Subspace Identification for Linear Periodically Time-varying Systems

Ahmed Jhinaoui 1 Laurent Mevel 1 Joseph Morlier 2
1 I4S - Statistical Inference for Structural Health Monitoring
IFSTTAR/COSYS - Département Composants et Systèmes, Inria Rennes – Bretagne Atlantique
Abstract : 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.
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Ahmed Jhinaoui, Laurent Mevel, Joseph Morlier. Subspace Identification for Linear Periodically Time-varying Systems. 16th IFAC Symposium on System Identification, Jul 2012, Bruxelles, Belgium. pp.1282-1287, ⟨10.3182/20120711-3-BE-2027.00148⟩. ⟨hal-01853132⟩

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