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Subtleties in the averaging of hybrid systems with applications to power electronics
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2006 (English)In: Analysis and Design of Hybrid Systems 2006, Elsevier, 2006, 247-252 p.Chapter in book (Other academic)
Abstract [en]

Dither signals are commonly used in electronics for implementing different type of modulations in power converters, which represent a very interesting class of hybrid systems. It was recently shown that a non-smooth dithered system can be approximated by an averaged system if the dither frequency is sufficiently high and that the amplitude distribution function of the dither is continuous and has bounded derivative. In power electronics, a large class of systems can be modeled as hybrid dynamical systems due to the presence of switching devices (for instance diodes or transistors) that "instantaneously" change the dynamical behavior of the system. This class of systems can be adequately represented by hybrid systems or nonlinear differential equations with discontinuous nonlinearities. One of the standard approaches for designing control algorithms for power converters is to use modulation schemes (e.g. pulse width modulation, PWM).

Place, publisher, year, edition, pages
Elsevier, 2006. 247-252 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 14746670
National Category
Vehicle Engineering
URN: urn:nbn:se:kth:diva-155037DOI: 10.1016/B978-008044613-4.50044-6ScopusID: 2-s2.0-84882511531ISBN: 9780080446134OAI: diva2:759470

QC 20141104

Available from: 2014-10-30 Created: 2014-10-29 Last updated: 2014-11-04Bibliographically approved

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Johansson, Karl HenrikJönsson, Ulf T.
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