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      Frequency-domain subspace ıdentification of linear time periodic (LTP) systems

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      Author(s)
      Uyanik, I.
      Saranli, U.
      Ankaralı, M.
      Cowan, N. J.
      Morgül, Ömer
      Date
      2019
      Source Title
      IEEE Transactions on Automatic Control
      Print ISSN
      0018-9286
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      64
      Issue
      6
      Pages
      2529 - 2536
      Language
      English
      Type
      Article
      Item Usage Stats
      226
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      306
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      Abstract
      This note proposes a new methodology for subspace-based state-space identification for linear time-periodic (LTP) systems. Since LTP systems can be lifted to equivalent linear time-invariant (LTI) systems, we first lift input-output data from the unknown LTP system as if it was collected from an equivalent LTI system. Then, we use frequency-domain subspace identification methods to find an LTI system estimate. Subsequently, we propose a novel method to obtain a time-periodic realization for the estimated lifted LTI system by exploiting the specific parametric structure of Fourier series coefficients of the frequency-domain lifting method. Our method can be used to both obtain state-space estimates for unknown LTP systems as well as to obtain Floquet transforms for known LTP systems. IEEE
      Keywords
      linear time-periodic systems
      Subspace methods
      System identification
      Timevarying systems
      Permalink
      http://hdl.handle.net/11693/50242
      Published Version (Please cite this version)
      https://doi.org/10.1109/TAC.2018.2867360
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      • Department of Electrical and Electronics Engineering 4011
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