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The Koopman operator framework can be used to identify a data-driven model of a nonlinear system. Unfortunately, when the data is corrupted by noise, the identified model can be biased. Additionally, depending on the choice of lifting…

Systems and Control · Electrical Eng. & Systems 2024-09-02 Louis Lortie , James Richard Forbes

This paper presents an active learning strategy for robotic systems that takes into account task information, enables fast learning, and allows control to be readily synthesized by taking advantage of the Koopman operator representation. We…

Robotics · Computer Science 2019-06-13 Ian Abraham , Todd D. Murphey

This paper investigates Koopman operator-based approaches for multivariable control of a two-spool turbofan engine. A physics-based component-level model is developed to generate training data and validate the controllers. A meta-heuristic…

Machine Learning · Computer Science 2026-04-06 David Grasev

This paper presents a Model-Inspired Distributionally Robust Data-enabled Predictive Control (MDR-DeePC) framework for systems with partially known and uncertain dynamics. The proposed method integrates model-based equality constraints for…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Shihao Li , Jiachen Li , Christopher Martin , Soovadeep Bakshi , Dongmei Chen

The increasing penetration of inverter-based resources (IBRs) is fundamentally reshaping power system dynamics and creating new challenges for stability assessment. Data-driven approaches, and in particular machine learning models, require…

The paper investigates data-driven output-feedback predictive control of linear systems subject to stochastic disturbances. The scheme relies on the recursive solution of a suitable data-driven reformulation of a stochastic Optimal Control…

Systems and Control · Electrical Eng. & Systems 2022-12-16 Guanru Pan , Ruchuan Ou , Timm Faulwasser

Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

This paper proposed a model predictive control (MPC) secondary frequency control method considering wind and solar power generation stochastics. The extended state-space matrix including unknown stochastic power disturbance is established,…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Cheng Zhong , Zhifu Jiang , Xiangyu Zhang , Jikai Chen , Yang Li

We develop a framework for dimension reduction, mode decomposition, and nonparametric forecasting of data generated by ergodic dynamical systems. This framework is based on a representation of the Koopman and Perron-Frobenius groups of…

Dynamical Systems · Mathematics 2017-09-04 Dimitrios Giannakis

Achieving real-time capability is an essential prerequisite for the industrial implementation of nonlinear model predictive control (NMPC). Data-driven model reduction offers a way to obtain low-order control models from complex digital…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Jan C. Schulze , Danimir T. Doncevic , Nils Erwes , Alexander Mitsos

This work presents a hybrid physics-informed and data-driven modeling framework for predictive control of autonomous off-road vehicles operating on deformable terrain. Traditional high-fidelity terramechanics models are often too…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kartik Loya , Phanindra Tallapragada

The large-scale integration of inverter-interfaced renewable energy sources presents significant challenges to maintaining power balance and nominal frequency in modern power systems. This paper studies grid-level coordinated control of…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Xiaoyang Wang , Xin Chen

Current data-driven predictive control (DDPC) methods heavily rely on data collected in open-loop operation with elaborate design of inputs. However, due to safety or economic concerns, systems may have to be under feedback control, where…

Optimization and Control · Mathematics 2024-02-21 Yibo Wang , Yiwen Qiu , Malika Sader , Dexian Huang , Chao Shang

Quadrotor systems are common and beneficial for many fields, but their intricate behavior often makes it challenging to design effective and optimal control strategies. Some traditional approaches to nonlinear control often rely on local…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Zeyad M. Manaa , Ayman M. Abdallah , Mohammad A. Abido , Syed S. Azhar Ali

This paper continues in the work from arXiv:1903.06103 [math.OC] where a nonlinear vehicle model was approximated in a purely data-driven manner by a linear predictor of higher order, namely the Koopman operator. The vehicle system…

Optimization and Control · Mathematics 2021-03-09 Vít Cibulka , Milan Korda , Tomáš Haniš , Martin Hromčík

To avoid complex constraints of the traditional nonlinear method for tethered space robot (TSR) deployment, this paper proposes a data-driven optimal control framework with an improved deep learning based Koopman operator that could be…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Ao Jin , Fan Zhang , Panfeng Huang

We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator. While data-driven algorithms to reconstruct such operators are well known, their…

Machine Learning · Computer Science 2022-12-14 Vladimir Kostic , Pietro Novelli , Andreas Maurer , Carlo Ciliberto , Lorenzo Rosasco , Massimiliano Pontil

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

A disturbance-aware predictive control policy is proposed for DC-AC power inverters with the receding horizon optimization approach. First, a discrete event-driven hybrid automaton model has been constructed for the nonlinear inverter…

Systems and Control · Electrical Eng. & Systems 2020-12-23 Zhengxi Chen , Xun Shen

This paper is concerned with the data-driven stabilization of unknown boundary controlled semilinear parabolic systems. The nonlinear dynamics of the system are lifted using a finite number of eigenfunctionals of the Koopman operator…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Joachim Deutscher , Tarik Enderes