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This paper presents an efficient, offline method to simultaneously synthesize controllers and seek closed-loop Lyapunov functions for constrained piecewise affine systems on triangulated subsets of the admissible states. Triangulation…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Reza Lavaei , Leila Bridgeman

In the context of dynamic virtual power plants (DVPPs), the integration of frequency containment reserve (FCR) and fast frequency control (FFC) enabled via local compensation of power imbalance represents a significant advancement in…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Saif Ahmad , Seifeddine Ben Elghali , Hafiz Ahmed

This work presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation…

Optimization and Control · Mathematics 2007-05-23 Gisela Pujol , Jose Rodellar , Josep M. Rossell

This paper presents a novel framework for collective control of Distributed Energy Resources (DERs) in active Distribution Networks (DNs). The proposed approach unifies the commonly employed local (i.e., decentralized) voltage and frequency…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Ognjen Stanojev , Yi Guo , Gabriela Hug

In this paper, we analyze the impact of communication failures on the performance of optimal distributed frequency control. We consider a consensus-based control scheme, and show that it does not converge to the optimal solution when the…

Systems and Control · Computer Science 2016-05-04 Marzieh Parandehgheibi , Konstantin Turitsyn , Eytan Modiano

This paper focuses on designing completely decentralized load frequency control (LFC) for multi-area power systems to achieve global optimized performance. To this end, a new concept of integrated design is introduced for designing the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Xianxian Zhao , Jianglin Lan

Voltage regulation is critical for power grids. However, it has become a much more challenging problem as distributed energy resources (DERs) such as photovoltaic and wind generators are increasingly deployed, causing rapid voltage…

Systems and Control · Computer Science 2017-08-09 Xinyang Zhou , Masoud Farivar , Lijun Chen

This paper develops a power management scheme that jointly optimizes the real power consumption of programmable loads and reactive power outputs of photovoltaic (PV) inverters in distribution networks. The premise is to determine the…

Systems and Control · Computer Science 2016-10-20 Mohammadhafez Bazrafshan , Nikolaos Gatsis

Inverter-dominated microgrids are quickly becoming a key building block of future power systems. They rely on centralized controllers that can provide reliability and resiliency in extreme events. Nonetheless, communication failures due to…

Systems and Control · Electrical Eng. & Systems 2023-07-11 Siddharth Bhela , Abhishek Banerjee , Ulrich Muenz , Joachim Bamberger

This paper considers the problem of decentralized goal assignment and trajectory generation for multi-robot networks when only local communication is available, and proposes an approach based on methods related to switched systems and set…

Multiagent Systems · Computer Science 2019-10-04 Dimitra Panagou , Matthew Turpin , Vijay Kumar

We consider the problem of distributed secondary frequency regulation in power networks such that stability and an optimal power allocation are attained. This is a problem that has been widely studied in the literature, and two main control…

Optimization and Control · Mathematics 2020-08-12 Andreas Kasis , Nima Monshizadeh , Ioannis Lestas

Power system dynamics are naturally nonlinear. The nonlinearity stems from power flows, generator dynamics, and electromagnetic transients. Characterizing the nonlinearity of the dynamical power system model is useful for designing superior…

Systems and Control · Computer Science 2019-06-19 Sebastian A. Nugroho , Ahmad F. Taha , Junjian Qi

This paper is about the stabilization of a cascade system composed by an infinite-dimensional system, that we suppose to be exponentially stable, and an ordinary differential equation (ODE), that we suppose to be marginally stable. The…

Analysis of PDEs · Mathematics 2021-11-10 Swann Marx , Daniele Astolfi , Vincent Andrieu

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

This work addresses the distributed frequency control problem in power systems considering controllable load with a nonsmooth cost. The nonsmoothness exists widely in power systems, such as tiered price, greatly challenging the design of…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Zhaojian Wang , Feng Liua , Changhong Zhao , Zhiyuan Ma , Wei Wei

This paper presents a method to stabilize state and input constrained nonlinear systems using an offline optimization on variable triangulations of the set of admissible states. For control-affine systems, by choosing a continuous piecewise…

Systems and Control · Electrical Eng. & Systems 2021-12-02 Reza Lavaei , Leila Bridgeman

A phase model with feedback control is studied as a dynamical model of power grids. As an example, we study a model network corresponding to the power grid in the Kyushu region. The standard frequency is maintained by the mutual…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Tatsuma Matsuo , Hidetsugu Sakaguchi

We consider the set-point control problem for nonlinear systems with flat output that are subject to perturbations. The nonlinear dynamics as well as the perturbations are locally Lipschitz. We apply the model-following control (MFC)…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Julian Willkomm , Kai Wulff , Johann Reger

Electromechanical transients in power networks are mostly caused by a mismatch between power consumption and production, causing generators to deviate from the nominal frequency. To that end, feedback control algorithms have been designed…

Optimization and Control · Mathematics 2023-02-09 Sebastian A. Nugroho , Ahmad F. Taha

The generalized Kalman-Yakubovich-Popov lemma as established by Iwasaki and Hara in 2005 marks a milestone in the analysis and synthesis of linear systems from a finite-frequency perspective. Given a pre-specified frequency band, it allows…

Systems and Control · Electrical Eng. & Systems 2023-06-05 Jingjing Zhang , Jan Heiland , Peter Benner , Xin Du