Approximate dissipativity and performance bounds for interconnected systems

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Authors

Research Organisations

External Research Organisations

  • University of Stuttgart
View graph of relations

Details

Original languageEnglish
Title of host publication2019 18th European Control Conference (ECC)
Subtitle of host publicationProceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages787-792
Number of pages6
ISBN (electronic)978-3-907144-00-8
ISBN (print)978-1-7281-1314-2
Publication statusPublished - Jun 2019
Event2019 European Control Conference (ECC) - Naples, Italy
Duration: 25 Jun 201928 Jun 2019

Abstract

We consider the interconnection of dissipative systems through coupling costs in a distributed economic MPC context. Our goal is to provide a structured dissipativity property for the overall system emerging from the subsystems' local dissiaptivity properties and their interconnection. However, following this bottom-up approach, only in very few cases we can expect to establish dissipativity of the overall system based on a minimal set of assumptions. Hence, in this work we introduce the concept of approximate dissipativity, which still allows us to make statements on the system performance, albeit somewhat unsharp. We verify approximate dissipativity for the overall system under cost interconnection of the subsystems, and we demonstrate how this concept can constructively be exploited when adding a new subsystem to the network.

ASJC Scopus subject areas

Cite this

Approximate dissipativity and performance bounds for interconnected systems. / Köhler, Philipp N.; Müller, Matthias A.; Allgöwer, Frank.
2019 18th European Control Conference (ECC): Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 787-792 8796123.

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Köhler, PN, Müller, MA & Allgöwer, F 2019, Approximate dissipativity and performance bounds for interconnected systems. in 2019 18th European Control Conference (ECC): Proceedings., 8796123, Institute of Electrical and Electronics Engineers Inc., pp. 787-792, 2019 European Control Conference (ECC), Naples, Italy, 25 Jun 2019. https://doi.org/10.23919/ECC.2019.8796123
Köhler, P. N., Müller, M. A., & Allgöwer, F. (2019). Approximate dissipativity and performance bounds for interconnected systems. In 2019 18th European Control Conference (ECC): Proceedings (pp. 787-792). Article 8796123 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8796123
Köhler PN, Müller MA, Allgöwer F. Approximate dissipativity and performance bounds for interconnected systems. In 2019 18th European Control Conference (ECC): Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 787-792. 8796123 doi: 10.23919/ECC.2019.8796123
Köhler, Philipp N. ; Müller, Matthias A. ; Allgöwer, Frank. / Approximate dissipativity and performance bounds for interconnected systems. 2019 18th European Control Conference (ECC): Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 787-792
Download
@inproceedings{8ba0f032ed53497295c4a0e9e88c82ad,
title = "Approximate dissipativity and performance bounds for interconnected systems",
abstract = "We consider the interconnection of dissipative systems through coupling costs in a distributed economic MPC context. Our goal is to provide a structured dissipativity property for the overall system emerging from the subsystems' local dissiaptivity properties and their interconnection. However, following this bottom-up approach, only in very few cases we can expect to establish dissipativity of the overall system based on a minimal set of assumptions. Hence, in this work we introduce the concept of approximate dissipativity, which still allows us to make statements on the system performance, albeit somewhat unsharp. We verify approximate dissipativity for the overall system under cost interconnection of the subsystems, and we demonstrate how this concept can constructively be exploited when adding a new subsystem to the network.",
author = "K{\"o}hler, {Philipp N.} and M{\"u}ller, {Matthias A.} and Frank Allg{\"o}wer",
note = "Funding information: They thank the German Research Foundation (DFG) for support of this work within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.; 2019 European Control Conference (ECC) ; Conference date: 25-06-2019 Through 28-06-2019",
year = "2019",
month = jun,
doi = "10.23919/ECC.2019.8796123",
language = "English",
isbn = "978-1-7281-1314-2",
pages = "787--792",
booktitle = "2019 18th European Control Conference (ECC)",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

Download

TY - GEN

T1 - Approximate dissipativity and performance bounds for interconnected systems

AU - Köhler, Philipp N.

AU - Müller, Matthias A.

AU - Allgöwer, Frank

N1 - Funding information: They thank the German Research Foundation (DFG) for support of this work within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.

PY - 2019/6

Y1 - 2019/6

N2 - We consider the interconnection of dissipative systems through coupling costs in a distributed economic MPC context. Our goal is to provide a structured dissipativity property for the overall system emerging from the subsystems' local dissiaptivity properties and their interconnection. However, following this bottom-up approach, only in very few cases we can expect to establish dissipativity of the overall system based on a minimal set of assumptions. Hence, in this work we introduce the concept of approximate dissipativity, which still allows us to make statements on the system performance, albeit somewhat unsharp. We verify approximate dissipativity for the overall system under cost interconnection of the subsystems, and we demonstrate how this concept can constructively be exploited when adding a new subsystem to the network.

AB - We consider the interconnection of dissipative systems through coupling costs in a distributed economic MPC context. Our goal is to provide a structured dissipativity property for the overall system emerging from the subsystems' local dissiaptivity properties and their interconnection. However, following this bottom-up approach, only in very few cases we can expect to establish dissipativity of the overall system based on a minimal set of assumptions. Hence, in this work we introduce the concept of approximate dissipativity, which still allows us to make statements on the system performance, albeit somewhat unsharp. We verify approximate dissipativity for the overall system under cost interconnection of the subsystems, and we demonstrate how this concept can constructively be exploited when adding a new subsystem to the network.

UR - http://www.scopus.com/inward/record.url?scp=85071539921&partnerID=8YFLogxK

U2 - 10.23919/ECC.2019.8796123

DO - 10.23919/ECC.2019.8796123

M3 - Conference contribution

SN - 978-1-7281-1314-2

SP - 787

EP - 792

BT - 2019 18th European Control Conference (ECC)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 European Control Conference (ECC)

Y2 - 25 June 2019 through 28 June 2019

ER -

By the same author(s)