Paper:

# Adaptive Control for Feed Drives Considering Coupling Effects Among Multiple Axes

## Naoki Uchiyama and Kazunori Mori

Department of Mechanical Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tempaku, Toyohashi, Aichi 441-8580, Japan

*Int. J. Automation Technol.*, Vol.4 No.1, pp. 45-52, 2010.

- [1] K. Srinivasan and T.-C. Tsao, “Machine Tool Feed Drives and Their Control —A Survey of the State of the Art,” Trans. of ASME, J. of Manufacturing Science and Engineering Vol.119, pp. 743-748, 1997.
- [2] R. Ramesh, M. A. Mannan, and A. N. Poo, “Tracking and Contour Error Control in CNC Servo Systems,” Int. J. of Machine Tools and Manufacture Vol.45, pp. 301-326, 2005.
- [3] Y. Koren, “Cross-Coupled Biaxial Control for Manufacturing Systems,” ASME J. of Dynamic Systems, Measurement, and Control Vol.102, pp. 265-272, 1980.
- [4] P. K. Kulkarni and K. Srinivasan, “Optimal Contouring Control of Multi-Axis Feed Drive Servomechanism,” ASME J. of Engineering for Industry Vol.111, pp. 140-148, 1989.
- [5] Y. S. Tarng, H. Y. Chuang, and W. T. Hsu, “An Optimisation Approach to the Contour Error Control of CNC Machine Tool Using Genetic Algorithms,” Int. J. of Advanced Manufacturing Technology Vol.13, pp. 359-366, 1997.
- [6] Y. S. Tarng, H. Y. Chuang, and W. T. Hsu, “Intelligent Cross-Coupled Fuzzy Feedrate Controller Design of CNC Machine Tools Based on Genetic Algorithms,” Int. J. of Machine Tools and Manufacture Vol.39, pp. 1673-1692, 1999.
- [7] G. T.-G. Chiu and M. Tomizuka, “Coordinate Position Control of Multi-Axis Mechanical Systems,” ASME J. of Dynamic Systems, Measurement, and Control Vol.120, pp. 389-393, 1998.
- [8] R. J. McNab and T.-C. Tsao, “Receding Time Horizon Linear Quadratic Optimal Control for Multi-Axis Contour Tracking Motion Control,” ASME J. of Dynamic Systems, Measurement, and Control, Vol.122, pp. 375-381, 2000.
- [9] Q. Zhong, Y. Shi, J. Mo, and S. Huang, “A Linear Cross-Coupled Control System for High-Speed Machining,” Int. J. of Advanced Manufacturing Technology Vol.19, pp. 558-563, 2002.
- [10] X. Ye, X. Chen, X. Li, and S. Huang, “A Cross-Coupled Path Precompensation Algorithm for Rapid Prototyping and Manufacturing,” Int. J. of Advanced Manufacturing Technology Vol.20, pp. 39-43, 2002.
- [11] Y.-T. Shih, C.-S. Chen, and A.-C. Lee, “A Novel Cross-Coupling Control Design for Bi-Axis Motion,” Int. J. of Machine Tools and Manufacture Vol.42, pp. 1539-1548, 2002.
- [12] Y.-M. Cheng and J.-H. Chin, “Machining Contour Errors as Ensembles of Cutting,” Feeding and Machine Tool Structure Effects, Int. J. of Machine Tools and Manufacture Vol.43, pp. 1001-1014, 2003.
- [13] C.-S. Chen, Y.-H. Fan, and S. P. Tseng, “Position Command Shaping Control in a Retrofitted Milling Machine,” Int. J. of Machine Tools and Manufacture Vol.46, pp. 293-303, 2006.
- [14] C.-C. Lo and C.-Y. Chung, “Tangential Contouring Controller for Biaxial Motion Control,” ASME J. of Dynamic Systems, Measurement, and Control Vol.121, pp. 126-129, 1999.
- [15] H.-C. Ho, J. Y. Yen, and S. S. Lu, “A Decoupled-Path Following Control Algorithm Based upon the Decomposed Trajectory Error,” Int. J. of Machine Tools and Manufacture Vol.39, pp. 1619-1630, 1999.
- [16] G. T.-C. Chiu and M. Tomizuka, “Contouring Control of Machine Tool Feed Drive Systems: a Task Coordinate Frame Approach,” IEEE Trans. on Control System Technology Vol.9, No.1, pp. 130-139, 2001.
- [17] C.-C. Peng and C.-L. Chen, “Biaxial Contouring Control with Friction Dynamics using a Contour Index Approach,” Int. J. of Machine Tools and Manufacture Vol.47, pp. 1542-1555, 2007.
- [18] N. Uchiyama, “Contouring Control of Biaxial Feed Drive Systems with Non-Linear Friction Compensation,” Proceedings of the Institution of Mechanical Engineers, Part I: J. of Systems and Control Engineering, Vol.222, pp. 153-162, 2008.
- [19] M. Tomizuka, “Zero Phase Error Tracking Algorithm for Digital Control,” Trans. of ASME, J. of Dynamic Systems, Measurement, and Control Vol.109, pp. 65-68, 1987.
- [20] C.-S. Chen, Y.-H. Fan, and S. P. Tseng, “Position Command Shaping Control in a Retrofitted Milling Machine,” Int. J. of Machine Tools and Manufacture Vol.46, pp. 293-303, 2006.
- [21] K. Erkorkmaz and Y. Altintas, “High Speed CNC System Design. Part III: High Speed Tracking and Contouring Control of Feed Drives,” Int. J. of Machine Tools and Manufacture Vol.41, pp. 1637-1658, 2001.
- [22] T.-C. Tsao and M. Tomizuka, “Adaptive Zero Phase Tracking Algorithm for Digital Control,” Trans. of ASME, J. of Dynamic Systems, Measurement, and Control Vol.109, pp. 349-354, 1987.
- [23] S.-S. Yeh and P.-L. Hsu, “An Optimal and Adaptive Design of the Feedforward Motion Controller,” IEEE/ASME Trans. on Mechatronics 4/4, pp. 428-439, 1999.
- [24] D. Torfs, J. D. Schutter, and J. Swevers, “Extended Bandwidth Zero Phase Error Tracking Control of Nonminimal Phase Systems,” Trans. of ASME, J. of Dynamic Systems, Measurement, and Control Vol.114, pp. 347-351, 1992.
- [25] L. Guo and M. Tomizuka, “High-Speed and High-Precision Motion Control with an Optimal Hybrid Feedforward Controller,” IEEE/ASME Trans. on Mechatronics 2/2, pp. 110-122, 1997.
- [26] N. Uchiyama, “Adaptive Two-Degree-of-Freedom Control of Feed Drive Systems,” Int. J. of Machine Tools and Manufacture Vol.48, pp. 437-445, 2008.
- [27] M. Tomizuka and R. Horowitz, “Model Reference Adaptive Control of Mechanical Manipulators,” IFAC Adaptive Systems in Control and Signal Processing, San Francisco, USA, pp. 27-32, 1983.
- [28] I. D. Landau, R. Lozano, and M. M’Saad, “Adaptive Control,” Springer, 1998.

This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.