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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
IFSTTAR/COSYS - Département Composants et Systèmes, Inria Rennes – Bretagne Atlantique
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.
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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⟩



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