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
2 ICA - Institut Clément Ader

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.

Mots clés: Subspace methods; Stability analysis; Helicopter dynamics; Time-varying systems; Periodic motions

Domaines: Mécanique des structures [physics.class-ph]

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⟩