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Dynamic Phasor Analysis of Pulse-Modulated Systems

Author(s):

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

SIAM Journal on Control and Optimization, vol. 50, no. 3, pp. 1110-1138
Abstract:

The paper considers stability and harmonic analysis of a general class of pulse-modulated systems. The systems are modeled using the dynamic phasor model which explores the cyclic nature of the modulation functions by representing the system state as a Fourier series expansion defined over a moving time window. The contribution of the paper is to show that a special type of periodic Lyapunov function can be used to analyze the system and that the analysis conditions become tractable for computation after truncation. The approach provides a trade-off between complexity and accuracy that includes standard state space averaged models as a special case. The paper also shows how the dynamic phasor model can be used to derive a frequency domain input-to-state map which is analogous to the harmonic transfer function.

Year:

2012
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { AlmJ_n:2012:IFA_4055,
    author={S. Alm{\'e}r and U.T. J{\"o}nsson},
    title={{Dynamic Phasor Analysis of Pulse-Modulated Systems}},
    journal={SIAM Journal on Control and Optimization},
    year={2012},
    volume={50},
    number={3},
    pages={1110--1138},
    month=may,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4055}
}
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