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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Acknowledgement
This work was supported by the European project FP7-NMP CPIP 213968-2 IRIS.
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© 2012 The Society for Experimental Mechanics, Inc. 2012
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Jhinaoui, A., Mevel, L., Morlier, J. (2012). Extension of Subspace Identification to LPTV Systems: Application to Helicopters. In: Allemang, R., De Clerck, J., Niezrecki, C., Blough, J. (eds) Topics in Modal Analysis I, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2425-3_40
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DOI: https://doi.org/10.1007/978-1-4614-2425-3_40
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