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Parametric Design for Proportional Plus Double Integral Controller with Applications to Tracking Control in Space Optical Communication

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  • Control Theory and Applications
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Abstract

A complete parametric design approach is developed for a type of proportional plus double integral (P2I) controller. The proposed control law guarantees that the closed-loop system has the desired eigenstructure, and the output asymptotically tracks the ramp-type reference signal in the presence of ramp-type external disturbances. The proposed method is superior to the existing results in that it provides all degrees of freedom in design, which are further used to suppress the effects of other complicated time-varying disturbances and parameter perturbations by minimizing certain performance indices. The proposed method is applied to the high accuracy tracking control system design for satellite optical communication. Simulation results verify the superiority of the proposed method over the traditional proportional-integral (PI) controller.

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References

  1. C. Johnson, “Optimal control of the linear regulator with constant disturbances,” IEEE Transactions on Automatic Control, vol. 13, no. 4, pp. 416–421, August 1968.

    Article  MathSciNet  Google Scholar 

  2. M. G. Skarpetis, F. N. Koumboulis, and A. S. Ntellis, “Robust control algorithms for a hydraulic actuator with variable displacement vane pump,” Proc. of IEEE 17th International Conference on Emerging Technologies & Factory Automation (ETFA), pp. 1–7, 2012.

  3. S. Qiang, X. L. Chen, and S. H. Yu, “Asymptotic tracking and disturbance rejection of servo systems,” Proc. of the 9th IEEE International Conference on Industrial Informatics, pp. 311–315, 2011.

  4. D. H. Kim, P. S. Pratama, P. T. Doan, S. J. Oh, H. K. Kim, Y. S. Jung, and S. B. Kim, “Application of servo controller design for speed control of AC induction motors using polynomial differential operator,” AETA 2015: Recent Advances in Electrical Engineering and Related Sciences, pp. 337–352, 2016.

  5. D. H. Kim, T. H. Nguyen, P. S. Pratama, H. K. Kim, Y. S. Jung, and S. B. Kim, “Servo system design for speed control of AC induction motors using polynomial differential operator,” International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp. 1207–1216, May 2017.

    Article  Google Scholar 

  6. T. H. Nguyen, J. W. Lee, H. K. Kim, T. P. Tran, Y. W. Choe, V. T. Dinh, and S. B. Kim, “Servo controller design for speed control of BLDC motors using polynomial differential operator method,” AETA 2015: Recent Advances in Electrical Engineering and Related Sciences, pp. 353–365, 2016.

  7. S. B. Kim, D. H. Kim, P. S. Pratama, J. W. Kim, H. K. Kim, S. J. Oh, and Y. S. Jung, “MIMO robust servo controller design based on internal model principle using polynomial differential operator,” AETA 2015: Recent Advances in Electrical Engineering and Related Sciences, pp. 469–484, 2016.

  8. T. H. Nguyen, D. H. Kim, S. J. Oh, H. K. Kim, and S. B. Kim, “Controller design for MIMO servo system using polynomial differential operator — A solution for increasing speed of an induction conveyor system,” Proc. of 2016 International Conference on Advanced Engineering Theory and Applications, pp. 529–542, 2016.

  9. A. Ma’arif, A. I. Cahyadi, S. Herdjunanto, and O. Wahyunggoro, “Tracking control of high order input reference using integrals state feedback and coefficient diagram method tuning,” IEEE Access, vol. 8, no. 1, pp. 182731–182741, October 2020.

    Article  Google Scholar 

  10. G. R. Duan, J. Y. Wang, T. Y. Zhao, and L. Zhang, “Parametric comprehensive optimization design of high accuracy tracking control system for satellite optical communication,” Control Theory & Applications (in Chinese), vol. 37, no. 3, pp. 469–480, March 2020.

    MATH  Google Scholar 

  11. G. R. Duan and T. Y. Zhao, “Parametric output regulation using observer-based PI controllers with applications in flexible spacecraft attitude control,” Science China Information Sciences, vol. 64, no. 1, Article number 172210, July 2021.

  12. G. R. Duan, “Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems,” IEEE Transactions on Automatic Control, vol. 38, no. 2, pp. 276–280, February 1993.

    Article  MathSciNet  Google Scholar 

  13. G. R. Duan, Generalized Sylvester Equations: Unified Parametric Solutions, London, Crc Press, 2015.

    Book  Google Scholar 

  14. G. R. Duan, G. P. Liu, and S. Thompson, “Disturbance attenuation in Luenberger function observer designs—A parametric approach,” IFAC Proceedings Volumes, vol. 33, no. 14, pp. 41–46, September 2000.

    Article  Google Scholar 

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Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P. O. Box 416, Harbin, 150001, China

    Tianyi Zhao & Guangren Duan

Authors
  1. Tianyi Zhao
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  2. Guangren Duan
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Corresponding author

Correspondence to Guangren Duan.

Additional information

This work was supported by the Major Program of National Natural Science Foundation of China [grant numbers 61690210 and 61690212], Self-Planned Task [grant number SKLRS201716A] of State Key Laboratory of Robotics and System (HIT) and the National Natural Science Foundation of China [grant number 61333003].

Tianyi Zhao received his B.S. degree in control science and engineering from Harbin Institute of Technology in 2018. In the same year, he was qualified to pursue a doctoral degree directly. He is currently pursuing a Ph.D. degree in navigation, guidance and control from Harbin Institute of Technology. His current research interests include robust control, eigenstructure, and spacecraft control.

Guangren Duan received his Ph.D. degree in control systems sciences from Harbin Institute of Technology in 1989. After a two-year post-doctoral experince at the same university, he became a professor of control systems theory at that university in 1991. He is currently an Academician of the Chinese Academy of Sciences, and Fellow of CAA, IEEE and IET. His main research interests include parametric control systems design, nonlinear systems, descriptor systems, spacecraft control, and magnetic bearing control.

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Zhao, T., Duan, G. Parametric Design for Proportional Plus Double Integral Controller with Applications to Tracking Control in Space Optical Communication. Int. J. Control Autom. Syst. 20, 2927–2936 (2022). https://doi.org/10.1007/s12555-021-0617-8

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  • DOI: https://doi.org/10.1007/s12555-021-0617-8

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