Parametric Identification of Hybrid Linear-Time-Periodic Systems

İsmail Uyanık, Uluç Saranlı, Ömer Morgϋl, M. Mert Ankaralı

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)7-12
Number of pages6
Issue number9
StatePublished - 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


  • Linear time periodic systems
  • hybrid systems
  • state-space identification


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