single-au.php

IJAT Vol.19 No.4 pp. 480-487
doi: 10.20965/ijat.2025.p0480
(2025)

Research Paper:

Robustness Evaluation and Performance Improvement of the Nominal Characteristic Trajectory Following Control of a Rotary Mechanism with a Gear Reducer Using Additional Compensators

Kaiji Sato ORCID Icon and Mizuki Takeda ORCID Icon

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

Corresponding author

Received:
January 1, 2025
Accepted:
February 18, 2025
Published:
July 5, 2025
Keywords:
positioning, gear reducer, nominal characteristic trajectory following control, vibration suppression, feedforward
Abstract

Nominal characteristic trajectory following (NCTF) control has been proposed to realize high-precision control systems with minimal information and expertise. NCTF control is effective at suppressing the adverse effects of friction and has demonstrated precision motion and high robustness. To improve the vibration-suppression characteristics of NCTF control systems, a method of incorporating additional compensators (which are easy to design) has been proposed and proven effective. However, the robustness of NCTF control with additional compensators has not been verified. They have also not yet been evaluated for application to a rotary mechanism with a gear reducer (commonly used in robots). This study experimentally investigated the robustness and performance improvement of NCTF control of a rotary mechanism with a gear reducer using additional compensators. To evaluate robustness, additional units were used to increase the moment of inertia and to add disturbance to the mechanism. Despite some degradation in performance owing to the added inertia and disturbance, the overall performance remained good, demonstrating the efficacy of the proposed control approach. This study demonstrated the potential of NCTF control systems augmented with additional compensators to boost servomechanism performance in automation, particularly in robots subjected to variable loads and disturbances.

Cite this article as:
K. Sato and M. Takeda, “Robustness Evaluation and Performance Improvement of the Nominal Characteristic Trajectory Following Control of a Rotary Mechanism with a Gear Reducer Using Additional Compensators,” Int. J. Automation Technol., Vol.19 No.4, pp. 480-487, 2025.
Data files:
References
  1. [1] “Real-world robotics—A new principle for robotics that flexibly adapts to open environments—,” Strategic Proposal, CRDS-FY2022-SP-02, Center for Research and Development Strategy, Japan Science and Technology Agency, 2022 (in Japanese). https://www.jst.go.jp/crds/pdf/2022/SP/CRDS-FY2022-SP-02.pdf [Accessed October 30, 2024]
  2. [2] “Research report on robot industry and technology promotion in 2023,” Japan Machinery Federation, 2024 (in Japanese). https://www.jmf.or.jp/jmf/wp-content/uploads/2024/04/23rbaw_h.pdf [Accessed October 30, 2024]
  3. [3] T. Sasaki, “Trends in policies and laws regarding robots in Europe,” Ministry of Internal Affairs and Communications, 2020 (in Japanese). https://www.soumu.go.jp/main_content/000426493.pdf [Accessed October 30, 2024]
  4. [4] S. Fukada, K. Nishimura, and T. Matsuda, “Modelling and control of flexure mechanism driven by electromagnetic linear motors for ultraprecise continuous path positioning over a one-millimetre stroke,” Int. J. Automation Technol., Vol.5, No.6, pp. 809-822, 2011. https://doi.org/10.20965/ijat.2011.p0809
  5. [5] K. Ishizaki, B, Sencer, and E. Shamoto, “Cross coupling controller for accurate motion synchronization of dual servo systems,” Int. J. Automation Technol., Vol.7, No.5, pp. 514-522, 2013. https://doi.org/10.20965/ijat.2013.p0514
  6. [6] D. J. Gordon and K. Erkorkmaz, “Accurate control of ball screw drives using pole-placement vibration damping and a novel trajectory prefilter,” Precision Engineering, Vol.37, No.2, pp. 308-322, 2013. https://doi.org/10.1016/j.precisioneng.2012.09.009
  7. [7] Z. Sun, G. Pritschow, P. Zahn, and A. Lechle, “A novel cascade control principle for feed drives of machine tools,” CIRP Annals, Vol.67, No.1, pp. 389-392, 2018. https://doi.org/10.1016/j.cirp.2018.03.004
  8. [8] T. Oiwa and M. Katsuki, “Questionnaire survey on ultra-precision positioning,” J. of the Japan Society for Precision Engineering, Vo.81, No.10, pp. 904-910, 2015 (in Japanese). https://doi.org/10.2493/jjspe.81.904
  9. [9] G. J. Maeda and K. Sato, “Practical control method for ultra-precision positioning using a ballscrew mechanism,” Precision Engineering, Vol.32, No.4, pp. 309-318, 2008. https://doi.org/10.1016/j.precisioneng.2007.10.002
  10. [10] Wahyudi, K. Sato, and A. Shimokohbe, “Robustness evaluation of three friction compensation methods for point-to-point (PTP) positioning,” Robotics and Autonomous Systems, Vol.52, Nos.2-3, pp. 247-256, 2005. https://doi.org/10.1016/j.robot.2005.03.004
  11. [11] K. Sato, K. Nakamoto, and A. Shimokohbe, “Practical control of precision positioning mechanism with friction,” Precision Engineering, Vol.28, No.4, pp. 426-434, 2004. https://doi.org/10.1016/j.precisioneng.2004.01.003
  12. [12] K. Sato and G. J. Maeda, “A practical control method for precision motion – Improvement of NCTF control method for continuous motion control,” Precision Engineering, Vol.33, No.2, pp. 175-186, 2009. https://doi.org/10.1016/j.precisioneng.2008.05.006
  13. [13] F. J. En, C. S. Homg, and L. S. Lee, “Robust tracking control of an ironless linear motor with continuous motion nominal characteristic trajectory following controller,” Proc. of the SICE Annual Conf. 2017, pp. 1461-1466, 2017. https://doi.org/10.23919/SICE.2017.8105665
  14. [14] D.-J. Lee, S.-K. Lee, and W.-S. Kim, “Precise contour motion of XY stage driven by ultrasonic linear motors in a high vacuum environment,” Int. J. of Precision Engineering and Manufacturing, Vol.17, No.3, pp. 293-301, 2016. https://doi.org/10.1007/s12541-016-0037-5
  15. [15] M. A. Ahmad, R. M. T. Raja Ismail, M. S. Ramli, and N. Hambali, “Comparative assessment of feed-forward schemes with NCTF for sway and trajectory control of a DPTOC,” Proc. of 2010 Int. Conf. on Intelligent and Advanced Systems, 2010. https://doi.org/10.1109/ICIAS.2010.5716123
  16. [16] Wahyudi, J. Jalani, R. Muhida, and M. J. E. Salami, “Control strategy for automatic gantry crane systems: A practical and intelligent approach,” Int. J. of Advanced Robotic Systems, Vol.4, No.4, pp. 447-456, 2007. https://doi.org/10.5772/5669
  17. [17] W.-K. Hee and S.-H. Chong, “Selection of PI compensator parameters for NCTF controller based on practical stability limit,” Proc. of 2014 IEEE Int. Conf. on Control System, Computing and Engineering, pp. 674-679, 2014. https://doi.org/10.1109/ICCSCE.2014.7072803
  18. [18] K. Sato and Y. Sano, “Practical and intuitive controller design method for precision positioning of a pneumatic cylinder actuator stage,” Precision Engineering, Vol.38, No.4, pp. 703-710, 2014. https://doi.org/10.1016/j.precisioneng.2014.03.006
  19. [19] T. F. Tang and S. H. Chong, “Practical controller design for ultra-precision positioning of stages with a pneumatic artificial muscle actuator,” IOP Conf. Series: Materials Science and Engineering, Vol.210, Article No.012056, 2017. https://doi.org/10.1088/1757-899X/210/1/012056
  20. [20] K. Sato, “Practical and intuitive controller design for precision motion – AR-CM NCTF control of ball screw mechanism,” Int. J. Automation Technol., Vol.5, No.6, pp. 793-799, 2011. https://doi.org/10.20965/ijat.2011.p0793
  21. [21] S. H. Chong and K. Sato, “Practical and robust control for precision motion: AR-CM NCTF control of a linear motion mechanism with friction characteristics,” IET Control Theory & Applications, Vol.9, No.5, pp. 745-754, 2015. https://doi.org/10.1049/iet-cta.2014.0544
  22. [22] P. C. Sahu, R. C. Prusty, and S. Panda, “ALO optimized NCTF controller in multi area AGC system integrated with WECS based DFIG system,” 2017 Int. Conf. on Circuit, Power and Computing Technologies, pp. 1-6, 2017. https://doi.org/10.1109/ICCPCT.2017.8074377
  23. [23] M. A. Ahmad, R. M. T. R. Ismail, and M. S. Ramli, “Control strategy for active vibration suppression of flexible robot manipulator,” Proc. of the 2010 IEEE Int. Conf. on Information and Automation, pp. 741-746, 2010. https://doi.org/10.1109/ICINFA.2010.5512469
  24. [24] G. Cui, B. Li, W. Tian, W. Liao, and W. Zhao, “Dynamic modeling and vibration prediction of an industrial robot in manufacturing,” Applied Mathematical Modelling, Vol.105, pp. 114-136, 2022. https://doi.org/10.1016/j.apm.2021.12.031
  25. [25] D. K. Thomsen, R. Soe-Knudsen, O. Balling, and X. Zhang, “Vibration control of industrial robot arms by multi-mode time-varying input shaping,” Mechanism and Machine Theory, Vol.155, Article No.104072, 2021. https://doi.org/10.1016/j.mechmachtheory.2020.104072
  26. [26] J. Oaki and S. Adachi, “Vibration-suppression and fast-positioning control of elastic-joint robot arm utilizing nonlinear-model-based phase-lead compensator,” 2015 IEEE Conf. on Control Applications (CCA), pp. 281-287, 2015. https://doi.org/10.1109/CCA.2015.7320642
  27. [27] K. Sato, R. Hisamatsu, and K. Akamatsu, “Controller design for high-speed, ultra-precision positioning of a linear motion stage on a vibrating machine base stage control on a vibrating base,” Precision Engineering, Vol.80, pp. 10-19, 2023. https://doi.org/10.1016/j.precisioneng.2022.11.008
  28. [28] K. Sato, “Feedforward element design using learning controller for precision control of linear synchronous motor with nonlinear characteristics,” Precision Engineering, Vol.72, pp. 870-877, 2021. https://doi.org/10.1016/j.precisioneng.2021.08.005
  29. [29] K. Sato, “Practical high-precision motion control system based on nominal characteristic trajectory following control and simple feedforward element design methods,” Precision Engineering, Vol.75, pp. 55-66, 2022. https://doi.org/10.1016/j.precisioneng.2021.11.017

*This site is desgined based on HTML5 and CSS3 for modern browsers, e.g. Chrome, Firefox, Safari, Edge, Opera.

Last updated on Jul. 04, 2025