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Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control…

Robotics · Computer Science 2022-06-16 Haojie Shi , Max Q. -H. Meng

With the complex hybrid AC-DC power system in China coming into being, the HVDC faults, such as DC block faults, have an enormous effect on the frequency stability of the AC side. In multi-infeed HVDC (MIDC) system, to improve the frequency…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Ye Liu , Chen Shen , Yankan Song , Jun Yan

Modern power systems face new operational hurdles due to the increasing adoption of inverter-coupled distributed energy resources, which impact system stability and control. Central to these challenges is the dynamic nature of grid…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Phuoc Sang Nguyen , Ghavameddin Nourbakhsh , Gerard Ledwich

Time-delay embedding is a technique that uses snapshots of state history over time to build a linear state space model of a nonlinear smooth system. We demonstrate that periodic non-smooth or hybrid system can also be modeled as a linear…

Robotics · Computer Science 2025-08-12 Chun-Ming Yang , Pranav A. Bhounsule

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Zizhen Guo , Wenchuan Wu

The electric grid is undergoing a major transition from fossil fuel-based power generation to renewable energy sources, typically interfaced to the grid via power electronics. The future power systems are thus expected to face increased…

Systems and Control · Electrical Eng. & Systems 2020-07-13 Ognjen Stanojev , Ognjen Kundacina , Uros Markovic , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

In this paper, data-driven algorithms based on Koopman Operator Theory are applied to identify and predict the nonlinear dynamics of a vapor compression system and cabin temperature in a light-duty electric vehicle. By leveraging a…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Luca Meda , Stephanie Stockar

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Yue Wu

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

Optimization and Control · Mathematics 2021-06-17 Donghwan Lee , Do Wan Kim

Recent strides in nonlinear model predictive control (NMPC) underscore a dependence on numerical advancements to efficiently and accurately solve large-scale problems. Given the substantial number of variables characterizing typical…

Robotics · Computer Science 2024-06-04 Wilson Jallet , Ewen Dantec , Etienne Arlaud , Justin Carpentier , Nicolas Mansard

This paper addresses frequency regulation under operational constraints in interconnected power systems with high penetration of inverter-based renewable generation. A two-layer control architecture is proposed that combines optimized droop…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Hassan Haes Alhelou , Ali T. Al- Awami , Mohannad Alkhraijah , Anuradha M. Annaswamy

For various typical cases and situations where the formulation results in an optimal control problem, the Linear Quadratic Regulator (LQR) approach and its variants continue to be highly attractive. In certain scenarios, it can happen that…

Optimization and Control · Mathematics 2023-02-14 Jun Ma , Zilong Cheng , Xiaocong Li , Wenxin Wang , Masayoshi Tomizuka , Tong Heng Lee

We study in this paper the linear quadratic optimal control (linear quadratic regulation, LQR for short) for discrete-time complex-valued linear systems, which have shown to have several potential applications in control theory. Firstly, an…

Optimization and Control · Mathematics 2017-09-18 Bin Zhou

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

Systems and Control · Computer Science 2018-09-18 Forrest Laine , Claire Tomlin

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

Unlike traditional model-based reinforcement learning approaches that estimate system parameters from data, non-model-based data-driven control learns the optimal policy directly from input-state data without any intermediate model…

Optimization and Control · Mathematics 2026-05-05 Leilei Cui , Zhong-Ping Jiang , Petter N. Kolm , Grégoire G. Macqueron

To address the control challenges associated with the increasing share of inverter-connected renewable energy resources, this paper proposes a direct data-driven approach for fast frequency control in the bulk power system. The proposed…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Etinosa Ekomwenrenren , John W. Simpson-Porco , Evangelos Farantatos , Mahendra Patel , Aboutaleb Haddadi , Lin Zhu

Modularized Koopman Bilinear Form (M-KBF) is presented to model and predict the transient dynamics of microgrids in the presence of disturbances. As a scalable data-driven approach, M-KBF divides the identification and prediction of the…

Systems and Control · Electrical Eng. & Systems 2022-05-19 Xinyuan Jiang , Yan Li , Daning Huang

Load frequency control (LFC) is widely employed in power systems to stabilize frequency fluctuation and guarantee power quality. However, most existing LFC methods rely on accurate power system modeling and usually ignore the nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Xiaodi Chen , Meng Zhang , Zhengguang Wu , Ligang Wu , Xiaohong Guan

Voltage regulation in distribution networks is challenged by increasing penetration of distributed energy resources (DERs). Thanks to advancement in power electronics, these DERs can be leveraged to regulate the grid voltage by quickly…

Optimization and Control · Mathematics 2017-07-25 Hao Jan Liu , Wei Shi , Hao Zhu