Parametric Identification of Hybrid Linear-Time-Periodic Systems

Uyanik I., SARANLI U., Morgul O., Aukarah M. M.

6th IFAC Symposium on System Structure and Control (SSSC), İstanbul, Turkey, 22 - 24 June 2016, vol.49, pp.7-12 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 49
  • Doi Number: 10.1016/j.ifacol.2016.07.479
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.7-12
  • Keywords: Linear time periodic systems, state-space identification, hybrid systems, VARYING SYSTEMS, MODEL
  • Middle East Technical University Affiliated: Yes

Abstract

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. (C) 2016, IFAC (International Federation of AutomaticControl) Hosting by Elsevier Ltd. All rights reserved.