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TECHNICAL PAPERS

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

[+] Author and Article Information
Reed D. Hanson

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

Tsu-Chin Tsao

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

J. Dyn. Sys., Meas., Control 122(3), 560-566 (Jun 01, 1998) (7 pages) doi:10.1115/1.1285857 History: Received June 01, 1998
Copyright © 2000 by ASME
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References

Tsao, T.-C., and Pong, K. C., 1991, “Control of Radial Runout in Multi-Tooth Face Milling,” Transactions of the North American Manufacturing Research Institute of SME, pp. 183–190.
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.
Omata,  T., Hara,  T., and Nakano,  M., 1985, “Repetitive Control for Linear Periodic Systems,” Electr. Eng. Jpn., 105, pp. 133–139.
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.
Chen, T., and Frances, B., 1995, Sampled-Data Control Systems, Chap. 8, Springer-Verlag, England.
Tomizuka,  M., Tsao,  T.-C., and Chew,  K.-K., 1989, “Analysis and Synthesis of Discrete-Time Repetitive Controllers,” ASME J. Dyn. Syst., Meas., Control, 111, pp. 353–358.
Tsao,  T.-C., and Tomizuka,  M., 1994, “Robust Adaptive and Repetitive Digital Tracking Control and Application to Hydraulic Servo for Noncircular Machining,” ASME J. Dyn. Syst., Meas., Control, 116, pp. 24–32.
Stoferle,  T., and Grab,  H., 1972, “Vermeiden von Ratterschwingungen durch periodische Drehzahlanderung,” Werkstatt und Betrieh, 105, pp. 727–731.
Hoshi,  T., Sakisaka,  N., Moriyama,  T., and Sato,  M., 1977, “Study for Practical Application of Fluctuating Speed Cutting for Regenerative Chatter Control,” Ann. CIRP, 25, pp. 175–179.
Sexton,  J., and Stone,  B., 1980, “Investigation of the Transient Effects during Variable Speed Machining,” J. Mech. Eng. Sci., 22, pp. 107–110.
Sexton,  J., and Stone,  B., 1978, “The Stability of Machining with Continuously Varying Spindle Speed,” Ann. CIRP, 107, pp. 321–323.
Inamura,  T., and Sata,  T., 1974, “Stability Analysis of Cutting Under Varying Spindle Speed,” Ann CIRP, 23, pp. 119–123.
Tsao,  T.-C., McCarthy,  M., and Kapoor,  S., 1993, “A New Approach to Stability Analysis of Variable Speed Machining Systems,” Int. J. Machine Tools & Manufacture, 33, No. 6, pp. 791–808.
Lin, S.-C., 1989, “The Use of Variable Spindle Speed for Vibration Control In Face Milling Process,” Ph.D. thesis, University of Illinois at Urbana-Champaign.
Englehart, R., Lin, S., DeVor, R., and Kapoor, S., 1989, “A Verification of the Use of Variable Spindle Speed for Vibration Reduction in Face Milling,” Proceedings of the 17th North American Manufacturing Research Conference, pp. 115–121.
Hanson, R. D., and Tsao, T.-C., 1994, “Development of a Fast Tool Servo for Variable Depth of Cut Machining,” Proc. ASME Winter Annual Meeting-Dynamic Systems and Control, 2 , pp. 863–871.
Hanson, R. D., and Tsao, T.-C., 1996, “Compensation for Cutting Force Induced Bore Cylindricity Dynamic Errors–A Hybrid Repetitive Servo/Iterative Learning Process Feedback Control Approach,” Japan USA Symposium on Flexible Automation, Boston, MA, pp. 1019–1026.
Hanson,  R. D., and Tsao,  T.-C., 1998, “Reducing Cutting Force Induced Bore Cylindricity Errors by Learning Control and Variable Depth of Cut Machining,” ASME J. Manuf. Sci. Eng., 120, pp. 547–554.

Figures

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Plant sampled at periodic rate
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Periodic repetitive control system
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Sampling scheme for VDCM/VSM operation
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Comparison of design methods
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Effect of increasing N on spectral radius computation
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Example of tracking results obtained
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Stabilizing effect of Q filter
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Tracking performance under constant spindle speed-Test 1
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Tracking performance under variable spindle speed-Test 4
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Lifted repetitive signal generator

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