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A possible mean to stabilize the LEO debris population is to remove each year 5 heavy debris like spent satellites or launchers stages from that space region. This paper investigates the DeltaV requirement for such a Space Debris Collecting…

Systems and Control · Computer Science 2011-07-04 Max Cerf

Optimization of low-thrust trajectories that involve a larger number of orbit revolutions is considered a challenging problem. This paper describes a high-precision symplectic method and optimization techniques to solve the minimum-energy…

Space Physics · Physics 2019-09-19 Zhibo E , Davide Guzzetti

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

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

This paper introduces a new algorithm for trajectory optimization, Decoupled Reduced-space and Adaptive Feasibility-repair Trajectory Optimization (DRAFTO). It first constructs a constrained objective that accounts for smoothness, safety,…

Robotics · Computer Science 2026-03-13 Yichang Feng , Xiao Liang , Minghui Zheng

Precise soft landings on asteroids are central to many deep space missions for surface exploration and resource exploitation. To improve the autonomy and intelligence of landing control, a real-time optimal control approach is proposed…

Optimization and Control · Mathematics 2020-02-19 Lin Cheng , Zhenbo Wang , Yu Song , Fanghua Jiang

The optimization of low-thrust, multi-revolution orbit transfer trajectories is often regarded as a difficult problem in modern astrodynamics. In this paper, a flexible and computationally efficient approach is presented for the…

Optimization and Control · Mathematics 2024-09-11 Mirko Leomanni , Gianni Bianchini , Andrea Garulli , Renato Quartullo

Orbital debris poses an escalating threat to space missions and the long-term sustainability of Earth's orbital environment. The literature proposes various approaches for orbital debris remediation, including the use of multiple…

Optimization and Control · Mathematics 2025-12-17 David O. Williams Rogers , Hang Woon Lee

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is…

Optimization and Control · Mathematics 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

Optimization and Control · Mathematics 2024-12-30 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

Approaching a tumbling target safely is a critical challenge in space debris removal missions utilizing robotic manipulators onboard servicing satellites. In this work, we propose a trajectory planning method based on nonlinear optimization…

Robotics · Computer Science 2025-12-29 Kenta Iizuka , Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

We apply two different monotonically convergent optimization algorithms to the control of molecular rotational dynamics by laser pulses. This example represents a quantum control problem where the interaction of the system with the external…

Quantum Physics · Physics 2015-06-15 M. Ndong , M. Lapert , C. Koch , D. Sugny

As we move to increasingly complex cyber-physical systems (CPS), new approaches are needed to plan efficient state trajectories in real-time. In this paper, we propose an approach to significantly reduce the complexity of solving optimal…

Robotics · Computer Science 2023-08-29 Logan E. Beaver , Andreas A. Malikopoulos

This paper presents the preliminary design of the descent and landing trajectory of the ESA Argonaut lunar lander. The mission scenario and driving system constraints are presented and accounted for in the design of a fuel-optimal…

Systems and Control · Electrical Eng. & Systems 2024-01-11 Francesco Capolupo , Antonio Rinalducci

The paper provides a new approach to utilizing space environmental forces in time- and energy-optimal, propellant-less spacecraft rendezvous missions. Considering the nonlinear form of the relative dynamic equations, rendezvous missions are…

Space Physics · Physics 2023-03-30 Mohamed Shouman , Ahmed Atallah , Mohammad S. Ramadan

Achieving stable and energy-efficient locomotion is essential for humanoid robots to operate continuously in real-world applications. Existing MPC and RL approaches often rely on energy-related metrics embedded within a multi-objective…

Robotics · Computer Science 2026-02-09 Weidong Huang , Jingwen Zhang , Jiongye Li , Shibowen Zhang , Jiayang Wu , Jiayi Wang , Hangxin Liu , Yaodong Yang , Yao Su

Consider a polynomial optimisation problem, whose instances vary continuously over time. We propose to use a coordinate-descent algorithm for solving such time-varying optimisation problems. In particular, we focus on relaxations of…

Optimization and Control · Mathematics 2019-09-24 Jie Liu , Jakub Marecek , Andrea Simonetto , Martin Takac

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

This paper presents the design of a multi-spacecraft system for the deflection of asteroids. Each spacecraft is equipped with a fibre laser and a solar concentrator. The laser induces the sublimation of a portion of the surface of the…

Optimization and Control · Mathematics 2015-06-05 Massimiliano Vasile , Chrisite Maddock