Frequency-Domain Analysis of Linear Time-Periodic Systems
(2004) 4. p.3357-3362- Abstract
- In this paper we study how a system with a time-periodic impulse response may be expanded into a sum of modulated time-invariant systems. This allows us to define a linear frequency-response operator for periodic systems, called the harmonic transfer function (HTF). Similar frequency-response operators have been derived before for sampled-data systems and periodic finite-dimensional state-space systems. The HTF is an infinite-dimensional operator that captures the frequency coupling of a time-periodic system. The paper includes analysis of convergence of truncated HTFs. For this reason the concepts of input/output roll-off are developed and related to time-varying Markov parameters.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/536045
- author
- Sandberg, Henrik LU ; Möllerstedt, Erik and Bernhardsson, Bo LU
- organization
- publishing date
- 2004
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- state-space methods, sampled data systems, periodic control, multidimensional systems, linear systems, harmonic analysis, frequency-domain analysis, frequency response, Markov processes, convergence, time-varying systems, transient response, transfer functions
- host publication
- Proceedings of the 2004 American Control Conference.
- volume
- 4
- pages
- 3357 - 3362
- publisher
- Boston, Massachusetts
- external identifiers
-
- wos:000224688300570
- scopus:8744231805
- ISSN
- 0743-1619
- ISBN
- 0-7803-8335-4
- language
- English
- LU publication?
- yes
- id
- 96b43cee-30d2-48d7-abb1-ddd249219c87 (old id 536045)
- alternative location
- http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1384427
- date added to LUP
- 2016-04-01 16:15:15
- date last changed
- 2022-01-28 18:23:09
@inproceedings{96b43cee-30d2-48d7-abb1-ddd249219c87, abstract = {{In this paper we study how a system with a time-periodic impulse response may be expanded into a sum of modulated time-invariant systems. This allows us to define a linear frequency-response operator for periodic systems, called the harmonic transfer function (HTF). Similar frequency-response operators have been derived before for sampled-data systems and periodic finite-dimensional state-space systems. The HTF is an infinite-dimensional operator that captures the frequency coupling of a time-periodic system. The paper includes analysis of convergence of truncated HTFs. For this reason the concepts of input/output roll-off are developed and related to time-varying Markov parameters.}}, author = {{Sandberg, Henrik and Möllerstedt, Erik and Bernhardsson, Bo}}, booktitle = {{Proceedings of the 2004 American Control Conference.}}, isbn = {{0-7803-8335-4}}, issn = {{0743-1619}}, keywords = {{state-space methods; sampled data systems; periodic control; multidimensional systems; linear systems; harmonic analysis; frequency-domain analysis; frequency response; Markov processes; convergence; time-varying systems; transient response; transfer functions}}, language = {{eng}}, pages = {{3357--3362}}, publisher = {{Boston, Massachusetts}}, title = {{Frequency-Domain Analysis of Linear Time-Periodic Systems}}, url = {{http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1384427}}, volume = {{4}}, year = {{2004}}, }