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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377070
