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Estimation and compensation of periodic disturbance using internal-model-based equivalent-input-disturbance approach

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Abstract

This paper presents an improved equivalent-input-disturbance (EID) approach to deal with periodic disturbances. The approach has two degrees of freedom. One is an improved EID compensator, in which a repetitive controller is inserted in this study. The other is a conventional servo system for a reference input. The improved EID compensator estimates and compensates for periodic disturbances without steady-state error, and the servo system ensures a satisfactory tracking performance. The improved EID compensator is designed using the linear-matrix-inequality (LMI) method. Three parameters in an LMI are selected using the particle-swarm-optimization (PSO) algorithm. The state-feedback gain of the conventional servo system is designed using the linear-quadratic-regulator (LQR) method. Simulation results of a rotational control system demonstrate the validity of the approach and its advantage over others.

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References

  1. Lu Y S, Lin S M. Disturbance-observer-based adaptive feedforward cancellation of torque ripples in harmonic drive systems. Electr Eng, 2007, 90: 95–106

    Article  Google Scholar 

  2. Mei C, Cherng J G, Wang Y. Active control of regenerative chatter during metal cutting process. J Manuf Sci Eng, 2006, 128: 346–349

    Article  Google Scholar 

  3. Rech C, Pinheiro H, Grundling H A, et al. Comparison of digital control techniques with repetitive integral action for low cost PWM inverters. IEEE Trans Power Electron, 2003, 18: 401–410

    Article  Google Scholar 

  4. Li C Y, Zhang D C, Zhuang X Y. A survey of repetitive control. In: Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, 2004. 1160–1166

  5. Ma H, Li H Y, Lu R Q, et al. Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances. Sci China Inf Sci, 2020, 63: 150212

    Article  MathSciNet  Google Scholar 

  6. Francis B A, Wonham W M. The internal model principle for linear multivariable regulators. Appl Math Optim, 1975, 2: 170–194

    Article  MathSciNet  MATH  Google Scholar 

  7. He J, Luo G Y, Chen J Q. Overview of repetitive control system. Appl Mech Mater, 2014, 536–537: 1174–1177

    Article  Google Scholar 

  8. She J H, Fang M X, Ohyama Y, et al. Improving disturbance-rejection performance based on an equivalent-input-disturbance approach. IEEE Trans Ind Electron, 2008, 55: 380–389

    Article  Google Scholar 

  9. She J H, Xin X, Pan Y D. Equivalent-input-disturbance approach-analysis and application to disturbance rejection in dual-stage feed drive control system. IEEE/ASME Trans Mechatron, 2011, 16: 330–340

    Article  Google Scholar 

  10. Yu P, Wu M, She J H, et al. Robust tracking and disturbance rejection for linear uncertain system with unknown state delay and disturbance. IEEE/ASME Trans Mechatron, 2018, 23: 1445–1455

    Article  Google Scholar 

  11. Liu R J, Liu G P, Wu M, et al. Disturbance rejection for time-delay systems based on the equivalent-input-disturbance approach. J Franklin Institute, 2014, 351: 3364–3377

    Article  MathSciNet  MATH  Google Scholar 

  12. Gao F, Wu M, She J H, et al. Delay-dependent guaranteed-cost control based on combination of Smith predictor and equivalent-input-disturbance approach. ISA Trans, 2016, 62: 215–221

    Article  Google Scholar 

  13. Ouyang L Y, Wu M, She J H. Estimation of and compensation for unknown input nonlinearities using equivalent-input-disturbance approach. Nonlin Dyn, 2017, 88: 2161–2170

    Article  MATH  Google Scholar 

  14. Yin X, She J H, Wu M, et al. Disturbance rejection and performance analysis for nonlinear systems based on nonlinear equivalent-input-disturbance approach. Nonlin Dyn, 2020, 100: 3497–3511

    Article  MATH  Google Scholar 

  15. Liu R J, She J H, Wu M, et al. Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach. Sci China Inf Sci, 2018, 61: 070222

    Article  MathSciNet  Google Scholar 

  16. Yu P, Wu M, She J H, et al. An improved equivalent-input-disturbance approach for repetitive control system with state delay and disturbance. IEEE Trans Ind Electron, 2018, 65: 521–531

    Article  Google Scholar 

  17. Wang Z W, She J H, Wang G J. Adaptive equivalent-input-disturbance approach to improving disturbance-rejection performance. Int J Autom Comput, 2020, 17: 701–712

    Article  Google Scholar 

  18. Du Y W, Cao W H, She J H, et al. Disturbance rejection and control system design using improved equivalent input disturbance approach. IEEE Trans Ind Electron, 2020, 67: 3013–3023

    Article  Google Scholar 

  19. Anderson B D O, Moore J B. Optimal Control—Linear Quadratic Methods. Englewood Cliffs: Prentice-Hall, 1989

    Google Scholar 

  20. Ho D W C, Lu G P. Robust stabilization for a class of discrete-time non-linear systems via output feedback: the unified LMI approach. Int J Control, 2003, 76: 105–115

    Article  MathSciNet  MATH  Google Scholar 

  21. Khargonekar P P, Petersen I R, Zhou K. Robust stabilization of uncertain linear systems: quadratic stabilizability and control theory. IEEE Trans Automat Contr, 1990, 35: 356–361

    Article  MathSciNet  MATH  Google Scholar 

  22. Gao Z Q. Active disturbance rejection control: a paradigm shift in feedback control system design. In: Proceedings of the 2006 American Control Conference, Minneapolis, 2006. 2399–2405

Download references

Acknowledgements

This work was supported in part by National Key R&D Program of China (Grant No. 2017YFB1300900), National Natural Science Foundation of China (Grant No. 61873348), Natural Science Foundation of Hubei Province, China, (Grant No. 2020CFA031), Wuhan Applied Foundational Frontier Project (Grant No. 2020010601012175), and the 111 Project (Grant No. B17040).

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Correspondence to Jinhua She.

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Mei, Q., She, J., Liu, Z. et al. Estimation and compensation of periodic disturbance using internal-model-based equivalent-input-disturbance approach. Sci. China Inf. Sci. 65, 182205 (2022). https://doi.org/10.1007/s11432-020-3192-5

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  • DOI: https://doi.org/10.1007/s11432-020-3192-5

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