Title 



Estimation of nonparametric harmonic transfer functions for linear periodically timevarying systems using periodic excitations
 
Author 



 
Abstract 



In this paper a nonparametric estimation procedure is proposed in order to identify continuous (discrete)time, linear periodically timevarying (LPTV) systems. Further, multisine excitations are applied onto a LPTV system such that the system transient effects will vanish completely when the system is operating in steady state. The key idea is to decompose a LPTV system into an (in) finite series of transfer functions, the socalled harmonic transfer functions (HTF). From an identification point of view, the parallel structure, which consists of a weighted sum of the HTF's, is truncated to a desirable order. A high quality estimate of the nonparametric HTF's with its uncertainty embedded in an errorsinvariables framework is then obtained from only one experiment; making use of methods, the socalled local polynomial method (LPM), that are recently developed for multivariable linear time invariant systems. The effectiveness of the LPM will be first pointed up through simulations before a real system will be identified. The methodology is then eventually demonstrated on a reallife periodically timevarying electronic system.   
Language 



English
 
Source (journal) 



... IEEE International Instrumentation and Measurement Technology Conference.  Piscataway, NJ, 2008, currens  
Source (book) 



IEEE International Instrumentation and Measurement Technology Conference, (I2MTC), May 1012, 2011, Hangzhou  
Publication 



New York, N.Y. : IEEE, 2011
 
ISBN 



9781424479351
 
Volume/pages 



(2011), p. 699704
 
ISI 



000297171900140
 
