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Dynamic Phasor Analysis of Periodic Systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
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
Abstract [en]

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.
Keyword [en]
Dynamic phasor model, harmonic Lyapunov functions, linear time-periodic, systems, stability analysis
Identifiers
URN: urn:nbn:se:kth:diva-18669DOI: 10.1109/tac.2009.2023970ISI: 000268756200036Scopus ID: 2-s2.0-68949170687OAI: oai:DiVA.org:kth-18669DiVA: diva2:336716
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2010-12-10Bibliographically approved

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