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This paper studies secondary frequency control in transmission networks subject to communication delays at the cyber-physical interface and limited per-update computation at the control center. The regulation objective is formulated as a…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Yiwei Liu , Luwei Yang , Shunbo Lei

High penetration of renewable energy sources intensifies frequency fluctuations in multi-area power systems, challenging both stability and operational safety. This paper proposes a novel distributed frequency control method that ensures…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Xiemin Mo , Tao Liu

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

This paper presents a novel load frequency control (LFC) design using integral-based decentralize fixed-order perturbed dynamic output tracking scheme in a delay dependent nonlinear interconnected multi-area power system via LMI approach.…

Optimization and Control · Mathematics 2014-12-17 Ali Azarbahram , Mahdi Sojoodi , Mahmoud-Reza Haghifam

The AC frequency in electrical power systems is conventionally regulated by synchronous machines. The gradual replacement of these machines by asynchronous renewable-based generation, which provides little or no frequency control, increases…

Optimization and Control · Mathematics 2019-06-13 Richard Pates , Enrique Mallada

We propose a distributed control, in which many identical control agents are deployed for controlling a linear time-invariant plant that has multiple input-output channels. Each control agent can join or leave the control loop during the…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Taekyoo Kim , Donggil Lee , Hyungbo Shim

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as a continuous time Markov chain (CTMC). The resulting…

Systems and Control · Computer Science 2017-03-29 Shiba Biswal , Karthik Elamvazhuthi , Spring Berman

We investigate the performance and robustness of distributed averaging integral controllers used in the optimal frequency regulation of power networks. We construct a strict Lyapunov function that allows us to quantify the exponential…

Optimization and Control · Mathematics 2026-01-13 Erieke Weitenberg , Claudio De Persis , Nima Monshizadeh

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingencies locally before it can cause a network-wide collapse.…

Optimization and Control · Mathematics 2018-06-08 Sai Pushpak Nandanoori , Soumya Kundu , Draguna Vrabie , Karan Kalsi , Jianming Lian

We study the performance of a decentralized integral control scheme for joint power grid frequency regulation and economic dispatch. We show that by properly designing the controller gains, after a power flow perturbation, the control…

Optimization and Control · Mathematics 2018-09-10 Jianan Zhang , Eytan Modiano

We investigate local convergence of identical DC/AC converters interconnected via identical resistive and inductive lines towards a synchronous equilibrium manifold. We exploit the symmetry of the resulting vector field and develop a…

Optimization and Control · Mathematics 2020-07-29 Taouba Jouini , Zhiyong Sun

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Optimization plays a central role in intelligent systems and cyber-physical technologies, where speed and reliability of convergence directly impact performance. In control theory, optimization-centric methods are standard: controllers are…

Optimization and Control · Mathematics 2026-03-23 Liraz Mudrik , Isaac Kaminer , Sean Kragelund , Abram H. Clark

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

Optimization and Control · Mathematics 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Trager Joswig-Jones , Baosen Zhang

Uncertainty from renewable energy and loads is one of the major challenges for stable grid operation. Various approaches have been explored to remedy these uncertainties. In this paper, we design centralized or decentralized state-feedback…

Systems and Control · Computer Science 2019-07-17 Ahmad F. Taha , Mohammadhafez Bazrafshan , Sebastian Nugroho , Nikolaos Gatsis , Junjian Qi

As power systems become more and more interconnected, the inter-area oscillations has become a serious factor limiting large power transfer among different areas. Underdamped (Undamped) inter-area oscillations may cause system breakup and…

Systems and Control · Computer Science 2017-01-10 Jianming Lian , Shaobu Wang , Ruisheng Diao , Zhenyu Huang

This paper proposes a new strategy for optimal grid frequency regulation (FR) in an interconnected power system where regional ac grids and an offshore wind farm are linked via a multi-terminal high voltage direct-current (MTDC) network. In…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Young-Jin Kim

Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an…

Optimization and Control · Mathematics 2017-08-03 Sebastian Trip , Claudio De Persis