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Spacecraft and drones aimed at exploring our solar system are designed to operate in conditions where the smart use of onboard resources is vital to the success or failure of the mission. Sensorimotor actions are thus often derived from…

We consider the Earth-Venus mass-optimal interplanetary transfer of a low-thrust spacecraft and show how the optimal guidance can be represented by deep networks in a large portion of the state space and to a high degree of accuracy.…

神经与进化计算 · 计算机科学 2020-02-24 Dario Izzo , Ekin Öztürk

Optimal control problems naturally arise in many scientific applications where one wishes to steer a dynamical system from a certain initial state $\mathbf{x}_0$ to a desired target state $\mathbf{x}^*$ in finite time $T$. Recent advances…

机器学习 · 计算机科学 2022-09-20 Lucas Böttcher , Thomas Asikis

We perform uncertainty propagation on an event manifold for Guidance & Control Networks (G&CNETs), aiming to enhance the certification tools for neural networks in this field. This work utilizes three previously solved optimal control…

系统与控制 · 电气工程与系统科学 2024-10-08 Sebastien Origer , Dario Izzo , Giacomo Acciarini , Francesco Biscani , Rita Mastroianni , Max Bannach , Harry Holt

Optimal control holds great potential to improve a variety of robotic applications. The application of optimal control on-board limited platforms has been severely hindered by the large computational requirements of current state of the art…

机器人学 · 计算机科学 2021-09-23 Shuo Li , Ekin Ozturk , Christophe De Wagter , Guido C. H. E. de Croon , Dario Izzo

We study the fundamental computational problem of approximating optimal transport (OT) equations using neural differential equations (Neural ODEs). More specifically, we develop a novel framework for approximating unbalanced optimal…

数值分析 · 数学 2026-05-21 Minh-Nhat Phung , Minh-Binh Tran

Reaching fast and autonomous flight requires computationally efficient and robust algorithms. To this end, we train Guidance & Control Networks to approximate optimal control policies ranging from energy-optimal to time-optimal flight. We…

机器人学 · 计算机科学 2023-05-05 Sebastien Origer , Christophe De Wagter , Robin Ferede , Guido C. H. E. de Croon , Dario Izzo

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…

最优化与控制 · 数学 2020-02-19 Lin Cheng , Zhenbo Wang , Yu Song , Fanghua Jiang

Deep sequence models have achieved notable success in time-series analysis, such as interpolation and forecasting. Recent advances move beyond discrete-time architectures like Recurrent Neural Networks (RNNs) toward continuous-time…

机器学习 · 计算机科学 2025-08-05 Haoran Li , Muhao Guo , Yang Weng , Hanghang Tong

This paper introduced the space mission DikpolaSat Mission, how this research fits into the mission, and the importance of having a trained DNN model instead of the usual GN&C functionality. This paper shows how the controller demonstration…

机器人学 · 计算机科学 2021-06-02 Manuel Ntumba , Saurabh Gore , Jean Baptiste Awanyo

Neural ODEs (NODEs) are continuous-time neural networks (NNs) that can process data without the limitation of time intervals. They have advantages in learning and understanding the evolution of complex real dynamics. Many previous works…

机器学习 · 计算机科学 2024-11-05 Wenjie Mei , Dongzhe Zheng , Shihua Li

Recent research on deep learning, a set of machine learning techniques able to learn deep architectures, has shown how robotic perception and action greatly benefits from these techniques. In terms of spacecraft navigation and control…

系统与控制 · 计算机科学 2016-10-28 Carlos Sánchez-Sánchez , Dario Izzo

Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems. The common solution is to use the adjoint sensitivity…

机器学习 · 计算机科学 2022-02-16 Andrew Corbett , Dmitry Kangin

The great success neural networks have achieved is inseparable from the application of gradient-descent (GD) algorithms. Based on GD, many variant algorithms have emerged to improve the GD optimization process. The gradient for…

机器学习 · 计算机科学 2023-05-29 Zefan Li , Bingbing Ni , Teng Li , WenJun Zhang , Wen Gao

Developing optimal controllers for aggressive high-speed quadcopter flight poses significant challenges in robotics. Recent trends in the field involve utilizing neural network controllers trained through supervised or reinforcement…

机器人学 · 计算机科学 2024-06-24 Robin Ferede , Guido C. H. E. de Croon , Christophe De Wagter , Dario Izzo

To better understand and improve the behavior of neural networks, a recent line of works bridged the connection between ordinary differential equations (ODEs) and deep neural networks (DNNs). The connections are made in two folds: (1) View…

机器学习 · 计算机科学 2019-11-05 Xinshi Chen

Extracting physical laws from observation data is a central challenge in many diverse areas of science and engineering. We propose Optimal Control Neural Networks (OCN) to learn the laws of vector fields in dynamical systems, with no…

动力系统 · 数学 2023-12-05 Xuping Tian , Baskar Ganapathysubramanian , Hailiang Liu

Residual networks, as discrete approximations of Ordinary Differential Equations (ODEs), have inspired significant advancements in neural network design, including multistep methods, high-order methods, and multi-particle dynamical systems.…

计算与语言 · 计算机科学 2024-11-06 Bei Li , Tong Zheng , Rui Wang , Jiahao Liu , Qingyan Guo , Junliang Guo , Xu Tan , Tong Xiao , Jingbo Zhu , Jingang Wang , Xunliang Cai

Real-world systems are often formulated as constrained optimization problems. Techniques to incorporate constraints into Neural Networks (NN), such as Neural Ordinary Differential Equations (Neural ODEs), have been used. However, these…

机器学习 · 计算机科学 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Training Neural Networks (NNs) to behave as Model Predictive Control (MPC) algorithms is an effective way to implement them in constrained embedded devices. By collecting large amounts of input-output data, where inputs represent system…

系统与控制 · 电气工程与系统科学 2025-04-16 Alberto Castillo , Elliot Pryor , Anas El Fathi , Boris Kovatchev , Marc Breton
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