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Related papers: Constrained Fuel and Time Optimal 6DOF Powered Des…

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This work introduces Transformer-based Successive Convexification (T-SCvx), an extension of Transformer-based Powered Descent Guidance (T-PDG), generalizable for efficient six-degree-of-freedom (DoF) fuel-optimal powered descent trajectory…

Optimization and Control · Mathematics 2025-01-03 Julia Briden , Trey Gurga , Breanna Johnson , Abhishek Cauligi , Richard Linares

In this paper, we present a real-time successive convexification algorithm for a generalized free-final-time 6-degree-of-freedom powered descent guidance problem. We build on our previous work by introducing the following contributions: (i)…

Optimization and Control · Mathematics 2020-09-01 Michael Szmuk , Taylor P. Reynolds , Behcet Acikmese

This paper presents a numerical optimization algorithm for generating approach and landing trajectories for a six-degree-of-freedom (6-DoF) aircraft. We improve on the existing research on aircraft landing trajectory generation by…

Optimization and Control · Mathematics 2025-06-12 Taewan Kim , Abhinav G. Kamath , Niyousha Rahimi , Jasper Corleis , Behçet Açıkmeşe , Mehran Mesbahi

In this paper, we introduce a novel deep learning based solution to the Powered-Descent Guidance (PDG) problem, grounded in principles of nonlinear Stochastic Optimal Control (SOC) and Feynman-Kac theory. Our algorithm solves the PDG…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Marcus A. Pereira , Camilo A. Duarte , Ioannis Exarchos , Evangelos A. Theodorou

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

In this work, we present Transformer-based Powered Descent Guidance (T-PDG), a scalable algorithm for reducing the computational complexity of the direct optimization formulation of the spacecraft powered descent guidance problem. T-PDG…

Optimization and Control · Mathematics 2023-12-12 Julia Briden , Trey Gurga , Breanna Johnson , Abhishek Cauligi , Richard Linares

This paper presents a numerical algorithm for computing 6-degree-of-freedom free-final-time powered descent guidance trajectories. The trajectory generation problem is formulated using a unit dual quaternion representation of the rigid body…

Optimization and Control · Mathematics 2020-09-01 Taylor P. Reynolds , Michael Szmuk , Danylo Malyuta , Mehran Mesbahi , Behcet Acikmese , John M. Carson

This work presents a Physics-Informed Indirect Method (PIIM) that propagates the dynamics of both states and co-states backward in time for trajectory optimization problems. In the case of a Time-Optimal Soft Landing Problem (TOSLP), based…

Optimization and Control · Mathematics 2024-08-29 Kun Wang , Fangmin Lu , Zheng Chen , Jun Li

In this paper, we employ successive convexification to solve the minimum-time 6-DoF rocket powered landing problem. The contribution of this paper is the development and demonstration of a free-final-time problem formulation that can be…

Optimization and Control · Mathematics 2018-02-13 Michael Szmuk , Behcet Acikmese

This paper addresses the problem of trajectory optimization for an unmanned surface vehicle while considering direction-dependent ocean currents and flexible refueling constraints. This work is motivated by the rising interest in developing…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Aaron Kandel , Chu Xu , David Cardona , Carey Whitehair

Aircraft failures alter dynamics, diminishing manoeuvrability. Such manoeuvring flight envelope variations, governed by the aircraft's complex nonlinear dynamics, are unpredictable by pilots and existing flight management systems. To…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Ramin Norouzi , Amirreza Kosari , Mark H. Lowenberg

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

Atmospheric powered descent guidance can be solved by successive convexification; however, its onboard application is impeded by the sharp increase in computation caused by nonlinear aerodynamic forces. The problem has to be converted into…

Systems and Control · Electrical Eng. & Systems 2023-06-07 Yushu Chen , Guangwen Yang , Lu Wang , Qingzhong Gan , Haipeng Chen , Quanyong Xu

We introduce a new algorithm to solve constrained nonlinear optimal control problem, with an emphasis on low-thrust trajectory in highly nonlinear dynamics. The algorithm, dubbed Pontryagin-Bellman Differential Dynamic Programming (PDDP),…

Optimization and Control · Mathematics 2026-05-27 Yanis Sidhoum , Kenshiro Oguri

A data-driven inverse optimization problem (DDIOP) seeks to estimate an objective function (i.e., weights) that is consistent with observed optimal-solution data, and is important in many applications, including those involving mixed…

Machine Learning · Computer Science 2026-02-17 Akira Kitaoka

A solution to the waypoint navigation problem for fixed wing micro air vehicles (MAV) is addressed in this paper, in the framework of integrated guidance and control (IGC). IGC yields a single step solution to the waypoint navigation…

Robotics · Computer Science 2019-11-05 K Harikumar , Jinraj V. Pushpangathan , Sidhant Dhall , M. Seetharama Bhat

Solving optimal control problems (OCPs) of autonomous agents operating under spatial and temporal constraints fast and accurately is essential in applications ranging from eco-driving of autonomous vehicles to quadrotor navigation. However,…

Robotics · Computer Science 2026-01-07 Shiying Dong , Zhipeng Shen , Rudolf Reiter , Hailong Huang , Bingzhao Gao , Hong Chen , Wen-Hua Chen

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

Path-planning for autonomous vehicles in threat-laden environments is a fundamental challenge. While traditional optimal control methods can find ideal paths, the computational time is often too slow for real-time decision-making. To solve…

Optimization and Control · Mathematics 2026-04-15 Qiang Le , Yaguang Yang , Isaac E. Weintraub

In this paper, we consider a Model Predictive Control (MPC) problem of a continuous-time linear time-invariant system subject to continuous-time path constraints on the states and the inputs. By leveraging the concept of differential…

Optimization and Control · Mathematics 2023-04-19 Zishuo Li , Bo Yang , Jiayun Li , Jiaqi Yan , Yilin Mo
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