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Dynamic Phasor Analysis of Periodic Systems

Author(s):

S. Almér, U.T. Jönsson
Conference/Journal:

IEEE Transactions on Automatic Control, vol. 54, no. 8, pp. 2007-2012
Abstract:

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 􀀀 -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.

Year:

2009
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { AlmJ_n:2009:IFA_3836,
    author={S. Alm{\'e}r and U.T. J{\"o}nsson},
    title={{Dynamic Phasor Analysis of Periodic Systems}},
    journal={IEEE Transactions on Automatic Control},
    year={2009},
    volume={54},
    number={8},
    pages={2007--2012},
    month=aug,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3836}
}
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