Dynamic Phasor Analysis of Periodic Systems
2009 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 54, no 8, 2007-2012 p.Article in journal (Refereed) Published
The paper considers stability analysis of linear time-periodic (LTP) systems based on the dynamic phasor model (DPM). The DPM exploits the periodicity of the system by expanding the system state in a Fourier series over a moving time window. This results in an L-2-equivalent representation in terms of an infinite-dimensional LTI system which describes the evolution of time varying Fourier coefficients. To prove stability, we consider quadratic time-periodic Lyapunov candidates. Using the DPM, the corresponding time-periodic Lyapunov inequality can be stated as a finite dimensional inequality and the Lyapunov function can be found by solving a linear matrix inequality.
Place, publisher, year, edition, pages
2009. Vol. 54, no 8, 2007-2012 p.
Dynamic phasor model, harmonic Lyapunov functions, linear time-periodic, systems, stability analysis
IdentifiersURN: urn:nbn:se:kth:diva-18669DOI: 10.1109/tac.2009.2023970ISI: 000268756200036ScopusID: 2-s2.0-68949170687OAI: oai:DiVA.org:kth-18669DiVA: diva2:336716
QC 201005252010-08-052010-08-052010-12-10Bibliographically approved