Extension of Subspace Identification to LPTV Systems: Application to Helicopters

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, 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.

Mots clés: Helicopter; Modal analysis; Subspace Identification; LPTV

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

Ahmed Jhinaoui, Laurent Mevel, Joseph Morlier. Extension of Subspace Identification to LPTV Systems: Application to Helicopters. 30th International Modal Analysis Conference (IMAC), Jan 2012, Jacksonville, FL, United States. pp.425-433, ⟨10.1007/978-1-4614-2425-3_40⟩. ⟨hal-01853139⟩