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We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

机器学习 · 统计学 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

To generate reliable motion for legged robots through trajectory optimization, it is crucial to simultaneously compute the robot's path and contact sequence, as well as accurately consider the dynamics in the problem formulation. In this…

机器人学 · 计算机科学 2025-10-29 Sangmin Kim , Hajun Kim , Gijeong Kim , Min-Gyu Kim , Hae-Won Park

Predicting the future motion of actors in a traffic scene is a crucial part of any autonomous driving system. Recent research in this area has focused on trajectory prediction approaches that optimize standard trajectory error metrics. In…

机器人学 · 计算机科学 2021-05-03 Harshayu Girase , Jerrick Hoang , Sai Yalamanchi , Micol Marchetti-Bowick

Computationally tractable methods are developed for centralized goal assignment and planning of collision-free polynomial-in-time trajectories for systems of multiple aerial robots. The method first assigns robots to goals to minimize total…

机器人学 · 计算机科学 2021-01-25 Benjamin Gravell , Tyler Summers

We study a class of nonlinear nonparametric inverse problems. Specifically, we propose a nonparametric estimator of the dynamics of a monotonically increasing trajectory defined on a finite time interval. Under suitable regularity…

统计理论 · 数学 2014-08-25 Debashis Paul , Jie Peng , Prabir Burman

While Approximate Dynamic Programming has successfully been used in many applications involving discrete states and inputs such as playing the games of Tetris or chess, it has not been used in many continuous state and input space…

系统与控制 · 计算机科学 2019-02-19 Angel Romero , Paul N. Beuchat , Yvonne R. Stürz , Roy S. Smith , John Lygeros

This technical note is concerned with aeroelastic flutter problems: the analysis of aeroelastic systems undergoing airspeed-dependent dynamic instability. Existing continuation methods for parametric stability analysis are based on marching…

系统与控制 · 电气工程与系统科学 2022-11-16 Arion Pons

Accurately modeling and verifying the correct operation of systems interacting in dynamic environments is challenging. By leveraging parametric uncertainty within the model description, one can relax the requirement to describe exactly the…

最优化与控制 · 数学 2016-04-05 Patrick Holmes , Shreyas Kousik , Shankar Mohan , Ram Vasudevan

This paper focuses on robustness to disturbance forces and uncertain payloads. We present a novel formulation to optimize the robustness of dynamic trajectories. A straightforward transcription of this formulation into a nonlinear…

机器人学 · 计算机科学 2020-08-04 Henrique Ferrolho , Wolfgang Merkt , Vladimir Ivan , Wouter Wolfslag , Sethu Vijayakumar

This paper presents fast non-sampling based methods to assess the risk of trajectories for autonomous vehicles when probabilistic predictions of other agents' futures are generated by deep neural networks (DNNs). The presented methods…

机器人学 · 计算机科学 2020-06-05 Allen Wang , Xin Huang , Ashkan Jasour , Brian Williams

Spectral polynomial approximation of smooth functions allows real-time manipulation of and computation with them, as in the Chebfun system. Extension of the technique to two-dimensional and three-dimensional functions on hyperrectangles has…

数值分析 · 数学 2019-01-21 Kevin W. Aiton , Tobin A. Driscoll

We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

机器人学 · 计算机科学 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

The problem of constructing data-based, predictive, reduced models for the Kuramoto-Sivashinsky equation is considered, under circumstances where one has observation data only for a small subset of the dynamical variables. Accurate…

数值分析 · 数学 2016-08-11 Fei Lu , Kevin Lin , Alexandre J. Chorin

Due to nonholonomic dynamics, the motion planning of nonholonomic robots is always a difficult problem. This letter presents a Discrete States-based Trajectory Planning(DSTP) algorithm for autonomous nonholonomic robots. The proposed…

机器人学 · 计算机科学 2023-02-20 Ziyi Zou , Ziang Zhang , Zhen Lu , Xiang Li , You Wang , Jie Hao , Guang Li

This paper presents a new algorithm for set-based state estimation of nonlinear discrete-time systems with bounded uncertainties. The novel method builds upon essential properties and computational advantages of constrained zonotopes (CZs)…

系统与控制 · 电气工程与系统科学 2025-04-02 Brenner S. Rego , Guilherme V. Raffo , Marco H. Terra , Joseph K. Scott

We propose a representation for the set of forces a robot can counteract using full system dynamics: the residual force polytope. Given the nominal torques required by a dynamic motion, this representation models the forces which can be…

机器人学 · 计算机科学 2021-05-26 Henrique Ferrolho , Wolfgang Merkt , Carlo Tiseo , Sethu Vijayakumar

Human motion prediction is essential for the safe and smooth operation of mobile service robots and intelligent vehicles around people. Commonly used neural network-based approaches often require large amounts of complete trajectories to…

机器人学 · 计算机科学 2023-06-07 Yufei Zhu , Andrey Rudenko , Tomasz P. Kucner , Achim J. Lilienthal , Martin Magnusson

State-space estimation and tracking rely on accurate dynamical models to perform well. However, obtaining an vaccurate dynamical model for complex scenarios or adapting to changes in the system poses challenges to the estimation process.…

系统与控制 · 电气工程与系统科学 2025-06-10 Ondřej Straka , Jindřich Duník , Pau Closas , Tales Imbiriba

One of the pivotal tasks in scientific machine learning is to represent underlying dynamical systems from time series data. Many methods for such dynamics learning explicitly require the derivatives of state data, which are not directly…

机器学习 · 计算机科学 2024-04-17 Dongwei Ye , Mengwu Guo

Machines are a long way from robustly solving open-world perception-control tasks, such as first-person view (FPV) aerial navigation. While recent advances in end-to-end Machine Learning, especially Imitation and Reinforcement Learning…

计算机视觉与模式识别 · 计算机科学 2020-03-10 Rogerio Bonatti , Ratnesh Madaan , Vibhav Vineet , Sebastian Scherer , Ashish Kapoor