Frequency-Domain Subspace Identification of Linear Time-Periodic (LTP) Systems

This paper proposes a new methodology for subs-pace-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 an unknown LTP system as if they were collected from an...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2019-06, Vol.64 (6), p.2529-2536
Main Authors: Uyanik, Ismail, Saranli, Uluc, Ankarali, Mustafa Mert, Cowan, Noah J., Morgul, Omer
Format: Article
Language:English
Subjects:
Equivalence
Fourier series
Frequency domain analysis
Harmonic analysis
Identification methods
Linear systems
Linear time-periodic (LTP) systems
State-space methods
Subspace methods
System identification
time-varying systems
Transforms
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Summary:This paper proposes a new methodology for subs-pace-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 an unknown LTP system as if they were collected from an equivalent LTI system. Then, we use frequency-domain subspace identification methods to find the 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 obtain state-space estimates for unknown LTP systems as well as to obtain Floquet transforms for known LTP systems.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2867360