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We present a novel method for learning reduced-order models of dynamical systems using nonlinear manifolds. First, we learn the manifold by identifying nonlinear structure in the data through a general representation learning problem. The…

Numerical Analysis · Mathematics 2026-05-27 Rudy Geelen , Laura Balzano , Stephen Wright , Karen Willcox

For a partially unknown linear systems, we present a systematic control design approach based on generated data from measurements of closed-loop experiments with suitable test controllers. These experiments are used to improve the achieved…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer , Sebastian Trimpe

We describe a broad dynamical-algebraic framework for analyzing the quantum control properties of a set of naturally available interactions. General conditions under which universal control is achieved over a set of subspaces/subsystems are…

Quantum Physics · Physics 2009-11-10 P. Zanardi , S. Lloyd

Dynamic evolution behaviors of dimension-varying control systems often appear in the genetic regulatory network and the vehicle clutch system etc. An interesting and significant study on dimension-varying control systems is how to realize…

Optimization and Control · Mathematics 2023-03-02 Naqi Fan , Lijun Zhang

We present a data-driven control architecture for modifying the kinematics of robots and artificial avatars to encode specific information such as the presence or not of an emotion in the movements of an avatar or robot driven by a human…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Francesco De Lellis , Marco Coraggio , Nathan C. Foster , Riccardo Villa , Cristina Becchio , Mario di Bernardo

In this paper, we propose a novel data-driven predictive control approach for systems subject to time-domain constraints. The approach combines the strengths of H-infinity control for rejecting disturbances and MPC for handling constraints.…

Optimization and Control · Mathematics 2024-03-25 Nan Li , Ilya Kolmanovsky , Hong Chen

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…

Robotics · Computer Science 2025-10-06 Taha Shafa , Yiming Meng , Melkior Ornik

In this paper, we establish an iterative data-driven approach to derive guaranteed bounds on nonlinearity measures of unknown nonlinear systems. In this context, nonlinearity measures quantify the strength of the nonlinearity of a dynamical…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Tim Martin , Frank Allgöwer

We present a direct data-driven approach to synthesize robust control invariant (RCI) sets and their associated gain-scheduled feedback control laws for linear parameter-varying (LPV) systems subjected to bounded disturbances. A data-set…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Manas Mejari , Ankit Gupta , Dario Piga

Learning unknown dynamics under environmental (or external) constraints is fundamental to many fields (e.g., modern robotics), particularly challenging when constraint information is only locally available and uncertain. Existing approaches…

Robotics · Computer Science 2025-06-02 Dongzhe Zheng , Wenjie Mei

Discovering the governing equations of a physical system and designing an effective feedback controller remains one of the most challenging and intensive areas of ongoing research. This task demands a deep understanding of the system…

Machine Learning · Computer Science 2025-08-20 Lakshmi Priya P. K. , Andreas Schwung

Invariant manifolds are important constructs for the quantitative and qualitative understanding of nonlinear phenomena in dynamical systems. In nonlinear damped mechanical systems, for instance, spectral submanifolds have emerged as useful…

Computational Engineering, Finance, and Science · Computer Science 2021-10-15 Shobhit Jain , George Haller

Data-driven modeling and control of temperature dynamics in mechatronics systems and industrial processes are challenging control engineering problems. This is mainly because the temperature dynamics is inherently infinite-dimensional,…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Aleksandar Haber

We address the problem of designing a stabilizing closed-loop control law directly from input and state measurements collected in an open-loop experiment. In the presence of noise in data, we have that a set of dynamics could have generated…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

This article explores various uncertain control co-design (UCCD) problem formulations. While previous work offers formulations that are method-dependent and limited to only a handful of uncertainties (often from one discipline), effective…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Saeed Azad , Daniel R. Herber

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…

Optimization and Control · Mathematics 2017-08-10 Alireza Karimi , Christoph Kammer

Non-parametric representations of dynamical systems based on the image of a Hankel matrix of data are extensively used for data-driven control. However, if samples of data are missing, obtaining such representations becomes a difficult…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Mohammad Alsalti , Ivan Markovsky , Victor G. Lopez , Matthias A. Müller

Model-based control requires an accurate model of the system dynamics for precisely and safely controlling the robot in complex and dynamic environments. Moreover, in the presence of variations in the operating conditions, the model should…

Robotics · Computer Science 2024-09-04 Alessandro Saviolo , Jonathan Frey , Abhishek Rathod , Moritz Diehl , Giuseppe Loianno

The output regulation problem for unknown linear systems has been studied using state-based and output-based internal model approaches in the special case with no disturbances. This paper further investigates the output regulation problem…

Optimization and Control · Mathematics 2026-01-07 Haoyan Lin , Jie Huang

Modelling of contact-rich tasks is challenging and cannot be entirely solved using classical control approaches due to the difficulty of constructing an analytic description of the contact dynamics. Additionally, in a manipulation task like…

Robotics · Computer Science 2019-09-27 Ioanna Mitsioni , Yiannis Karayiannidis , Johannes A. Stork , Danica Kragic
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