Tracking performance of NPID controller for cutting force disturbance of ball screw drive
DOI:
https://doi.org/10.15282/jmes.11.4.2017.25.0291Keywords:
Ball screw drive system; tracking performance; NPID; cutting disturbance.Abstract
The high demand in tracking performance is crucial in machine tools application. Therefore, the purpose of this paper is to design a Nonlinear PID (NPID) controller for improvement of tracking performance via cutting force. The method was then compared with another method which was conventional PID controller. The configuration included different cutting force disturbances of 1500rpm, 2500rpm and 3500rpm. The parameters were set to 0.4Hz and 0.7Hz frequency for every 10mm and 20mm of amplitude, respectively. The investigation was centred on a comparative study of these two techniques which focused on x-axis of Googol Tech XY ball screw drive system. Results between the designed controllers were validated based on two types of errors; the maximum tracking error and root mean square error. Results showed that the NPID controller recorded better tracking performance compared to PID controller with an error reduction of about 33%. In addition, the results proved that NPID controller is highly practical and suitable to be used for ball screw drive. The controller can be further improved with the implementation of observer such as disturbance observer to compensate the cutting forces.
References
Jamaludin J, Jamaludin Z, Chiew T, Abdullah L. Design and Analysis of Disturbance Force Observer for Machine Tools Application. Applied Mechanics and Materials: Trans Tech Publ; 2015. p. 148-52.
Moriwaki T. Multi-functional machine tool. CIRP Annals-Manufacturing Technology. 2008;57:736-49.
Aggogeri F, Borboni A, Faglia R, Merlo A, Pellegrini N. A Kinematic Model to Compensate the Structural Deformations in Machine Tools Using Fiber Bragg Grating (FBG) Sensors. Applied Sciences. 2017;7:114.
Villegas FJ, Hecker RL, Peña ME, Vicente DA, Flores GM. Modeling of a linear motor feed drive including pre-rolling friction and aperiodic cogging and ripple. The International Journal of Advanced Manufacturing Technology. 2014;73:267-77.
Pengbing Z, Yaoyao S. Adaptive sliding mode control of the A-axis used for blisk manufacturing. Chinese Journal of Aeronautics. 2014;27:708-15.
Strakos P, Karasek T. Adaptive model predictive control as a prospect for control of machine tools with significant flexibility. AIP Conference Proceedings: AIP Publishing; 2015. p. 830006.
Nuella I, Cheng C, Chiu M-S. Adaptive PID controller design for nonlinear systems. Industrial and Engineering Chemistry Research. 2009;48:4877-83.
Erkorkmaz K, Wong W. Rapid identification technique for virtual CNC drives. International Journal of Machine Tools and Manufacture. 2007;47:1381-92.
Xi X-C, Zhao W-S, Poo A-N. Improving CNC contouring accuracy by robust digital integral sliding mode control. International Journal of Machine Tools and Manufacture. 2015;88:51-61.
Dong R, Pedrycz W. Approximation grid evaluation-based PID control in cascade with nonlinear gain. Journal of the Franklin Institute. 2015;352:4279-96.
Singh C. Genetic Algorithms Based PID controller Design. International Journal of Enginering Development and Research. 2015;3:2-5.
Vicente DA, Hecker RL, Villegas FJ, Flores GM. Modeling and vibration mode analysis of a ball screw drive. The International Journal of Advanced Manufacturing Technology. 2012;58:257-65.
Bakhtiari-Nejad F, Nazemizadeh M, Arjmand H. Tracking control of an underactuated gantry crane using an optimal feedback controller. International Journal of Automotive and Mechanical Engineering. 2013;7:830.
Peng L, Mai J, Jiang T, Lai X, Lin Z. Experimental investigation of tensile properties of SS316L and fabrication of micro/mesochannel features by electrical-assisted embossing process. Journal of Micro and Nano-Manufacturing. 2014;2:021002.
Ghani SAC, Cheng K, Minton T. Back chip temperature in environmentally conscious turning with conventional and internally cooled cutting tools. Journal of Mechanical Engineering and Sciences. 2013;4:356-72.
Salim SNS, Ismail Z, Rahmat M, Faudzi A, Sunar N, Samsudin SI. Tracking performance and disturbance rejection of pneumatic actuator system. Control Conference (ASCC), 2013 9th Asian: IEEE; 2013. p. 1-6.
Abdullah L, Jamaludin Z, Ahsan Q, Jamaludin J, Rafan NA, Chiew T, et al. Evaluation on tracking performance of PID, gain scheduling and classical cascade P/PI controller on XY table ballscrew drive system. World Applied Sciences Journal. 2013;21:1-10.
Ariffin M, Kamaluddin R, Tang S, Mohamed SB. Analysis of Automated G-Clip Machine Processes and Substation Process with Simulation by Using CAD Software. Materials Science Forum: Trans Tech Publ; 2014. p. 28-36.
Razak N, Rahman M, Kadirgama K. Cutting force and chip formation in end milling operation when machining nickel-based superalloy, Hastelloy C-2000. Journal of Mechanical Engineering and Sciences. 2017;11:2539-51.
Maharof M, Jamaludin Z, Minhat M, Ito T. Review on Cutting Force Compensation Techniques for Machine Tools Application. Applied Mechanics and Materials: Trans Tech Publ; 2015. p. 250-4.
Pitstra W, Pieper J. Controller designs for constant cutting force turning machine control. ISA transactions. 2000;39:191-203.
Pitstra W, Pieper J. Control of a turning machine for constant cutting force. American Control Conference, 1997 Proceedings of the 1997: IEEE; 1997. p. 3669-73.
Yang M, Park H. The prediction of cutting force in ball-end milling. International Journal of Machine Tools and Manufacture. 1991;31:45-54.
Kamalzadeh A, Gordon DJ, Erkorkmaz K. Robust compensation of elastic deformations in ball screw drives. International Journal of Machine Tools and Manufacture. 2010;50:559-74.
Najiha M, Rahman M, Kamal M, Yusoff A, Kadirgama K. Minimum quantity lubricant flow analysis in end milling processes: A computational fluid dynamics approach. Journal of Mechanical Engineering and Sciences. 2012;3:340-5.
Jafari M, Mirzaei M, Mirzaeinejad H. Optimal nonlinear control of vehicle braking torques to generate practical stabilizing yaw moments. International Journal of Automotive and Mechanical Engineering. 2015;11:2639.
Wang J, Van Brussel H, Swevers J. Positioning and tracking control of an xy table with sliding mode control. IFAC Proceedings Volumes. 2003;36:157-62.
Altintas Y, Verl A, Brecher C, Uriarte L, Pritschow G. Machine tool feed drives. CIRP Annals-Manufacturing Technology. 2011;60:779-96.
Azkoita J, Zulaika J, Gonzalez R. High Speed Machining: A Challenge for Ball Screw Drives. Retrieved from file:///E:/calibration/Azkoitia_josemiguel_revised pdf.
Bediaga I, Munoa J, Hernández J, De Lacalle LL. An automatic spindle speed selection strategy to obtain stability in high-speed milling. International Journal of Machine Tools and Manufacture. 2009;49:384-94.
Zhou C-G, Feng H-T, Chen Z-T, Ou Y. Correlation between preload and no-load drag torque of ball screws. International Journal of Machine Tools and Manufacture. 2016;102:35-40.
Caracciolo R, Richiedei D. Optimal design of ball-screw driven servomechanisms through an integrated mechatronic approach. Mechatronics. 2014;24:819-32.
Kim M-S, Chung S-C. Integrated design methodology of ball-screw driven servomechanisms with discrete controllers. Part I: Modelling and performance analysis. Mechatronics. 2006;16:491-502.
Zhu S, Ding G, Qin S, Lei J, Zhuang L, Yan K. Integrated geometric error modeling, identification and compensation of CNC machine tools. International Journal of Machine Tools and Manufacture. 2012;52:24-9.
Ramesh R, Mannan M, Poo A. Tracking and contour error control in CNC servo systems. International Journal of Machine Tools and Manufacture. 2005;45:301-26.
Wei CC, Lin JF. Kinematic analysis of the ball screw mechanism considering variable contact angles and elastic deformations. Journal of Mechanical Design. 2003;125:717-33.
Mori M, Fujishima M, Inamasu Y, Oda Y. A study on energy efficiency improvement for machine tools. CIRP Annals-Manufacturing Technology. 2011;60:145-8.
Abdullah L, Jamaludin Z, Rafan N, Jamaludin J, Chiew T. Assessment on tracking error performance of Cascade P/PI, NPID and N-Cascade controller for precise positioning of xy table ballscrew drive system. IOP Conference Series: Materials Science and Engineering: IOP Publishing; 2013. p. 012010.
Retas Z, Abdullah L, Salim S, Jamaludin Z, Anang N. Tracking error compensation of XY table ball screw driven system using cascade fuzzy P+PI. International Review Automatic Control. 2016;9:324-33.
Pintelon R, Schoukens J. System identification: a frequency domain approach: John Wiley & Sons; 2012.
Chiew T, Jamaludin Z, Hashim AB, Rafan N, Abdullah L. Identification of friction models for precise positioning system in machine tools. Procedia Engineering. 2013;53:569-78.
Jamaludin Z, Van Brussel H, Swevers J. Tracking performances of cascade and sliding mode controllers with application to a XY milling table. Proceedings of ISMA2006. 2006;81.
Chiew T, Jamaludin Z, Hashim AB, Leo K, Abdullah L, Rafan N. Analysis of tracking performance in machine tools for disturbance forces compensation using sliding mode control and PID controller. International Journal of Mechanical & Mechatronics Engineering. 2012;12:34-40.
Jamaludin J. Disturbance rejection using disturbance force observer for xyz positioning table: Universiti Teknikal Malaysia Melaka; 2015.
Maharof M, Jamaludin Z, Minhat M, Anang N, Chiew T, Jamaludin J. Design and analysis of disturbance force observer for milling cutting force compensation. International Journal of Mechanical Mechatronics Engineering. 2017;17:53-62.
Padhan DG, Majhi S. Synthesis of PID tuning for a new parallel cascade control structure. IFAC Proceedings Volumes. 2012;45:566-71.
Chiew TH. N-PID controller with feedforward of generalized maxwell-slip and static friction model for for friction compensation in machine tools: Universiti Teknikal Malaysia Melaka; 2014.
Abdullah L. A new control strategy for cutting force disturbance compensation for XY table ball screw driven system: (Manufacturing Engineering)-Universiti Teknikal Malaysia Melaka; 2014.
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