DocumentCode
2477095
Title
Harmonic Lyapunov Functions in the Analysis of Periodically Switched Systems
Author
Almér, S. ; Jönsson, U.T.
Author_Institution
Div. of Optimization & Syst. Theor., R. Inst. of Technol., Stockholm, Sweden
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
2759
Lastpage
2764
Abstract
The dynamic phasor model of a time-periodic system is used to derive a stability test involving a harmonic Lyapunov function. This reveals a new interpretation of the harmonic Lyapunov function with an appealing time-domain representation. Most importantly, it indicates that the ideas behind the harmonic Lyapunov equation can be generalized to include cyclic switching systems that have different pulse form in each period.
Keywords
Lyapunov methods; harmonic analysis; periodic control; stability; time-domain analysis; time-varying systems; cyclic switching system; dynamic phasor model; harmonic Lyapunov functions; periodically switched system; stability test; time-domain representation; time-periodic system; Harmonic analysis; Lyapunov method; Power electronics; Power system modeling; Pulse width modulation; Space vector pulse width modulation; Stability; Switched systems; Switching systems; Time domain analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377070
Filename
4177684
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