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

J. B. Aldrich; S. Sherrit; X. Bao; M. Badescu; Y. Bar-Cohen; Z. Chang

doi:10.1117/12.716403

18 April 2007 Lyapunov stability of periodically modulated cosine drivers for resonance tuning of harmonic oscillators

J. B. Aldrich, S. Sherrit, X. Bao, M. Badescu, Y. Bar-Cohen, Z. Chang

Proceedings Volume 6523, Modeling, Signal Processing, and Control for Smart Structures 2007; 65230B (2007) https://doi.org/10.1117/12.716403
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

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.

Citation Download Citation

J. B. Aldrich, S. Sherrit, X. Bao, M. Badescu, Y. Bar-Cohen, and Z. Chang "Lyapunov stability of periodically modulated cosine drivers for resonance tuning of harmonic oscillators", Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230B (18 April 2007); https://doi.org/10.1117/12.716403

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available