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Relative Gain Array Estimation Based on Non-Parametric Frequency Domain System Identification
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0001-7598-4815
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-5888-8626
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-0079-9049
2014 (English)In: 2014 IEEE International Conference on Control Applications (CCA 2014): Juan Les Antibes, France, 8 -10 October 2014, Piscataway, NJ: IEEE Communications Society, 2014, p. 110-115Conference paper, Published paper (Refereed)
Abstract [en]

Since the introduction of the Relative Gain Array (RGA) by Bristol in 1966, it has received a high level of attention as a practical tool for solving the input-output pairing problem in decentralized control. Moreover, many extensions have been proposed like e.g. for the dynamic case and non-square system matrices. Recently, extensions that provide tools for uncertain parametric process models were suggested. In order to removethe dependency of these tools on a parametric description and accurate knowledge of a nominal model this paper proposes a method to calculate the RGA directly from a non-parametric frequency response matrix (FRM), derived from frequency domain system identification approach. The proposed method reduces the influence of model uncertainties on the calculation of the RGA and derives the RGA at frequencies of interest. Using Monte-Carlo principles, the variance of the estimated RGA is derived and compared with recently proposed methods. The results are exemplified on 2 by 2, 2 by 3 and 3 by 3 systems. It concluded that the proposed methods performs well and robust, while simplifying the estimation of the RGA.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2014. p. 110-115
Series
I E E E International Conference on Control Applications. Proceedings, ISSN 1085-1992
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-32448DOI: 10.1109/CCA.2014.6981337Scopus ID: 84920546131Local ID: 6f2a7e8e-595c-4877-b2a4-64ddeb6df269ISBN: 9781467345033 (print)OAI: oai:DiVA.org:ltu-32448DiVA, id: diva2:1005682
Conference
IEEE International Conference on Control Applications : 08/10/2014 - 10/10/2014
Note
Validerad; 2016; Nivå 1; 20140825 (alikad)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-25Bibliographically approved

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Kadhim, AliBirk, WolfgangGustafsson, Thomas

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