Receding time horizon linear quadratic optimal control for multi-axis contour tracking motion control

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 122, Issue 2, 2000, Pages 375-381

  McNab, Robert J ^a   Tsao, Tsu Chin ^b  

^a WESTERN DIGITAL CORPORATION   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13544267091     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.482476     Document Type: Article

References (20)

1. Poo, N., and Bollinger, J. G., 1972, “Dynamic Errors in Type 1 Contouring Systems,” IEEE Trans. Ind. Appl., IA-8, No. 4, pp. 477-484, July.
2. Koren, Y., 1980, “Cross-Coupled Biaxial Computer Control for Manufacturing Systems,” ASME J. Dyn. Syst., Meas., Control, 102, pp. 265-272.
3. Kulkarni, P. K., and Srinivasan, K., 1989, “Optimal Contouring Control of Multi-Axial Feed Drive Servomechanisms,” ASME J. Eng. Ind., 111, pp. 140-148.
4. Srinivasan, K., and Kulkarni, P. K., 1990, “Cross-Coupled Control of Biaxial Feed Drive Servomechanisms,” ASME J. Dyn. Syst., Meas., Control, 112, pp. 225-232.
5. Koren, Y., and Lo, C. C., 1991, “Variable-Gain Cross-Coupling Controller for Contouring,” Ann. CIRP, 40, pp. 371-374.
6. Chiu, G. T-C., and Tomizuka, M., 1995, “Contouring Control of Machine Tool Feed Drive Systems: a Task Coordinate Frame Approach,” Dynamic System and Control, the Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, CA, DSC-Vol. 57-2, pp. 503-510.
7. Chiu, T-C., and Tomizuka, M., 1998, “Coordinated Position Control of MultiAxis Mechanical Systems,” ASME J. Dyn. Syst., Meas., Control, 110, pp. 389-393.
8. Yen, J.-Y., Ho, H.-C., and Lu, S.-S., 1998, “Decoupled Path-Following ontrol Algorithm Based Upon the Decomposed Trajectory Error,” Proceedings of the 37th IEEE——Conference on Decision and Control, pp. 3189-3194, Tampa, FL.
9. Lo, C.-C., and Chung, C.-Y., 1999, “Tangential-Contouring Controller for Biaxial Motion Control,” ASME J. Dyn. Syst., Meas., Control, 121, pp. 126-129.
10. Tomizuka, M., and Whitney, D. E., 1975, “Optimal Discrete Finite Preview Problems (Why and How Is Future Information Important?),” ASME J. Dyn. Syst., Meas., Control, 97, pp. 319-325.
11. Tomizuka, M., and Rothenthal, D. E., 1979, “On the Optimal Digital State Vector Feedback Controller with Integral And Preview Actions,” ASME J. Dyn. Syst., Meas., Control, 101, No. 2, pp. 172-178.
12. Tomizuka, M., Dornfeld, D., Bian, X.-Q., and Cai, H.-C., 1980, “Application of Microcomputers to Automated Weld Quality Control,” ASME J. Dyn. Syst., Meas., Control, 102, No. 2, pp. 62-68.
13. Tsao, T.-C., 1994, “Optimal Feed-Forward Digital Tracking Controller Design,” ASME J. Dyn. Syst., Meas., Control, 116, pp. 583-592.
14. McNab, R. J., and Tsao, T.-C., 1994, “Multi-Axis Contour Tracking: A Receding Horizon Linear Quadratic Optimal Control Approach,”ASMEInterna-tional Mechanical Engineering Congress and Exposition, Chicago, IL, DSC-Vol. 55-2, pp. 895-902.
15. Anderson, B. D. O., and Moore, J. B., 1971, Linear Optimal Control, Prentice-Hall, Englewood Cliffs, NJ.
16. Bitmead, R. R., Gevers, M., and Wertz, V., 1990, Adaptive Optimal Control: The Thinking Man's GPC, Prentice-Hall, Englewood Cliffs, NJ.
17. Poubelle, M. A., Petersen, I. R., Gevers, M., and Bitmead, R. R., 1986, “A Miscellany of Results on an Equation of Count J. F. Riccati,” IEEE Trans. Autom. Control., AC-31, pp. 651-654.
18. Poubelle, M. A., Bitmead, R. R., and Gevers, M., 1988, “Fake Algebraic Riccati Techniques and Stability,” IEEE Trans. Autom. Control., AC-33, pp. 379-381.
19. Bitmead, R. R., Gevers, M., Petersen, I. R., and Kaye, R. J., 1985, “Monotonicity and Stabilizability Properties of Solutions of the Riccati Difference Equation: Propositions, Lemmas, Theorems, Fallacious Conjectures and Counterexamples,” Syst. Control Lett., 5, pp. 309-315.
20. de Souza, C. E., 1989, “Monotonicity and Stabilizability Results for the Solution of the Riccati Difference Equation,” Proc. Workshop on the Riccati Equation in Control, Systems and Signals, S. Bittanti, ed., Como, Italy, pp. 38-41.