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The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of…

最优化与控制 · 数学 2017-08-10 Alireza Karimi , Christoph Kammer

Optimal Mass Transport (OMT) is a well studied problem with a variety of applications in a diverse set of fields ranging from Physics to Computer Vision and in particular Statistics and Data Science. Since the original formulation of Monge…

机器学习 · 计算机科学 2021-10-26 Amanpreet Singh , Martin Bauer , Sarang Joshi

Dynamical system-based linear transfer Perron- Frobenius (P-F) operator framework is developed to address analysis and design problems in the building system. In particular, the problems of fast contaminant propagation and optimal placement…

系统与控制 · 计算机科学 2018-07-16 Himanshu Sharma , Anthony D. Fontanini , Umesh Vaidya , Baskar Ganapathysubramanian

This paper studies finite-horizon robust tracking control for discrete-time linear systems, based on input-output data. We leverage behavioral theory to represent system trajectories through a set of noiseless historical data, instead of…

最优化与控制 · 数学 2021-02-25 Liang Xu , Mustafa Sahin Turan , Baiwei Guo , Giancarlo Ferrari-Trecate

We tackle the data-driven chance-constrained density steering problem using the Gromov-Wasserstein metric. The underlying dynamical system is an unknown linear controlled recursion, with the assumption that sufficiently rich input-output…

最优化与控制 · 数学 2025-08-11 Haruto Nakashima , Siddhartha Ganguly , Kenji Kashima

Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering…

系统与控制 · 电气工程与系统科学 2023-03-22 Waqas Manzoor , Samir Rawashdeh , Alireza Mohammadi

This paper presents a safe, efficient, and agile ground vehicle navigation algorithm for 3D off-road terrain environments. Off-road navigation is subject to uncertain vehicle-terrain interactions caused by different terrain conditions on…

机器人学 · 计算机科学 2022-09-20 Hojin Lee , Junsung Kwon , Cheolhyeon Kwon

Modeling of nonlinear behaviors with physical-based models poses challenges. However, Koopman operator maps the original nonlinear system into an infinite-dimensional linear space to achieve global linearization of the nonlinear system…

系统与控制 · 电气工程与系统科学 2024-05-17 Hao Chen , Xiangkun He , Shuo Cheng , Chen Lv

Safe navigation is a fundamental challenge in multi-robot systems due to the uncertainty surrounding the future trajectory of the robots that act as obstacles for each other. In this work, we propose a principled data-driven approach where…

机器人学 · 计算机科学 2022-09-19 Atharva Navsalkar , Ashish R. Hota

Autonomous navigation in off-road conditions requires an accurate estimation of terrain traversability. However, traversability estimation in unstructured environments is subject to high uncertainty due to the variability of numerous…

机器人学 · 计算机科学 2024-03-06 Junwon Seo , Taekyung Kim , Seongyong Ahn , Kiho Kwak

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

Control invariant set is critical for guaranteeing safe control and the problem of computing control invariant set for linear discrete-time system is revisited in this paper by using a data-driven approach. Specifically, sample points on…

最优化与控制 · 数学 2022-11-24 Jun Xu , Fanglin Chen

Koopman operators provide tractable means of learning linear approximations of non-linear dynamics. Many approaches have been proposed to find these operators, typically based upon approximations using an a-priori fixed class of models.…

系统与控制 · 电气工程与系统科学 2021-02-09 Mario Sznaier

We study an optimal transportation approach for recovering parameters in dynamical systems with a single smoothly varying attractor. We assume that the data is not sufficient for estimating time derivatives of state variables but enough to…

动力系统 · 数学 2022-04-12 Yunan Yang , Levon Nurbekyan , Elisa Negrini , Robert Martin , Mirjeta Pasha

Koopman operator theory is a kind of data-driven modelling approach that accurately captures the nonlinearities of mechatronic systems such as vehicles against physics-based methods. However, the infinite-dimensional Koopman operator is…

系统与控制 · 电气工程与系统科学 2024-05-17 Hao Chen , Chen Lv

Off-road autonomous navigation is a challenging task as it is mainly dependent on the accuracy of the motion model. Motion model performances are limited by their ability to predict the interaction between the terrain and the UGV, which an…

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

最优化与控制 · 数学 2022-11-17 Marko Nonhoff , Matthias A. Müller

This paper studies the problem of steering the distribution of a linear time-invariant system from an initial normal distribution to a terminal normal distribution under no knowledge of the system dynamics. This data-driven control…

系统与控制 · 电气工程与系统科学 2023-04-03 Joshua Pilipovsky , Panagiotis Tsiotras

In the last ten years, full-waveform inversion has emerged as a robust and efficient high-resolution velocity model-building tool for seismic imaging, with the unique ability to recover complex subsurface structures. Originally based on a…

地球物理 · 物理学 2021-06-17 Jérémie Messud , Raphaël Poncet , Gilles Lambaré

Off-road navigation is a challenging problem both at the planning level to get a smooth trajectory and at the control level to avoid flipping over, hitting obstacles, or getting stuck at a rough patch. There have been several recent works…

机器人学 · 计算机科学 2024-04-16 Dvij Kalaria , Shreya Sharma , Sarthak Bhagat , Haoru Xue , John M. Dolan