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Extension of Subspace Identification to LPTV Systems: Application to Helicopters

Jhinaoui, Ahmed and Mevel, Laurent and Morlier, Joseph Extension of Subspace Identification to LPTV Systems: Application to Helicopters. (2012) In: 30th International Modal Analysis Conference (IMAC), 30 January 2012 - 2 February 2012 (Jacksonville, United States).

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Official URL: http://dx.doi.org/10.1007/978-1-4614-2425-3_40


In this paper, we focus on extending the subspace identification to the class of linear periodically time-varying (LPTV) systems. The Lyapunov-Floquet transformation is first applied to the system’s state-space model in order to get the monodromy matrix (MM) and, thus, a necessary and sufficient condition for system stability. Then, given two successive covariance-driven Hankel matrices, the MM matrix is extracted by some calculus of a simultaneous singular value decomposition (SVD) and a least square optimization. The method is illustrated by a simulation application to the model of a hinged-blades helicopter.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-01853139
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 10:50

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