Parametric Identification of Hybrid Linear-Time-Periodic Systems

Date

2016-06-24

Author

Uyanik, Ismail
Saranlı, Uluç
Morgul, Omer
Ankaralı, Mustafa Mert

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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In this paper, we present a state-space system identification technique for a class of hybrid LTP systems, formulated in the frequency domain based on input-output data. Other than a few notable exceptions, the majority of studies in the state-space system identification literature (e.g. subspace methods) focus only on LTI systems. Our goal in this study is to develop a technique for estimating time-periodic system and input matrices for a hybrid LTP system, assuming that full state measurements are available. To this end, we formulate our problem in a linear regression framework using Fourier transformations, and estimate Fourier series coefficients of the time-periodic system and input matrices using a least-squares solution. We illustrate the estimation accuracy of our method for LTP system dynamics using a hybrid damped Mathieu function as an example.

Subject Keywords

Linear time periodic systems, State-space identification, Hybrid systems

URI

https://hdl.handle.net/11511/47666

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Department of Computer Engineering, Conference / Seminar