Frequency-Domain Analysis of Linear Time-Periodic Systems
Author
Summary, in English
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.
Department/s
Publishing year
2004
Language
English
Pages
3357-3362
Publication/Series
Proceedings of the 2004 American Control Conference.
Volume
4
Links
Document type
Conference paper
Publisher
Boston, Massachusetts
Topic
- Control Engineering
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
Status
Published
ISBN/ISSN/Other
- ISSN: 0743-1619
- ISBN: 0-7803-8335-4