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Dynamic Phasor Anal...
Dynamic Phasor Analysis of Periodic Systems
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- Almér, Stefan (författare)
- KTH,Optimeringslära och systemteori
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- Jönsson, Ulf T. (författare)
- KTH,Optimeringslära och systemteori
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2009
- 2009
- Engelska.
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Ingår i: IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9286 .- 1558-2523. ; 54:8, s. 2007-2012
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Nyckelord
- Dynamic phasor model
- harmonic Lyapunov functions
- linear time-periodic
- systems
- stability analysis
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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