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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 Jan - 02 Feb 2012, Jacksonville, United States .

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

Abstract

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)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
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Deposited By:Joseph Morlier

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