Synchronization Analysis of the Supermarket Refrigeration System

Rafal Wisniewski; Liang Chen; Lars Finn Sloth Larsen

doi:10.1109/CDC.2009.5400589

Synchronization Analysis of the Supermarket Refrigeration System

Rafal Wisniewski, Liang Chen, Lars Finn Sloth Larsen

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

3 Citations (Scopus)

Abstract

The supermarket refrigeration system typically has a distributed control structure, which neglects interactions between its subsystems. These interactions from time to time lead to a synchronization operation of the display-cases which causes an inferior control performance and increased energy consumption. The paper focuses on synchronization dynamics of the refrigeration system modeled as a piecewiseaffine switched system. Stability analysis is performed bygluing the subsystems and polyhedra together to form a single dynamical system defined on a coherent state space. Then, system behavior is analyzed using the bifurcation and chaos theory. It is demonstrated that the system can have a complex chaotic behavior, which is far from the synchronization. This shows that making the system chaotic is a good choice for a de-synchronization strategy. The positive maximum Lyapunov exponent is usually taken as an indication of the existence of chaos. It is used in the paper as a measure of performance for the tendency of the system to synchronize, that is, the higher value of the maximum Lyapunov exponent the lower risk for synchronization.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009
Publisher	IEEE
Publication date	2009
Pages	5562 - 5567
ISBN (Print)	978-1-4244-3871-6
DOIs	https://doi.org/10.1109/CDC.2009.5400589
Publication status	Published - 2009
Event	48^th IEEE Conference on Decision and Control - Shanghai, China Duration: 16 Dec 2009 → 18 Dec 2009

Conference

Conference	48^th IEEE Conference on Decision and Control
Country/Territory	China
City	Shanghai
Period	16/12/2009 → 18/12/2009

Keywords

control
hybrid systems

Access to Document

10.1109/CDC.2009.5400589

AUB Link

Search for the material in Aalborg University Library's search engine

Cite this

@inproceedings{5c4a16e0053111df9046000ea68e967b,

title = "Synchronization Analysis of the Supermarket Refrigeration System",

abstract = "The supermarket refrigeration system typically has a distributed control structure, which neglects interactions between its subsystems. These interactions from time to time lead to a synchronization operation of the display-cases which causes an inferior control performance and increased energy consumption. The paper focuses on synchronization dynamics of the refrigeration system modeled as a piecewiseaffine switched system. Stability analysis is performed bygluing the subsystems and polyhedra together to form a single dynamical system defined on a coherent state space. Then, system behavior is analyzed using the bifurcation and chaos theory. It is demonstrated that the system can have a complex chaotic behavior, which is far from the synchronization. This shows that making the system chaotic is a good choice for a de-synchronization strategy. The positive maximum Lyapunov exponent is usually taken as an indication of the existence of chaos. It is used in the paper as a measure of performance for the tendency of the system to synchronize, that is, the higher value of the maximum Lyapunov exponent the lower risk for synchronization.",

keywords = "kontrol, hybride systemer, control, hybrid systems",

author = "Rafal Wisniewski and Liang Chen and Larsen, {Lars Finn Sloth}",

year = "2009",

doi = "10.1109/CDC.2009.5400589",

language = "English",

isbn = "978-1-4244-3871-6",

pages = "5562 -- 5567",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009",

publisher = "IEEE",

address = "United States",

note = "48<sup>th</sup> IEEE Conference on Decision and Control ; Conference date: 16-12-2009 Through 18-12-2009",

}

Wisniewski, R, Chen, L & Larsen, LFS 2009, Synchronization Analysis of the Supermarket Refrigeration System. in Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. IEEE, pp. 5562 - 5567, 48^th IEEE Conference on Decision and Control, Shanghai, China, 16/12/2009. https://doi.org/10.1109/CDC.2009.5400589

Synchronization Analysis of the Supermarket Refrigeration System. / Wisniewski, Rafal; Chen, Liang; Larsen, Lars Finn Sloth.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. IEEE, 2009. p. 5562 - 5567.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - Synchronization Analysis of the Supermarket Refrigeration System

AU - Wisniewski, Rafal

AU - Chen, Liang

AU - Larsen, Lars Finn Sloth

PY - 2009

Y1 - 2009

N2 - The supermarket refrigeration system typically has a distributed control structure, which neglects interactions between its subsystems. These interactions from time to time lead to a synchronization operation of the display-cases which causes an inferior control performance and increased energy consumption. The paper focuses on synchronization dynamics of the refrigeration system modeled as a piecewiseaffine switched system. Stability analysis is performed bygluing the subsystems and polyhedra together to form a single dynamical system defined on a coherent state space. Then, system behavior is analyzed using the bifurcation and chaos theory. It is demonstrated that the system can have a complex chaotic behavior, which is far from the synchronization. This shows that making the system chaotic is a good choice for a de-synchronization strategy. The positive maximum Lyapunov exponent is usually taken as an indication of the existence of chaos. It is used in the paper as a measure of performance for the tendency of the system to synchronize, that is, the higher value of the maximum Lyapunov exponent the lower risk for synchronization.

AB - The supermarket refrigeration system typically has a distributed control structure, which neglects interactions between its subsystems. These interactions from time to time lead to a synchronization operation of the display-cases which causes an inferior control performance and increased energy consumption. The paper focuses on synchronization dynamics of the refrigeration system modeled as a piecewiseaffine switched system. Stability analysis is performed bygluing the subsystems and polyhedra together to form a single dynamical system defined on a coherent state space. Then, system behavior is analyzed using the bifurcation and chaos theory. It is demonstrated that the system can have a complex chaotic behavior, which is far from the synchronization. This shows that making the system chaotic is a good choice for a de-synchronization strategy. The positive maximum Lyapunov exponent is usually taken as an indication of the existence of chaos. It is used in the paper as a measure of performance for the tendency of the system to synchronize, that is, the higher value of the maximum Lyapunov exponent the lower risk for synchronization.

KW - kontrol

KW - hybride systemer

KW - control

KW - hybrid systems

U2 - 10.1109/CDC.2009.5400589

DO - 10.1109/CDC.2009.5400589

M3 - Article in proceeding

SN - 978-1-4244-3871-6

SP - 5562

EP - 5567

BT - Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009

PB - IEEE

T2 - 48<sup>th</sup> IEEE Conference on Decision and Control

Y2 - 16 December 2009 through 18 December 2009

ER -

Synchronization Analysis of the Supermarket Refrigeration System

Abstract

Conference

Keywords

Access to Document

AUB Link

Fingerprint

Cite this