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With the goal of moving towards implementation of increasingly dynamic behaviors on underactuated systems, this paper presents an optimization-based approach for solving full-body dynamics based controllers on underactuated bipedal robots.…

Robotics · Computer Science 2020-04-03 Jenna Reher , Claudia Kann , Aaron D. Ames

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

In this work, we construct a novel numerical method for solving the multi-marginal optimal transport problems with Coulomb cost. This type of optimal transport problems arises in quantum physics and plays an important role in understanding…

Optimization and Control · Mathematics 2023-06-16 Yukuan Hu , Huajie Chen , Xin Liu

This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

The paper considers the application of feedback control to orbital transfer maneuvers subject to constraints on the spacecraft thrust and on avoiding the collision with the primary body. Incremental reference governor (IRG) strategies are…

Optimization and Control · Mathematics 2022-12-21 Simone Semeraro , Ilya Kolmanovsky , Emanuele Garone

This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $\Delta V$ transfers between periodic orbits, including…

Space Physics · Physics 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

Generating low-thrust transfer trajectories between Earth and the Near Rectilinear Halo Orbit (NRHO), that is selected for NASA's Gateway, can be challenging due to the low control authority available from the propulsion system and the…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nicholas P. Nurre , Ehsan Taheri

This paper presents a computationally efficient model predictive control formulation that uses an integral Chebyshev collocation method to enable rapid operations of autonomous agents. By posing the finite-horizon optimal control problem…

Robotics · Computer Science 2025-03-26 Deep Parikh , Thomas L. Ahrens , Manoranjan Majji

We study a more complex case of Hohmann orbital transfer of a satellite by considering non-coplanar and elliptical orbits, instead of planar and circular orbits. We use as parameter the angle between the initial and transference planes that…

Earth and Planetary Astrophysics · Physics 2015-09-21 Angel Rincon , Patricio Rojo , Elvis Lacruz , Gabriel Abellan , Sttiwuer Diaz

Near-Earth Objects (NEOs) are attractive exploration targets due to their accessibility, scientific value, and resources. Although trajectory design has revealed efficient pathways to these bodies, systematic strategies for Earth-NEO…

Earth and Planetary Astrophysics · Physics 2026-03-31 Alessandro Beolchi , Mauro Pontani , Kathleen Howell , Chiara Pozzi , Sean Swei , Elena Fantino

In this paper we present a new approach to solve the fuel-efficient powered descent guidance problem on large planetary bodies with no atmosphere (e.g. the Moon or Mars) using the recently developed Theory of Functional Connections. The…

Optimization and Control · Mathematics 2020-10-06 Hunter Johnston , Enrico Schiassi , Roberto Furfaro , Daniele Mortari

Bayesian estimation with an explicit transitional prior is required for a tracking algorithm to be embedded in most multi-target tracking frameworks. This paper describes a novel approach capable of tracking maneuvering spacecraft with an…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Enrico M. Zucchelli , Brandon A. Jones

During recent decades, there has been a substantial development in optimal mass transport theory and methods. In this work, we consider multi-marginal problems wherein only partial information of each marginal is available, which is a setup…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Filip Elvander , Isabel Haasler , Andreas Jakobsson , Johan Karlsson

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 classical fuel-optimal two-impulse rendezvous problem between Keplerian orbits is revisited from a family-based perspective. Conventional approaches often yield isolated optimal solutions whose mutual relationships remain unclear; yet,…

Optimization and Control · Mathematics 2026-04-07 Beom Park , Kathleen C. Howell , Jaewoo Kim , Jaemyung Ahn

In this paper we consider the problem of global asymptotic stabilization with prescribed local behavior. We show that this problem can be formulated in terms of control Lyapunov functions. Moreover, we show that if the local control law has…

Optimization and Control · Mathematics 2015-08-12 Sofiane Benachour , Humberto Stein Shiromoto , Vincent Andrieu

A bi-level optimal control framework is introduced to solve the low-thrust re-phasing problem on quasi-periodic invariant tori in multi-body environments where deviations away from the torus during maneuver are considered unsafe or…

Chaotic Dynamics · Physics 2025-11-03 Ian M. Down , Manoranjan Majji , Kathleen C. Howell

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario…

Optimization and Control · Mathematics 2026-02-19 Zhong Zhang , Niccolò Michelotti , Gonçalo Oliveira Pinho , Yilin Zou , Francesco Topputo