory planning. Although trajectory-planning…

Robotics · Computer Science 2021-11-19 Yossi Magrisso , Ehud Rivlin , Hector Rotstein

In this paper, we present a motion planning strategy for UAVs that generates a time-optimal trajectory to survey a given target area. There are several situations where completing an aerial survey is time sensitive, such as gaining…

Robotics · Computer Science 2022-03-08 Tankasala Srinath , Pehlivanturk Can , Pryor Mitch

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

We propose a method to generate robust and optimal trajectories for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft leveraging concepts from convex optimisation, tube-based nonlinear Model Predictive Control (MPC)…

Optimization and Control · Mathematics 2023-02-10 Martin Doff-Sotta , Mark Cannon , Marko Bacic

Quadrotors are among the most agile flying robots. However, planning time-optimal trajectories at the actuation limit through multiple waypoints remains an open problem. This is crucial for applications such as inspection, delivery, search…

Robotics · Computer Science 2021-10-04 Philipp Foehn , Angel Romero , Davide Scaramuzza

In this paper, we investigate a special case of the static aircraft landing problem (ALP) with the objective to optimize landing sequences and landing times for a set of air planes. The problem is to land the planes on one or multiple…

Data Structures and Algorithms · Computer Science 2016-11-18 Abhishek Awasthi , Oliver Kramer , Jörg Lässig

This paper introduces a first-order method for solving optimal powered descent guidance (PDG) problems, that directly handles the nonconvex constraints associated with the maximum and minimum thrust bounds with varying mass and the pointing…

Optimization and Control · Mathematics 2024-04-02 Jiwoo Choi , Jong-Han Kim

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

We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

Robotics · Computer Science 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

To overcome the limitations of current parafoil precision landing capabilities, an efficient real-time convex optimized guidance and control strategy is presented. Successive convexification of the parafoil guidance problem guarantees local…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Antoine Leeman , Valentin Preda , Irene Huertas , Samir Bennani

As air traffic volume is continuously increasing, it has become a priority to improve traffic control algorithms to handle future air travel demand and improve airspace capacity. We address the conflict resolution problem in air traffic…

Optimization and Control · Mathematics 2020-02-18 Fernando H. C. Dias , Stephanie Rahme , David Rey

We propose an online iterative algorithm to optimize a convex cover to under-approximate the free space for autonomous navigation to delineate Safe Flight Corridors (SFC). The convex cover consists of a set of polytopes such that the union…

Robotics · Computer Science 2025-03-28 Yuwei Wu , Igor Spasojevic , Pratik Chaudhari , Vijay Kumar

Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow. The goal of this article is to provide a comprehensive tutorial of three major convex optimization-based trajectory…

Optimization and Control · Mathematics 2021-06-18 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Thomas Lew , Riccardo Bonalli , Marco Pavone , Behcet Acikmese