Periodic Sampling Interval Repetitive Control and Its Application to Variable Spindle Speed Noncircular Turning Process-Reference-Cited by-同舟云学术

Periodic Sampling Interval Repetitive Control and Its Application to Variable Spindle Speed Noncircular Turning Process

Published:1998-06-01 Issue:3 Volume:122 Page:560-566
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Hanson Reed D.¹,Tsao Tsu-Chin²

Affiliation:

1. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

2. Mechanical and Aerospace Engineering Department, University of California, Los Angeles, Los Angeles, CA 90095-1597

Abstract

This paper addresses discrete-time, repetitive control for linear, periodic, time-varying systems. A periodic, repetitive control design method based on gain scheduling is proposed and the necessary and sufficient condition for closed-loop stability is presented. Utilizing the special structure of the repetitive controller, an efficient method for evaluating the closed-loop stability is developed. The algorithm is applied to the control of a piezoelectric fast-tool stage for variable spindle speed noncircular turning process. The tool performs dynamic variable depth of cut machining to generate noncircular workpiece profiles while the spindle carrying the workpiece rotates at a variable speed to inhibit machining instability (chatter). Experimental machining results are presented that demostrate the tracking performance of the period, time-varying controller design proposed, as well as the ability to increase machining stability using this approach. [S0022-0434(00)02402-3]

Publisher

ASME International

Subject

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

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/122/3/560/5653308/560_1.pdf

Reference18 articles.

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2. Tsao, T.-C., and Pong, K. C., 1992, “Spindle Speed Regulation and Tracking in Interrupted Cutting,” Transactions of the North American Manufacturing Research Institute of SME, pp. 235–241.

3. Omata, T., Hara, T., and Nakano, M., 1985, “Repetitive Control for Linear Periodic Systems,” Electr. Eng. Jpn., 105, pp. 133–139.

4. Hanson, R. D., and Tsao, T.-C., 1996, “Discrete-Time Repetitive Control of LTI Systems Sampled at a Periodic Rate,” Proc. of IFAC’96 World Congress, Vol. D 13-18, San Fransisco.

5. Chen, T., and Frances, B., 1995, Sampled-Data Control Systems, Chap. 8, Springer-Verlag, England.

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