Fixed-structure sparse control of interconnected systems with polytopic uncertainty

Mahdieh Sadat Sadabadi; Alireza Karimi

doi:10.3182/20140824-6-za-1003.00789

Fixed-structure sparse control of interconnected systems with polytopic uncertainty

Mahdieh Sadat Sadabadi, Alireza Karimi

EEE - Academic & Research

Ecole Polytechnique Federale de Lausanne (EPFL)

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

Abstract

This paper deals with the problem of sparse H_∞ dynamic output-feedback control of LTI interconnected systems with polytopic uncertainty. The main objective is to find a controller structure with minimum information exchange between subsystems and local controllers such that stability condition as well as an H_∞ performance criterion are satisfied. To this end, an optimization problem is defined which is the minimization of the cardinality of a special matrix subject to an H_∞ performance constraint. Then, the problem is approximated by a convex optimization. The effectiveness of the proposed approach is evaluated through some simulation results.

Original language	English
Title of host publication	19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014
Subtitle of host publication	Proceedings
Editors	Edward Boje, Xiaohua Xia
Publisher	International Federation of Automatic Control (IFAC)
Pages	2588-2593
Number of pages	6
ISBN (Electronic)	9783902823625
DOIs	https://doi.org/10.3182/20140824-6-za-1003.00789
Publication status	Published - Sept 2014
Event	19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa Duration: 24 Aug 2014 → 29 Aug 2014

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Publisher	International Federation of Automatic Control
Number	3
Volume	47
ISSN (Print)	1474-6670

Conference

Conference	19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/Territory	South Africa
City	Cape Town
Period	24/08/14 → 29/08/14

Access to Document

10.3182/20140824-6-za-1003.00789

Cite this

Sadabadi, M. S., & Karimi, A. (2014). Fixed-structure sparse control of interconnected systems with polytopic uncertainty. In E. Boje, & X. Xia (Eds.), 19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014: Proceedings (pp. 2588-2593). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 47, No. 3). International Federation of Automatic Control (IFAC). https://doi.org/10.3182/20140824-6-za-1003.00789

Sadabadi, Mahdieh Sadat ; Karimi, Alireza. / Fixed-structure sparse control of interconnected systems with polytopic uncertainty. 19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014: Proceedings. editor / Edward Boje ; Xiaohua Xia. International Federation of Automatic Control (IFAC), 2014. pp. 2588-2593 (IFAC Proceedings Volumes (IFAC-PapersOnline); 3).

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title = "Fixed-structure sparse control of interconnected systems with polytopic uncertainty",

abstract = "This paper deals with the problem of sparse H∞ dynamic output-feedback control of LTI interconnected systems with polytopic uncertainty. The main objective is to find a controller structure with minimum information exchange between subsystems and local controllers such that stability condition as well as an H∞ performance criterion are satisfied. To this end, an optimization problem is defined which is the minimization of the cardinality of a special matrix subject to an H∞ performance constraint. Then, the problem is approximated by a convex optimization. The effectiveness of the proposed approach is evaluated through some simulation results.",

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Sadabadi, MS & Karimi, A 2014, Fixed-structure sparse control of interconnected systems with polytopic uncertainty. in E Boje & X Xia (eds), 19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014: Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), no. 3, vol. 47, International Federation of Automatic Control (IFAC), pp. 2588-2593, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 24/08/14. https://doi.org/10.3182/20140824-6-za-1003.00789

Fixed-structure sparse control of interconnected systems with polytopic uncertainty. / Sadabadi, Mahdieh Sadat; Karimi, Alireza.
19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014: Proceedings. ed. / Edward Boje; Xiaohua Xia. International Federation of Automatic Control (IFAC), 2014. p. 2588-2593 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 47, No. 3).

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

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Sadabadi MS, Karimi A. Fixed-structure sparse control of interconnected systems with polytopic uncertainty. In Boje E, Xia X, editors, 19th IFAC World Congress IFAC 2014, Cape Town, South Africa, 24-29 August 2014: Proceedings. International Federation of Automatic Control (IFAC). 2014. p. 2588-2593. (IFAC Proceedings Volumes (IFAC-PapersOnline); 3). doi: 10.3182/20140824-6-za-1003.00789

Fixed-structure sparse control of interconnected systems with polytopic uncertainty

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