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Proceedings Paper

Lyapunov stability of periodically modulated cosine drivers for resonance tuning of harmonic oscillators
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Paper Abstract

Resonance tracking control of harmonic oscillators whose natural frequency is unknown is investigated from a Lyapunov stability perspective. In particular, a periodically-modulated cosine driver (PMCD) is investigated for this purpose. The proposed resonance tuner is time-synchronized with periodic sampling of the harmonic oscillator's output to ensure that an analytical relationship exists between the drive frequency and the tracking error. This relation defines a class of discrete time nonlinear systems whose origin, is shown to be asymptotically stable.

Paper Details

Date Published: 18 April 2007
PDF: 11 pages
Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230B (18 April 2007); doi: 10.1117/12.716403
Show Author Affiliations
J. B. Aldrich, Jet Propulsion Lab. (United States)
S. Sherrit, Jet Propulsion Lab. (United States)
X. Bao, Jet Propulsion Lab. (United States)
M. Badescu, Jet Propulsion Lab. (United States)
Y. Bar-Cohen, Jet Propulsion Lab. (United States)
Z. Chang, Jet Propulsion Lab. (United States)


Published in SPIE Proceedings Vol. 6523:
Modeling, Signal Processing, and Control for Smart Structures 2007
Douglas K. Lindner, Editor(s)

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