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Article

Designing Robust Repetitive Controllers

[+] Author and Article Information
Andrew W. Osburn

Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1077

Matthew A. Franchek

Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792e-mail: mfranchek@uh.edu

J. Dyn. Sys., Meas., Control 126(4), 865-872 (Mar 11, 2005) (8 pages) doi:10.1115/1.1849248 History: Revised December 21, 2003; Online March 11, 2005
Copyright © 2004 by ASME
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References

Kempf, C., Messner, W., Tomizuka, M., and Horowitz, R., 1992, “A Comparison of Four Discrete-Time Repetitive Control Algorithms,” Proceedings of the American Control Conference, pp. 2700–2704.
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Inoue, T., 1990, “Practical Repetitive Control System Design,” Proceedings of the 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, Vol. 3, pp. 1673–1678.
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Figures

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The prototype repetitive control system
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General repetitive controller with uncertain plant
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Equivalent feedback system
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Feedback loop for stability analysis
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Plant uncertainty templates: (a) the image of α under Gf(e)P(e,α) and (b) the image of α under 1−Gf(e)P(e,α)
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Inner/outer feedback loop configuration
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Fuel/air control of a fuel-injected, spark-ignition engine
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Feedback loop for disturbance identification
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Estimated frequency response of engine fuel/air dynamics at various operating conditions
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Inverted nominal plant and pre-compensator frequency responses
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Evaluation of the stability criterion (11)
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Fuel/air ratio response
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Engine speed and mass air flow response
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Fuel injector pulse width response

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