Frequency-Domain Subspace Identification of Linear Time-Periodic (LTP) Systems
| Autor: | Ömer Morgül, Uluc Saranli, M. Mert Ankarali, Ismail Uyanik, Noah J. Cowan |
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| Přispěvatelé: | Morgül, Ömer |
| Rok vydání: | 2019 |
| Předmět: |
Floquet theory
Computer science Linear system System identification Timevarying systems linear time-periodic systems Subspace methods Computer Science Applications LTI system theory Harmonic analysis Control and Systems Engineering Frequency domain Electrical and Electronic Engineering Algorithm Fourier series Subspace topology Parametric statistics |
| Zdroj: | IEEE Transactions on Automatic Control |
| ISSN: | 2334-3303 0018-9286 |
| DOI: | 10.1109/tac.2018.2867360 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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