English
Related papers

Related papers: Coupled attitude and trajectory optimization for a…

200 papers

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

Optimization and Control · Mathematics 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

We solve the minimum-thrust optimal trajectory generation problem for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft using convex optimisation. The method is based on a change of differential operator that allows…

Optimization and Control · Mathematics 2021-09-30 Martin Doff-Sotta , Mark Cannon , Marko Bacic

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

Optimization and Control · Mathematics 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

In this work, we propose a search-based planning method to compute dynamically feasible trajectories for a quadrotor flying in an obstacle-cluttered environment. Our approach searches for smooth, minimum-time trajectories by exploring the…

Robotics · Computer Science 2017-09-19 Sikang Liu , Nikolay Atanasov , Kartik Mohta , Vijay Kumar

This work develops a unified optimal control framework for a Quadrotor Biplane tailsitter UAV capable of operating seamlessly across hover, transition, and cruise flight regimes. Although the tailsitter configuration enables mechanically…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Animesh Kumar Shastry , Mangal Kothari

We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach into a mixed-integer optimal control problem without…

Optimization and Control · Mathematics 2021-04-21 Simone Göttlich , Falk M. Hante , Andreas Potschka , Lars Schewe

We analyze and experimentally compare various rotational error metrics for use in quadrotor controllers. Traditional quadrotor attitude controllers have used Euler angles or the full rotation to compute an attitude error and scale that to…

Robotics · Computer Science 2020-11-25 Alexander Spitzer , Nathan Michael

In this paper, we introduce a trajectory planning problem for a marsupial robotics system consisting of a ground robot, a drone, and a taut tether of bounded length connecting the two robots. This problem can be framed within the context of…

Computational Geometry · Computer Science 2025-07-14 Aurelio Barrera-Vicent , José Miguel Díaz-Báñez , Fabio Rodríguez , Vanesa Sánchez-Canales

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act under a gravitational potential and under a structured control…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

It is quite often claimed, and correctly so, that linear methods cannot achieve global stability results for attitude control, and conversely that nonlinear control is essential in order to achieve (almost) globally stable tracking of…

Optimization and Control · Mathematics 2026-05-26 Yujendra Mitikiri

As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, projects on removing objects from the important orbits are…

Optimization and Control · Mathematics 2013-07-05 Johannes Michael , Kurt Chudej , Matthias Gerdts , Jürgen Pannek

Time-optimal control of a multi-rotor remains an open problem due to the under-actuation and nonlinearity of its dynamics, which make it difficult to solve this problem directly. In this paper, the time-optimal control problem of the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yongjie Zheng , Yuqing He , Liying Yang , Hongyu Nie , Chaoxiong Huang , Yiwen Zhao

The spacecraft attitude tracking problem is addressed with actuator faults and uncertainties among inertias, external disturbances, and, in particular, state estimates. A continuous sliding mode attitude controller is designed using…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Haichao Gui

The minimum-fuel orbital transfer is analyzed in the case of a launcher upper stage using a constantly thrusting engine. The thrust level is assumed to be constant and its value is optimized together with the thrust direction. A closed-loop…

Optimization and Control · Mathematics 2017-04-05 Max Cerf

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Numerical Analysis · Mathematics 2025-11-19 Jean-Philippe Chancelier , Pierre Carpentier , Guy Cohen , Thierry Dargent , Richard Epenoy

In this article, we are interested in optimal aircraft trajectories in climbing phase. We consider the cost index criterion which is a convex combination of the time-to-climb and the fuel consumption. We assume that the thrust is constant…

Optimization and Control · Mathematics 2022-12-14 Olivier Cots , Joseph Gergaud , Damien Goubinat , Boris Wembe

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

Optimization and Control · Mathematics 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

The paper develops a Model Predictive Controller for constrained control of spacecraft attitude with reaction wheel actuators. The controller exploits a special formulation of the cost with the reference governor like term, a low complexity…

Optimization and Control · Mathematics 2015-01-20 Alberto Guiggiani , Ilya Kolmanovsky , Panagiotis Patrinos , Alberto Bemporad

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.…

Optimization and Control · Mathematics 2017-02-16 Sara Spedicato , Giuseppe Notarstefano