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We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

This paper proposes a paradigm of uncertainty injection for training deep learning model to solve robust optimization problems. The majority of existing studies on deep learning focus on the model learning capability, while assuming the…

Machine Learning · Computer Science 2023-02-28 Wei Cui , Wei Yu

This paper is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xuehui Ma , Shiliang Zhang , Yushuai Li , Fucai Qian , Tingwen Huang

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

As control engineering methods are applied to increasingly complex systems, data-driven approaches for system identification appear as a promising alternative to physics-based modeling. While the Bayesian approaches prevalent for…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Robert Lefringhausen , Supitsana Srithasan , Armin Lederer , Sandra Hirche

We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

Machine Learning · Statistics 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

Robotics · Computer Science 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Alex Kendall , Yarin Gal

Imitation learning is a promising approach to end-to-end training of autonomous vehicle controllers. Typically the driving process with such approaches is entirely automatic and black-box, although in practice it is desirable to control the…

Robotics · Computer Science 2020-11-23 Renhao Wang , Adam Scibior , Frank Wood

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

While conventional reinforcement learning focuses on designing agents that can perform one task, meta-learning aims, instead, to solve the problem of designing agents that can generalize to different tasks (e.g., environments, obstacles,…

Machine Learning · Computer Science 2021-09-06 Xiaowu Sun , Wael Fatnassi , Ulices Santa Cruz , Yasser Shoukry

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

Learning-based control aims to construct models of a system to use for planning or trajectory optimization, e.g. in model-based reinforcement learning. In order to obtain guarantees of safety in this context, uncertainty must be accurately…

Robotics · Computer Science 2020-06-08 David D. Fan , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

This paper presents an algorithm to apply nonlinear control design approaches in the case of stochastic systems with partial state observation. Deterministic nonlinear control approaches are formulated under the assumption of full state…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Mohammad S. Ramadan , Mohammad Alsuwaidan , Ahmed Atallah , Sylvia Herbert

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

This paper presents an approach to trajectory-centric learning control based on contraction metrics and disturbance estimation for nonlinear systems subject to matched uncertainties. The approach uses deep neural networks to learn uncertain…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Pan Zhao , Ziyao Guo , Yikun Cheng , Aditya Gahlawat , Hyungsoo Kang , Naira Hovakimyan

Social learning, copying other's behavior without actual experience, offers a cost-effective means of knowledge acquisition. However, it raises the fundamental question of which individuals have reliable information: successful individuals…

Social and Information Networks · Computer Science 2022-03-08 Anil Yaman , Nicolas Bredeche , Onur Çaylak , Joel Z. Leibo , Sang Wan Lee

We consider perception-based control using state estimates that are obtained from high-dimensional sensor measurements via learning-enabled perception maps. However, these perception maps are not perfect and result in state estimation…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Shuo Yang , George J. Pappas , Rahul Mangharam , Lars Lindemann

We address the problem of learning to control an unknown nonlinear dynamical system through sequential interactions. Motivated by high-stakes applications in which mistakes can be catastrophic, such as robotics and healthcare, we study…

Machine Learning · Computer Science 2025-04-14 James Wang , Bruce D. Lee , Ingvar Ziemann , Nikolai Matni

Reinforcement learning (RL) has revolutionized decision-making across a wide range of domains over the past few decades. Yet, deploying RL policies in real-world scenarios presents the crucial challenge of ensuring safety. Traditional safe…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Lunet Yifru , Ali Baheri
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