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Subspace Identification for Linear Periodically Time-varying Systems

Jhinaoui, Ahmed and Mevel, Laurent and Morlier, Joseph Subspace Identification for Linear Periodically Time-varying Systems. (2012) In: 16th IFAC Symposium on System Identification, 11 July 2012 - 13 July 2012 (Brussels, Belgium).

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Official URL: http://dx.doi.org/10.3182/20120711-3-BE-2027.00148


In this paper, an extension of the output-only subspace identification, to the class of linear periodically time-varying (LPTV) systems, is proposed. The goal is to identify a useful information about the system’s stability using the Floquet theory which gives a necessary and sufficient condition for stability analysis. This information is retrieved from a matrix called the monodromy matrix, which is extracted by some simultaneous singular value decompositions (SVD) and from a resolution of a least squares criterion. The method is, finally, illustrated by a simulation of a model of a helicopter with a hinged-blades rotor.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-01853132
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:16 Nov 2012 09:03

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