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We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

系统与控制 · 电气工程与系统科学 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

We investigate the problem of data-driven, on-the-fly control of systems with unknown nonlinear dynamics where data from only a single finite-horizon trajectory and possibly side information on the dynamics are available. Such side…

系统与控制 · 电气工程与系统科学 2021-03-23 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

We develop a control algorithm that ensures the safety, in terms of confinement in a set, of a system with unknown, 2nd-order nonlinear dynamics. The algorithm establishes novel connections between data-driven and robust, nonlinear control.…

系统与控制 · 电气工程与系统科学 2021-05-17 Christos K. Verginis , Franck Djeumou , Ufuk Topcu

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

系统与控制 · 电气工程与系统科学 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the…

最优化与控制 · 数学 2022-02-09 Daniel Gurevich , Debdipta Goswami , Charles L. Fefferman , Clarence W. Rowley

We study the problem of data-driven, constrained control of unknown nonlinear dynamics from a single ongoing and finite-horizon trajectory. We consider a one-step optimal control problem with a smooth, black-box objective, typically a…

最优化与控制 · 数学 2022-06-23 Abraham P. Vinod , Arie Israel , Ufuk Topcu

This work proposes a robust data-driven predictive control approach for unknown nonlinear systems in the presence of bounded process and measurement noise. Data-driven reachable sets are employed for the controller design instead of using…

系统与控制 · 电气工程与系统科学 2023-07-18 Mahsa Farjadnia , Amr Alanwar , Muhammad Umar B. Niazi , Marco Molinari , Karl Henrik Johansson

Achieving both optimality and safety under unknown system dynamics is a central challenge in real-world deployment of agents. To address this, we introduce a notion of maximum safe dynamics learning, where sufficient exploration is…

系统与控制 · 电气工程与系统科学 2026-02-24 Manish Prajapat , Johannes Köhler , Melanie N. Zeilinger , Andreas Krause

We present a mathematical and computational framework for the problem of learning a dynamical system from noisy observations of a few trajectories and subject to side information. Side information is any knowledge we might have about the…

最优化与控制 · 数学 2022-01-19 Amir Ali Ahmadi , Bachir El Khadir

This paper focuses on developing a strategy for control of systems whose dynamics are almost entirely unknown. This situation arises naturally in a scenario where a system undergoes a critical failure. In that case, it is imperative to…

最优化与控制 · 数学 2017-10-17 Melkior Ornik , Arie Israel , Ufuk Topcu

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

In this work we seek for an approach to integrate safety in the learning process that relies on a partly known state-space model of the system and regards the unknown dynamics as an additive bounded disturbance. We introduce a framework for…

机器学习 · 计算机科学 2018-11-12 Stanislav Fedorov , Antonio Candelieri

Control of underactuated dynamical systems has been studied for decades in robotics, and is now emerging in other fields such as neuroscience. Most of the advances have been in model based control theory, which has limitations when the…

最优化与控制 · 数学 2020-06-30 Bharat Monga , Jeff Moehlis

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

最优化与控制 · 数学 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

Learning-based techniques are increasingly effective at controlling complex systems using data-driven models. However, most work done so far has focused on learning individual tasks or control laws. Hence, it is still a largely unaddressed…

系统与控制 · 电气工程与系统科学 2020-05-08 Alexandre Capone , Armin Lederer , Jonas Umlauft , Sandra Hirche

This paper proposes an algorithm capable of driving a system to follow a piecewise linear trajectory without prior knowledge of the system dynamics. Motivated by a critical failure scenario in which a system can experience an abrupt change…

机器人学 · 计算机科学 2025-10-06 Taha Shafa , Yiming Meng , Melkior Ornik

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

最优化与控制 · 数学 2021-08-26 Taha Shafa , Melkior Ornik

Designing provably safe control is a core problem in trustworthy autonomy. However, most prior work in this regard assumes either that the system dynamics are known or deterministic, or that the state and action space are finite,…

机器人学 · 计算机科学 2026-02-04 Xinhang Ma , Junlin Wu , Yiannis Kantaros , Yevgeniy Vorobeychik

The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

机器学习 · 统计学 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram

This paper presents algorithms for performing data-driven reachability analysis under temporal logic side information. In certain scenarios, the data-driven reachable sets of a robot can be prohibitively conservative due to the inherent…

机器人学 · 计算机科学 2022-03-31 Amr Alanwar , Frank J. Jiang , Maryam Sharifi , Dimos V. Dimarogonas , Karl H. Johansson
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