Frequency-domain analysis of linear time-periodic systems
2005 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 50, no 12, 1971-1983 p.Article in journal (Refereed) Published
In this paper, we study convergence of truncated representations of the frequency-response operator of a linear time-periodic system. The frequency-response operator is frequently called the harmonic transfer function. We introduce the concepts of input, output, and skew roll-off. These concepts are related to the decay rates of elements in the harmonic transfer function. A system with high input and output roll-off may be well approximated by a low-dimensional matrix function. A system with high skew roll-off may be represented by an operator with only few diagonals. Furthermore, the roll-off rates are shown to be determined by certain properties of Taylor and Fourier expansions of the periodic systems. Finally, we clarify the connections between the different methods for computing the harmonic transfer function that are suggested in the literature.
Place, publisher, year, edition, pages
2005. Vol. 50, no 12, 1971-1983 p.
convergence analysis, frequency-response operators, linear time-periodic systems, series expansions, sampled-data systems, response operators, h(infinity), infinity, h(2), controllers, norm, h-2
IdentifiersURN: urn:nbn:se:kth:diva-15259DOI: 10.1109/TAC.2005.860294ISI: 000234062800004ScopusID: 2-s2.0-30344466922OAI: oai:DiVA.org:kth-15259DiVA: diva2:333300
QC 201111102010-08-052010-08-052016-06-01Bibliographically approved