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Although Koopman operators provide a global linearization for autonomous dynamical systems, nonautonomous systems are not globally linear in the inputs. State (or output) feedback controller design therefore remains nonconvex in typical…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Taha Ondogan , Ran Jing , Andrew P. Sabelhaus , Roberto Tron

In this paper, a novel distributed controller for multimachine power systems is proposed to guarantee grid frequency restoration and accurate real and reactive power sharing among the generator units, while maintaining the generator inputs…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Theodoros E. Kavvathas , George C. Konstantopoulos , Charalambos Konstantinou

This paper proposes a robust nonlinear observer synthesis method for a population of systems modelled using the Koopman operator. The Koopman operator allows nonlinear systems to be rewritten as infinite-dimensional linear systems. A…

Systems and Control · Electrical Eng. & Systems 2024-10-03 Steven Dahdah , James Richard Forbes

We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase inverter model, we draw parallels to a synchronous machine (SM) model and propose a novel…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Taouba Jouini , Florian Dorfler

With increased wind power penetration in modern power systems, wind plants are required to provide frequency support similar to conventional plants. However, for the existing frequency regulation scheme of wind turbines, the control gains…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Cheng Zhong , Yueming Lv , Huayi Li , JiKai Chen , Yang Li

The increasing penetration of renewable energy resources and utilization of energy storage systems pose new challenges in maintaining power system's stability. Specifically, the cost function of regulation no longer remains smooth, which…

Optimization and Control · Mathematics 2023-11-27 Yifan Wang , Shuai Liu , Xianghui Cao , Mo-Yuen Chow

The Koopman operator is a linear operator that describes the evolution of scalar observables (i.e., measurement functions of the states) in an infinitedimensional Hilbert space. This operator theoretic point of view lifts the dynamics of a…

Optimization and Control · Mathematics 2021-10-19 Gregory Snyder , Zhuoyuan Song

In this paper, a novel model-free wide-area damping control (WADC) method is proposed, which can achieve full decoupling of modes and damp multiple critical inter-area oscillations simultaneously using grid-connected voltage source…

Systems and Control · Electrical Eng. & Systems 2021-02-11 Jinpeng Guo , Ilias Zenelis , Xiaozhe Wang , Boon-Teck Ooi

We use Koopman theory for data-driven model reduction of nonlinear dynamical systems with controls. We propose generic model structures combining delay-coordinate encoding of measurements and full-state decoding to integrate reduced Koopman…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Jan C. Schulze , Alexander Mitsos

Controlling soft continuum manipulator arms is difficult due to their infinite degrees of freedom, nonlinear material properties, and large deflections under loading. This paper presents a data-driven approach to identifying soft…

Robotics · Computer Science 2020-02-05 Daniel Bruder , Xun Fu , R. Brent Gillespie , C. David Remy , Ram Vasudevan

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

Optimization and Control · Mathematics 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

The integration of converter-interfaced generation introduces new transient stability challenges to modern power systems. Classical Lyapunov- and scalable passivity-based approaches typically rely on restrictive assumptions, and finding…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Yifei Wang , Han Wang , Kehao Zhuang , Keith Moffat , Florian Dörfler

A decentralized switched controller is developed for dynamic agents to perform global formation configuration convergence while maintaining network connectivity and avoiding collision within agents and between stationary obstacles, using…

Systems and Control · Computer Science 2013-10-02 Teng-Hu Cheng , Zhen Kan , Joel A. Rosenfeld , Warren E. Dixon

Finding an embedding space for a linear approximation of a nonlinear dynamical system enables efficient system identification and control synthesis. The Koopman operator theory lays the foundation for identifying the nonlinear-to-linear…

Machine Learning · Computer Science 2020-04-28 Yunzhu Li , Hao He , Jiajun Wu , Dina Katabi , Antonio Torralba

Newton-Raphson controller is a powerful prediction-based variable gain integral controller. Basically, the classical model-based Newton-Raphson controller requires two elements: the prediction of the system output and the derivative of the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou

This paper proposes a Koopman-based framework for modeling, prediction, and control of unknown nonlinear time-varying systems. We present a novel Koopman-based learning method for predicting the state of unknown nonlinear time-varying…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Hengde Zhang , Yunxiao Ren , Zhisheng Duan , Zhiyong Sun , Guanrong Chen

Dissipative Kerr soliton (DKS) offers a compact solution of coherent comb sources and holds huge potential for applications, but has long been suffering from poor power conversion efficiency when driving by a continuous-wave laser. Here, a…

Frequency control reserves are an essential ancillary service in any electric power system, guaranteeing that generation and demand of active power are balanced at all times. Traditionally, conventional power plants are used for frequency…

Systems and Control · Computer Science 2013-12-24 Theodor Borsche , Andreas Ulbig , Göran Andersson

We propose a framework to engineer synthetic-inertia and droop-control parameters for distributed energy resources (DERs) so that the system frequency in a network composed of DERs and synchronous generators conforms to prescribed transient…

Systems and Control · Computer Science 2017-06-13 Swaroop S. Guggilam , Changhong Zhao , Emiliano Dall'Anese , Yu Christine Chen , Sairaj V. Dhople

Approximating the Koopman operator from data is numerically challenging when many lifting functions are considered. Even low-dimensional systems can yield unstable or ill-conditioned results in a high-dimensional lifted space. In this…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Steven Dahdah , James Richard Forbes