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.
Complete list of metadatas

Cited literature [6 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01853139
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Thursday, August 2, 2018 - 3:18:56 PM
Last modification on : Friday, January 10, 2020 - 9:09:43 PM
Long-term archiving on: Saturday, November 3, 2018 - 3:14:55 PM

File

Morlier_6731.pdf
Files produced by the author(s)

Identifiers

Citation

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%2F978-1-4614-2425-3_40⟩. ⟨hal-01853139⟩

Share

Metrics

Record views

84

Files downloads

34