Skip to main content
Log in

Adaptive Equivalent-input-disturbance Approach to Improving Disturbance-rejection Performance

  • Research Article
  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

This paper presents an adaptive equivalent-input-disturbance (AEID) approach that contains a new adjustable gain to improve disturbance-rejection performance. A linear matrix inequality is derived to design the parameters of a control system. An adaptive law for the adjustable gain is presented based on the combination of the root locus method and Lyapunov stability theory to guarantee the stability of the AEID-based system. The adjustable gain is limited in an allowable range and the information for adjusting is obtained from the state of the system. Simulation results show that the method is effective and robust. A comparison with the conventional EID approach demonstrates the validity and superiority of the method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. H. Chen, J. Yang, L. Guo, S. H. Li. Disturbance-observer-based control and related methods - An overview. IEEE Transactions on Industrial Electronics, vol. 63, no. 2, pp. 1083–1095, 2016. DOI: https://doi.org/10.1109/TIE.2015.2478397.

    Article  Google Scholar 

  2. J. Yang, W. H. Chen, S. H. Li, G. Lei, Y. Y. Yan. Disturbance/uncertainty estimation and attenuation techniques in PMSM drives-a survey. IEEE Transactions on Industrial Electronics, vol. 64, no. 4, pp. 3273–3285, 2016. DOI: https://doi.org/10.1109/TIE.2016.2583412.

    Article  Google Scholar 

  3. W. W. Yu, H. Wang, H. F. Hong, G. H. Wen. Distributed cooperative anti-disturbance control of multi-agent systerns: An overview. Science China Information Sciences, vol.60, no. 11, Article number 110202, 2017. DOI: https://doi.org/10.1007/s11432-017-9141-x.

    Google Scholar 

  4. J. Q. Han. From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, vol. 56, no. 3, pp. 900–906, 2009. DOI: https://doi.org/10.1109/TIE.2008.2011621.

    Article  Google Scholar 

  5. G. H. Lin, J. Zhang, Z. H. Liu. Hybrid particle swarm optimization with differential evolution for numerical and engineering optimization. International Journal of Automation and Computing, vol. 15, no. 1, pp. 103–114, 2018. DOI: https://doi.org/10.1007/s11633-016-0990-6.

    Article  Google Scholar 

  6. H. Coral-Enriquez, S. Pulido-Guerrero, J. Cortes-Romero. Robust disturbance rejection based control with extended-state resonant observer for sway reduction in uncertain tower-cranes. International Journal of Automation and Computing, vol. 16, no. 6, pp.812–827, 2019. DOI: https://doi.org/10.1007/s11633-019-1179-6.

    Article  Google Scholar 

  7. Y. Choi, K. Yang, W. K. Chung, H. R. Kim, I. H. Suh. On the robustness and performance of disturbance observers for second-order systems. IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 315–320, 2003. DOI: https://doi.org/10.1109/TAC.2002.808491.

    Article  MathSciNet  Google Scholar 

  8. W. Ren, Q. Qiao, K. Nie, Y. Mao. Robust DOBC for stabilization loop of a two-axes gimbal system. IEEE Access, vol.7, pp. 110554–110562, 2019. DOI: https://doi.org/10.1109/ACCESS.2019.2933447.

    Article  Google Scholar 

  9. J. H. She, M. X. Fang, Y. Ohyama, H. Hashimoto, M. Wu. Improving disturbance-rejection performance based on an equivalent-input-disturbance approach. IEEE Transactions on Industrial Electronics, vol. 55, no. 1, pp. 380–389, 2008. DOI: https://doi.org/10.1109/TIE.2007.905976.

    Article  Google Scholar 

  10. P. Yu, K. Z. Liu, M. Wu, J. H. She. Improved equivalent-input-disturbance approach based on H control. IEEE Transactions on Industrial Electronics, to be published. DOI: https://doi.org/10.1109/TIE.2019.2946555.

  11. Z. Q. Gao. Scaling and bandwidth-parameterization based controller tuning. In Proceedings of American Control Conference, IEEE, Denver, USA, pp. 4989–4996, 2003. DOI: https://doi.org/10.1109/ACC.2003.1242516.

    Google Scholar 

  12. T. Umeno, Y. Hori. Robust speed control of DC servomotors using modern two degrees-of-freedom controller design. IEEE Transactions on Industrial Electronics, vol. 38, no. 5, pp. 363–368, 1991. DOI: 10.1109/41.97556.

    Article  Google Scholar 

  13. J. H. She, X. Xin, Y. D. Pan. Equivalent-input-disturbance approach-analysis and application to disturbance rejection in dual-stage feed drive control system. IEEE/ASME Transactions on Mechatronics, vol. 16, no. 2, pp. 330–340, 2011. DOI: https://doi.org/10.1109/TMECH.2010.2043258.

    Article  Google Scholar 

  14. J. H. She, K. Makino, L. Y. Ouyang, H. Hashimoto, H. Murakoshi, M. Wu. Estimation of normalized longitudinal force for an electric cart using equivalent-input-disturbance approach. IEEE Transactions on Vehicular Technology, vol. 63, no. 8, pp. 3642–3650, 2014. DOI: https://doi.org/10.1109/TVT.2014.2309954.

    Article  Google Scholar 

  15. A. C. Zhang, X. Z. Lai, M. Wu, J. H. She. Nonlinear stabilizing control for a class of underactuated mechanical sys-tems with multi degree of freedoms. Nonlinear Dynamics, vol. 89, no. 3, pp. 2241–2253, 2017. DOI: https://doi.org/10.1007/s11071-017-3582-2.

    Article  MathSciNet  Google Scholar 

  16. L. Zhou, J. H. She, S. W. Zhou, C. Y. Li. Compensation for state-dependent nonlinearity in a modified repetitive control system. International Journal of Robust and Nonlinear Control, vol. 28, no. 1, pp. 213–226, 2018. DOI: 10.1002/rnc.3865.

    Article  MathSciNet  Google Scholar 

  17. R. J. Liu, G. P. Liu, M. Wu, Z. Y. Nie. Disturbance rejection for time-delay systems based on the equivalent-input-disturbance approach. Journal of the Franklin Institute, vol. 351, no. 6, pp. 3364–3377, 2014. DOI: https://doi.org/10.1016/j.jfrank-lin.2014.02.015.

    Article  MathSciNet  Google Scholar 

  18. F. Gao, M. Wu, J. H. She, Y. He. Delay-dependent guar-anteed-cost control based on combination of smith predictor and equivalent-input-disturbance approach. ISA Transactions, vol.62, pp.215–221, 2016. DOI: https://doi.org/10.1016/j.isatra.2016.02.008.

    Article  Google Scholar 

  19. P. Yu, M. Wu, J. H. She, K. Z. Liu, Y. Nakanishi. Robust tracking and disturbance rejection for linear uncertain system with unknown state delay and disturbance. IEEE/ASME Transactions on Mechatronics, vol.23, no.3, pp. 1445–1455, 2018. DOI: https://doi.org/10.1109/TMECH.2018.2816005.

    Article  Google Scholar 

  20. Y. W. Du, W. H. Cao, J. H. She, M. Wu, M. X. Fang, S. Kawata. Disturbance rejection for input-delay system using observer-predictor-based output feedback control. IEEE Transactions on Industrial Informatics, vol. 16, no. 7, pp.4489–4497, 2020. DOI: https://doi.org/10.1109/TII.2019.2947431.

    Article  Google Scholar 

  21. R. J. Liu, J. H. She, M. Wu, F. F. Zhu, Z. Y. Nie. Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach. Science China Information Sciences, vol.61, no. 7, Article number 70222, 2018. DOI: https://doi.org/10.1007/s11432-017-9368-x.

    Google Scholar 

  22. S. Aranovskiy, L. B. Freidovich. Adaptive compensation of disturbances formed as sums of sinusoidal signals with application to an active vibration control benchmark. European Journal of Control, vol. 19, no. 4, pp. 253–265, 2013. DOI: https://doi.org/10.1016/j.ejcon.2013.05.008.

    Article  MathSciNet  Google Scholar 

  23. B. Z. Guo, Z. L. Zhao. Active disturbance rejection control: Theoretical perspectives. Communications in Information and Systems, vol. 15, no. 3, pp. 361–421, 2015. DOI: https://doi.org/10.4310/CIS.2015.vl5.n3.a3.

    Article  MathSciNet  Google Scholar 

  24. P. Yu, M. Wu, J. H. She, K. Z. Liu, Y. Nakanishi. An improved equivalent-input-disturbance approach for repetitive control system with state delay and disturbance. IEEE Transactions on Industrial Electronics, vol. 65, no. 1, pp. 521–531, 2018. DOI: https://doi.org/10.1109/TIE.2017.2716906.

    Article  Google Scholar 

  25. B. D. O. Anderson, J. B. Moore. Optimal Control: Linear Quadratic Methods, Englewood Cliffs, NJ: Prentice Hall, 1989.

    Google Scholar 

  26. W. Chen, Y. Yu, R. F. Yang, Z. Xu, D. G. Xu. Low speed stability research of adaptive full-order observer for induction motor. Proceedings of the CSEE, vol. 30, no. 36, pp. 33–40, 2010. DOI: https://doi.org/10.13334/j.0258-8013.pcsee.2010.36.006. (in Chinese)

    Google Scholar 

  27. X. Li, S. Yang, P. Cao, M. Ma. Analysis of the stability of speed adaptive observer and its design for induction motor drive at low speeds. Transactions of China Electrotech-nical Society, vol. 33, no. 23, pp. 5391–5401, 2018. DOI: https://doi.org/10.19595/j.cnki.l000-6753.tces.l71558. (in Chinese)

    Google Scholar 

  28. K. Ohnishi, T. Murakami. Advanced motion control in robotics. In Proceedings of the 15th Annual Conference of IEEE Industrial Electronics Society, IEEE, Philadelphia, PA, USA, pp. 356–359, 1989. DOI: https://doi.org/10.1109/IECON.1989.69658.

    Chapter  Google Scholar 

  29. D. W. C. Ho, G. P. Lu. Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach. International Journal of Control, vol. 76, no. 2, pp. 105–115, 2003. DOI: https://doi.org/10.1080/0020717031000067367.

    Article  MathSciNet  Google Scholar 

  30. M. Wu, F. Cao, P. Yu, J. H. She, W. H. Cao. Improve disturbance-rejection performance for an equivalent-input-disturbance-based control system by incorporating a proportional-integral observer. IEEE Transactions on Industrial Electronics, vol. 67, no. 2, pp. 1254–1260, 2020. DOI: https://doi.org/10.1109/TIE.2019.2898627.

    Article  Google Scholar 

  31. A. Bacciotti, L. Rosier. Liapunov Functions and Stability in Control Theory, 2nd ed., Berlin Heidelberg, Germany: Springer, 2005. DOI: 10.1007/b139

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (No. 61873348), National Key R&D Program of China (No. 2017YFB1300900), Hubei Provincial Natural Science Foundation of China (No. 2015CFA010), and the 111 Project, China (No. B17040).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jin-Hua She.

Additional information

Recommended by Associate Editor Min Wu

Ze-Wen Wang received the B.Sc. degree in engineering from Central China Normal University, China in 2017. He is currently a master student in control engineering from China University of Geosciences, China.

His research interests include the application of control theory, and robust control.

Jin-Hua She received the B.Sc. degree in engineering from Central South University, China in 1983, and the M.Sc. and Ph.D. degrees in engineering from Tokyo Institute of Technology, Japan in 1990 and 1993, respectively. In 1993, he joined School of Engineering, Tokyo University of Technology, where he is currently a professor. He is a member of the Society of Instrument and Control Engineers, the Institute of Electrical Engineers of Japan, the Japan Society of Mechanical Engineers, and the Asian Control Association. He received the International Federation of Automatic Control Control Engineering Practice Prize Paper Award in 1999 (jointly with M. Wu and M. Nakano).

His research interests include the application of control theory, repetitive control, process control, Internet-based engineering education, and assistive robotics.

Guang-Jun Wang received the B.Sc. and M.Sc. degrees from Central China Normal University, China in 1992, and the Ph.D. degree from the Huazhong University of Science and Technology, China in 2001. In 2002, he was with The Chinese University of Hong Kong as a visiting researcher. He was with the University of New Brunswick, Canada, as a Visiting Researcher from 2009 to 2010. He was a lecturer with School of Mechanical Engineering and Electronic Information, China University of Geosciences, China from 1994 to 1999, and an associate professor from 1999 to 2005, where he is currently a professor.

His research interests include electronic information technology, pattern recognition, and intelligent systems.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, ZW., She, JH. & Wang, GJ. Adaptive Equivalent-input-disturbance Approach to Improving Disturbance-rejection Performance. Int. J. Autom. Comput. 17, 701–712 (2020). https://doi.org/10.1007/s11633-020-1230-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-020-1230-7

Keywords

Navigation