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: | |
% 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={https://old.control.ee.ethz.ch/index.cgi?page=publications;action=details;id=4055}
} | |