On synthesis of stabilizing distributed controllers with an application to power systems

E.P. van Horssen, M. Lazar, S. Weiland

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
5 Downloads (Pure)

Abstract

This paper presents synthesis results for distributed controllers for interconnected linear time-invariant systems. The setting of the paper is in discrete time. A parameterization of the closed-loop system is used for interconnected systems and distributed static state feedback controllers with an interconnection structure that can be chosen arbitrary in the design phase. Based on conditions for closed-loop stability using centralized static state feedback, computationally tractable synthesis procedures are derived that yield a distributed controller. The synthesis procedures involve convex optimization problems in the form of linear matrix inequalities (LMIs) which are solved in a centralized way. Suggestions are made to reduce the number of independent variables in the problems. An algorithm is presented that uses these synthesis procedures to find a controller with a distributed structure or eliminates candidate controller structures using heuristics. A complexity analysis for the synthesis procedures is incorporated. The synthesis algorithm is illustrated on examples of electric power systems, proving feasibility of the synthesis procedures for real-life applications.
Original languageEnglish
Title of host publicationProceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa
EditorsE. Boje, X. Xia
PublisherIFAC
Pages11917-11925
Number of pages9
ISBN (Print)978-3-902823-62-5
DOIs
Publication statusPublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014) - Cape Town International Convention Centre, Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014
Conference number: 19
http://www.ifac2014.org

Publication series

NameIFAC Proceedings Volumes
PublisherElsevier
Number3
Volume47
ISSN (Electronic)1474-6670

Conference

Conference19th IFAC World Congress on International Federation of Automatic Control ( IFAC 2014)
Abbreviated titleIFAC 2014
CountrySouth Africa
CityCape Town
Period24/08/1429/08/14
Internet address

Fingerprint Dive into the research topics of 'On synthesis of stabilizing distributed controllers with an application to power systems'. Together they form a unique fingerprint.

  • Cite this

    van Horssen, E. P., Lazar, M., & Weiland, S. (2014). On synthesis of stabilizing distributed controllers with an application to power systems. In E. Boje, & X. Xia (Eds.), Proceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa (pp. 11917-11925). (IFAC Proceedings Volumes; Vol. 47, No. 3). IFAC. https://doi.org/10.3182/20140824-6-ZA-1003.01523