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This paper proposes a novel wide-area control strategy for modulating the active power injections to damp the critical frequency oscillations in power systems, this includes the inter-area oscillations and the transient frequency swing. The…

Systems and Control · Electrical Eng. & Systems 2020-03-26 Ruichao Xie , Innocent Kamwa , C. Y. Chung

The system frequency is a critical measure of power system stability and understanding, and modeling it are key to ensure reliable power system operations. Koopman-based autoencoders are effective at approximating complex nonlinear data…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Eric Lupascu , Xiao Li , Benjamin Schäfer

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary and incorporates a nonlinear input transformation, thereby…

Optimization and Control · Mathematics 2023-09-22 Vít Cibulka , Milan Korda , Tomáš Haniš

A predictive control scheme for a permanent-magnet synchronous machine (PMSM) is presented. It is based on a suboptimal method for computationally efficient trajectory generation based on continuous parameterization and linear programming.…

Systems and Control · Computer Science 2012-12-04 Jean-Francois Stumper , Alexander Doetlinger , Janos Jung , Ralph Kennel

This paper presents a data-driven method to identify an asymptotically stable Koopman system from noisy data. In particular, the proposed approach combines approximations of the system's forward- and backward-in-time dynamics to reduce bias…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Louis Lortie , Steven Dahdah , James Richard Forbes

The Koopman Operator (KO) is a mathematical construct that maps nonlinear (state space) dynamics to corresponding linear dynamics in an infinite-dimensional functional space. For practical applications, finite-dimensional approximations can…

Dynamical Systems · Mathematics 2025-06-19 Craig Bakker

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

Decoherence-Free Subsystems (DFS) are a powerful means of protecting quantum information against noise with known symmetry properties. Although Hamiltonians theoretically exist that can implement a universal set of logic gates on DFS…

Quantum Physics · Physics 2007-05-23 P. Cappellaro , J. S. Hodges , T. F. Havel , D. G. Cory

Recurrent neural networks are widely used on time series data, yet such models often ignore the underlying physical structures in such sequences. A new class of physics-based methods related to Koopman theory has been introduced, offering…

Computational Physics · Physics 2020-07-01 Omri Azencot , N. Benjamin Erichson , Vanessa Lin , Michael W. Mahoney

We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control…

Quantum Physics · Physics 2009-11-11 Lorenza Viola , Emanuel Knill

In this paper, we present distributed controllers for sharing primary and secondary frequency control reserves for asynchronous AC transmission systems, which are connected through a multi-terminal HVDC grid. By using Lyapunov arguments,…

Optimization and Control · Mathematics 2015-12-17 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

Advances in machine learning and the growing trend towards effortless data generation in real-world systems has led to an increasing interest for data-inferred models and data-based control in robotics. It seems appealing to govern robots…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Mario Rosenfelder , Lea Bold , Hannes Eschmann , Peter Eberhard , Karl Worthmann , Henrik Ebel

Approaches based on Koopman operators have shown great promise in forecasting time series data generated by complex nonlinear dynamical systems (NLDS). Although such approaches are able to capture the latent state representation of a NLDS,…

Machine Learning · Computer Science 2024-10-01 Ashutosh Singh , Ashish Singh , Tales Imbiriba , Deniz Erdogmus , Ricardo Borsoi

Extended dynamic mode decomposition (EDMD) is a popular data-driven method to predict the action of the Koopman operator, i.e., the evolution of an observable function along the flow of a dynamical system. In this paper, we leverage a…

Optimization and Control · Mathematics 2025-03-17 Lea Bold , Manuel Schaller , Irene Schimperna , Karl Worthmann

In this study, we address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust…

Quantum Physics · Physics 2024-08-20 Loris Maria Cangemi , Hilario Espinós , Ricardo Puebla , Erik Torrontegui , Amikam Levy

Dynamic Metasurface Antennas (DMAs) constitute a promising solution for extremely large antenna arrays, requiring lower power consumption and reduced hardware cost as compared to conventional phased arrays. In this paper, we consider a…

Signal Processing · Electrical Eng. & Systems 2026-05-06 Konstantinos D. Katsanos , Panagiotis Gavriilidis , George C. Alexandropoulos

The Grid-Forming Inverter (GFMI) is an emerging topic that is attracting significant attention from both academic and industrial communities, particularly in the area of control design. The Decoupled Average Model-based Sliding Mode Current…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Quang-Manh Hoang , Guilherme Vieira Hollweg , Akhtar Hussain , Sina Zarrabian , Wencong Su , Van-Hai Bui

This paper presents a generalizable methodology for data-driven identification of nonlinear dynamics that bounds the model error in terms of the prediction horizon and the magnitude of the derivatives of the system states. Using…

Machine Learning · Statistics 2021-05-03 Giorgos Mamakoukas , Maria L. Castano , Xiaobo Tan , Todd D. Murphey

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

Optimization and Control · Mathematics 2023-03-23 Daisuke Uchida , Karthik Duraisamy

Dynamic mode decomposition (DMD) gives a practical means of extracting dynamic information from data, in the form of spatial modes and their associated frequencies and growth/decay rates. DMD can be considered as a numerical approximation…

Dynamical Systems · Mathematics 2017-10-03 Hao Zhang , Scott T. M. Dawson , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta