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Allen JCND 2008, Page 1 of 17 Frequency-Domain Identification of Linear Time-Periodic Systems
 

Summary: Allen JCND 2008, Page 1 of 17
Frequency-Domain Identification of Linear Time-Periodic Systems
using LTI Techniques
Matthew S. Allen
Assistant Professor
Department of Engineering Physics
University of Wisconsin-Madison
msallen@engr.wisc.edu
ABSTRACT
A variety of systems can be faithfully modeled as linear with coefficients that vary periodically with
time or Linear Time-Periodic (LTP). Examples include anisotropic rotor-bearing systems, wind turbines
and nonlinear systems linearized about a periodic trajectory; all of these have been treated analytically in
the literature. However, few methods exist for experimentally characterizing LTP systems. This paper
presents a set of tools that can be used to experimentally characterize an LTP system, using a frequency
domain approach and utilizing existing algorithms to perform parameter identification. One of the
approaches is based on lifting the response to obtain an equivalent Linear Time-Invariant (LTI) form and
the other based on Fourier series expansion. The development focuses on the pre-processing steps
needed to apply LTI identification to the measurements, the post-processing needed to reconstruct the
LTP model from the identification results and the interpretation of the measurements. This approach
elucidates the similarities between LTP and LTI identification, allowing the experimentalist to transfer

  

Source: Allen, Matthew S. - Department of Engineering Physics, University of Wisconsin at Madison

 

Collections: Engineering