Theoretical Analysis of Velocity and Position Loop Behaviour of Nonlinear Cascade Feedforward Controller for Positioning of XY Table Ballscrew Drive System

Abstract:

The trend in machine tools and positioning systems nowadays are demanding for accuracy, precision and robustness attributes. In addition to those characteristics, a low-cost and adaptive control systems towards various disturbance forces also add a significant advantage to control engineers who can fulfill those needs. The objective of this paper is to introduce a newly improved control strategy named as Nonlinear Cascade Feedforward. It is basically, a cascade control structure with the additional of two add on modules called Nonlinear function plus independent feedforward function. Secondly, the aim of this article is to focus on the fundamental aspect on how to analyze the open loop and closed loop behavior for both velocity and position loop in the control structure by extracting the mathematical formulation of the controller. The outcome from this paper which is in the form of mathematical formula is beneficial and exceptionally significant during the validation and verification stage. The theoretical analysis involved are analysis on gain and phase margin, bandwidth frequency, sensitivity function, position error and finally analysis on dynamic stiffness of the system which is in this case the XY Table Ballscrew drive system. The strength of this controller is the self-adjusting mechanism towards variable disturbance cutting forces. Based on mathematical formulation, it is observed that the designed nonlinear cascade feedforward offer more flexibility and robustness in terms of the ability to compensate the tracking errors at variable disturbances.

• Periodical: Advanced Materials Research (Volume 845)
• Pages: 831-836
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.845.831
• Online since: December 2013
• Authors: Lokman Abdullah*, Zamberi Jamaludin, M.R. Salleh, B. Abu Bakar, J. Jamaludin, T.H. Chiew, N.A. Rafan
• Keywords: Motion Control, Nonlinear Cascade Feedforward Controller, XY Table

References

[1] Jamaludin, Z., H. V. Brussel and J. Swevers, Classical cascade and sliding mode control tracking performances for a xy table of a high-speed machine tool,. International Journal of Precision Technology, Vol. 1, No. 1, pp.65-74, (2007).

DOI: 10.1504/ijptech.2007.015345

[2] Seraji, H., A new class of nonlinear PID controllers with robotic applications,. Journal of Robotic System, Vol. 15, No. 3, pp.161-181, (1998).

DOI: 10.1002/(sici)1097-4563(199803)15:3<161::aid-rob4>3.0.co;2-o

[3] Amstrong, B., Neevel, D and Kusik T, New result in NPID control: tracking, integral control, friction compensation and experimental results,. IEEE Trans. Control Syst. Technol., Vol. 9, Issue 2, pp.399-406, (2001).

DOI: 10.1109/87.911392

[4] Su YX., Sun D, Duan BY, Design of an enhanced nonlinear PID controller,. Mechatronics., Vol. 15, Issue 8, pp.1005-1024, (2005).

DOI: 10.1016/j.mechatronics.2005.03.003

[5] Rahmat, M.F., Sy Najib Sy Salim, N.H. Sunar, Ahmad Athif Mohd Faudzi, Zool Hilmi Ismail and K. Huda, Identification and non-linear control strategy for industrial pneumatic actuator,. International Journal of the Physical Sciences, Vol. 7, No. 17, pp.2566-2579, (2012).

DOI: 10.5897/ijps12.030

[6] Abdullah, L., Z. Jamaludin, Q. Ahsan, J. Jamaludin, N.A. Rafan, T.H. Chiew, K. Jusoff and M. Yusoff, Evaluation on tracking performance of PID, Gain Scheduling and Classical Cascade P/PI controller on XY Table Ballscrew Drive System,. World Applied Sciences Journal, Vol. 21, pp.01-10, (2013).

DOI: 10.1016/j.procir.2014.07.111

[7] Doenitz, S., Comparison Of Disturbance Suppression For Servo Drives, 8th European Conference on Power Electronics and Applications, Lausanne (1999).

[8] Jamaludin, Z., H. V. Brussel, G. Pipeleers and J. Swevers, Accurate Motion Control of XY High-Speed Linear Drives using Friction Model Feedforward and Cutting Forces Estimation,. CIRP Annals – Manufacturing Technology, Vol. 57, Issue 1, pp.403-406, (2008).

DOI: 10.1016/j.cirp.2008.03.037

[9] Pipeleers, G., B. Demeulenaere, J. DeSchutter and J. Swevers, Robust High-Order Repetitive Control: Optimal Performance Trade-Offs,. Automatica, Vol. 44, Issue 1, pp.2628-2634, (2008).

DOI: 10.1016/j.automatica.2008.02.028

[10] Jamaludin, Z., Disturbance Compensation for a Machine Tools with Linear Motors. Ph. D. Dissertation, Department Wertuigkunde Katholieke Universiteit Leuven, Belgium, (2008).

[11] Boucher, P., D. Dumur, K.F. Rahmani, Generalized predictive cascade control (GPCC) for machine tool drives,. Annals of the CIRP, Vol. 39, No. 1, pp.357-360, (1990).

DOI: 10.1016/s0007-8506(07)61072-5

[12] Rankers, A.M., "Machine dynamics in mechatronic systems- an engineering approach. Ph.D. Thesis, Universiteit Twente, Netherland.

[13] Pintelon, R. and J. Schoukens., System identification– A frequency domain approach, NewYork: IEEE Press, pp.199-227, (2001).