Exponential convergence under distributed averaging integral frequency control

Erik Weitenberg; Claudio De Persis; Nima Monshizadeh

doi:10.1016/j.automatica.2018.09.010

Exponential convergence under distributed averaging integral frequency control

Erik Weitenberg^*, Claudio De Persis, Nima Monshizadeh

^*Corresponding author for this work

Smart Manufacturing Systems

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Abstract

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 convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions. (C) 2018 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	103-113
Number of pages	11
Journal	Automatica
Volume	98
DOIs	https://doi.org/10.1016/j.automatica.2018.09.010
Publication status	Published - Dec-2018

Keywords

Lyapunov methods
Networked systems
Power networks
Robustness analysis
Cyber-physical systems
DENIAL-OF-SERVICE
AUTOMATIC-GENERATION CONTROL
STABILITY ANALYSIS
POWER-SYSTEMS
ISLANDED MICROGRIDS
ECONOMIC-DISPATCH
OUTPUT AGREEMENT
NETWORKS
GRIDS
SYNCHRONIZATION

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title = "Exponential convergence under distributed averaging integral frequency control",

abstract = "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 convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions. (C) 2018 Elsevier Ltd. All rights reserved.",

keywords = "Lyapunov methods, Networked systems, Power networks, Robustness analysis, Cyber-physical systems, DENIAL-OF-SERVICE, AUTOMATIC-GENERATION CONTROL, STABILITY ANALYSIS, POWER-SYSTEMS, ISLANDED MICROGRIDS, ECONOMIC-DISPATCH, OUTPUT AGREEMENT, NETWORKS, GRIDS, SYNCHRONIZATION",

author = "Erik Weitenberg and {De Persis}, Claudio and Nima Monshizadeh",

year = "2018",

month = dec,

doi = "10.1016/j.automatica.2018.09.010",

language = "English",

volume = "98",

pages = "103--113",

journal = "Automatica",

issn = "0005-1098",

publisher = "PERGAMON-ELSEVIER SCIENCE LTD",

}

TY - JOUR

T1 - Exponential convergence under distributed averaging integral frequency control

AU - Weitenberg, Erik

AU - De Persis, Claudio

AU - Monshizadeh, Nima

PY - 2018/12

Y1 - 2018/12

N2 - 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 convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions. (C) 2018 Elsevier Ltd. All rights reserved.

AB - 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 convergence rate of the closed-loop system. As an application, we study the stability of the system in the presence of disruptions to the controllers' communication network, and investigate how the convergence rate is affected by these disruptions. (C) 2018 Elsevier Ltd. All rights reserved.

KW - Lyapunov methods

KW - Networked systems

KW - Power networks

KW - Robustness analysis

KW - Cyber-physical systems

KW - DENIAL-OF-SERVICE

KW - AUTOMATIC-GENERATION CONTROL

KW - STABILITY ANALYSIS

KW - POWER-SYSTEMS

KW - ISLANDED MICROGRIDS

KW - ECONOMIC-DISPATCH

KW - OUTPUT AGREEMENT

KW - NETWORKS

KW - GRIDS

KW - SYNCHRONIZATION

U2 - 10.1016/j.automatica.2018.09.010

DO - 10.1016/j.automatica.2018.09.010

M3 - Article

SN - 0005-1098

VL - 98

SP - 103

EP - 113

JO - Automatica

JF - Automatica

ER -

Exponential convergence under distributed averaging integral frequency control

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Keywords

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