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

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

doi:10.3182/20140824-6-ZA-1003.01523

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 proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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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 language	English
Title of host publication	Proceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa
Editors	E. Boje, X. Xia
Publisher	IFAC
Pages	11917-11925
Number of pages	9
ISBN (Print)	978-3-902823-62-5
DOIs	https://doi.org/10.3182/20140824-6-ZA-1003.01523
Publication status	Published - 2014
Event	19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress) - Cape Town International Convention Centre, Cape Town, South Africa Duration: 24 Aug 2014 → 29 Aug 2014 Conference number: 19 http://www.ifac2014.org

Publication series

Name	IFAC Proceedings Volumes
Publisher	Elsevier
Number	3
Volume	47
ISSN (Electronic)	1474-6670

Conference

Conference	19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress)
Abbreviated title	IFAC 2014
Country/Territory	South Africa
City	Cape Town
Period	24/08/14 → 29/08/14
Internet address	http://www.ifac2014.org

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10.3182/20140824-6-ZA-1003.01523

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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

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title = "On synthesis of stabilizing distributed controllers with an application to power systems",

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.",

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van Horssen, EP, 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. IFAC Proceedings Volumes, no. 3, vol. 47, IFAC, pp. 11917-11925, 19th World Congress of the International Federation of Automatic Control (IFAC 2014 World Congress), Cape Town, South Africa, 24/08/14. https://doi.org/10.3182/20140824-6-ZA-1003.01523

On synthesis of stabilizing distributed controllers with an application to power systems. / van Horssen, E.P.; Lazar, M.; Weiland, S.

Proceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa. ed. / E. Boje; X. Xia. IFAC, 2014. p. 11917-11925 (IFAC Proceedings Volumes; Vol. 47, No. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - 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.

AB - 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.

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van Horssen EP, Lazar M , Weiland S. On synthesis of stabilizing distributed controllers with an application to power systems. In Boje E, Xia X, editors, Proceedings of the 19th World Congress of The International Federation of Automatic Control (IFAC), August 24-29, 2014, Cape Town, South Africa. IFAC. 2014. p. 11917-11925. (IFAC Proceedings Volumes; 3). doi: 10.3182/20140824-6-ZA-1003.01523

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

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