A Nonlinear State-Space Model of a Resonating Single Fiber Scanner for Tracking Control: Theory and Experiment-Reference-Cited by-同舟云学术

A Nonlinear State-Space Model of a Resonating Single Fiber Scanner for Tracking Control: Theory and Experiment

Published:2004-03-01 Issue:1 Volume:126 Page:88-101
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Smithwick Quinn Y. J.¹²³,Reinhall Per G.⁴,Vagners Juris⁵,Seibel Eric J.²³

Affiliation:

1. Dept. of Aeronautics & Astronautics, University of Washington, Seattle, WA 98195;

2. Dept. of Mechanical Engr., University of Washington, Seattle, WA 98195;

3. Human Interface Technology Lab, University of Washington, Seattle, WA 98195

4. Dept. of Mechanical Engr., University of Washington, Seattle, WA 98195

5. Dept. of Aeronautics & Astronautics, University of Washington, Seattle, WA 98195

Abstract

A nonlinear state-space dynamic model of a resonating single fiber scanner is developed to understand scan distortion—jump, whirl, amplitude dependent amplitude and phase shifts—and as the basis for controllers to remove those distortions. The non-planar nonlinear continuum dynamics of a resonating base excited cantilever are reduced to a set of state-space coupled Duffing equations with centripetal acceleration. Methods for experimentally determining the model parameters are developed. The analytic frequency responses for raster, spiral and propeller scans are derived, and match experimental frequency responses for all three scan patterns, for various amplitudes, and using the same model parameters.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/126/1/88/5780515/88_1.pdf

Reference18 articles.

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2. Smithwick, Q. Y. J., Seibel, E. J., Reinhall, and P. G., Vagners, J., 2001, “Control Aspects of the Scanning Single Fiber Flexible Endoscope.” Optical Fibers and Sensors for Medical Applications, Proceedings of the SPIE, 4253, pp. 176–188.

3. Pai, P., and Nayfeh, A. H., 1990, “Non-linear Non-planar Oscillations of a Cantilever Beam under Lateral Base Excitations,” Int. J. Non-Linear Mech., 25(5), pp. 455–474.

4. Oueini, S. S., Nayfeh, A. H., 1999, “Single-Mode Control of a Cantilever Beam Under Principal Parametric Excitation,” J. Sound Vib., 224(1), pp. 33–47.

5. Haight, E. C., King, and W. W., 1972, “Stability of Nonlinear Oscillations of an Elastic Rod,” J. Acoust. Soc. Am., 52(3-Part 2), pp. 899–911.

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