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An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances

Received: 9 February 2017     Accepted: 1 March 2017     Published: 22 March 2017
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Abstract

This paper presents an efficient proportional-plus-integral (PI) current-output observer-based linear quadratic discrete tracker (LQDT) design methodology for the non-minimum-phase (NMP) discrete-time system with equal input and output number, for which the minimalized dynamic system contains the unmeasurable system state and unknown external matched/mismatched input disturbances. Illustrative examples are given to demonstrate the effectiveness of the proposed approach.

Published in Automation, Control and Intelligent Systems (Volume 5, Issue 2)
DOI 10.11648/j.acis.20170502.11
Page(s) 14-28
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Optimal Linear Quadratic Tracker, State Estimator, Disturbance Estimator, Non-Minimum Phase System, Control Zeros

References
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[2] A. Radke and Z. Gao, “A survey of state and disturbance observers for practitioners,” Proceedings of the 2006 American Control Conference pp. 14–16, Minneapolis, Minnesota, 2006.
[3] H. C. Ting, J. I. Chang, and Y. P. Chen, “Proportional-derivative unknown input observer design using descriptor system approach for non-minimum phase systems,” International Journal of Control, Automation, and Systems, vol. 9 (5), pp. 850–856, 2011.
[4] A. Termehchy and A. Afshar, “A novel design of unknown input observer for fault diagnosis in non-minimum phase systems,” Smart Instrumentation, Measurement and Applications (ICSIMA), 2013 IEEE International Conference, pp. 1–6, Kuala Lumpur, 2013.
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[6] D. Tang, L. Chen, and E. Hu, “A novel unknown-input estimator for disturbance estimation and compensation,” Proceedings Australasian Conference on Robotics and Automations pp.116-1–116-8. The University of Melbourne of Melbourne, Melbourne, Vic, 2014.
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[8] F. Ebrahimzadeh, J. S. H. Tsai, M. C. Chung, Y. T. Liao, S. M. Guo, L. S. Shieh, and L. Wang “A generalized optimal linear quadratic tracker with universal applications-Part 2: Discrete-time systems,” International Journal of Systems Science, vol. 48 (2), 397–416, 2017.
[9] H. Su and G. Y. Tang, “Observer-based approximate optimal tracking control for time-delay systems with external disturbances,” International Journal of Systems Science, vol. 47 (12), pp. 2837–2846, 2016.
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[11] T. Ishiharaa and H. J. Guo, “Design of optimal disturbance cancellation controllers via modified loop transfer recovery,” Systems Science & Control Engineering: An Open Access Journal, vol. 3, pp. 332–339, 2015.
[12] W. Zhang, Y. Wang, Y. Liu, and W. Zhang, “Multivariable disturbance observer-based analytical decoupling control design for multivariable systems,” International Journal of Systems Science, vol. 47(1), pp. 179–193, 2015.
[13] J. L. Chang, “Applying discrete-time proportional integral observers for state and disturbance estimations,” IEEE Transactions on Automatic Control, vol. 51 (5), pp. 814–818, 2006.
[14] J. L. Chang, H. C. Ting, and Y. P. Chen, “Robust discrete-time output tracking controller design for non-minimum phase systems,” Journal of System Design and Dynamics, vol. 2 (4), pp. 950–961, 2008.
[15] K Abidi, J. X. Xu, and Y. Xinghuo, “On the discrete-time integral sliding mode control,” IEEE Transactions on Automatic Control, vol. 52 (4), pp. 709–715, 2007.
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Cite This Article
  • APA Style

    Jason Sheng-Hong Tsai, Faezeh Ebrahimzadeh, Yun-You Lin, Shu-Mei Guo, Leang-San Shieh, et al. (2017). An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances. Automation, Control and Intelligent Systems, 5(2), 14-28. https://doi.org/10.11648/j.acis.20170502.11

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    ACS Style

    Jason Sheng-Hong Tsai; Faezeh Ebrahimzadeh; Yun-You Lin; Shu-Mei Guo; Leang-San Shieh, et al. An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances. Autom. Control Intell. Syst. 2017, 5(2), 14-28. doi: 10.11648/j.acis.20170502.11

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    AMA Style

    Jason Sheng-Hong Tsai, Faezeh Ebrahimzadeh, Yun-You Lin, Shu-Mei Guo, Leang-San Shieh, et al. An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances. Autom Control Intell Syst. 2017;5(2):14-28. doi: 10.11648/j.acis.20170502.11

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  • @article{10.11648/j.acis.20170502.11,
      author = {Jason Sheng-Hong Tsai and Faezeh Ebrahimzadeh and Yun-You Lin and Shu-Mei Guo and Leang-San Shieh and Yau-Tarng Juang},
      title = {An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances},
      journal = {Automation, Control and Intelligent Systems},
      volume = {5},
      number = {2},
      pages = {14-28},
      doi = {10.11648/j.acis.20170502.11},
      url = {https://doi.org/10.11648/j.acis.20170502.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acis.20170502.11},
      abstract = {This paper presents an efficient proportional-plus-integral (PI) current-output observer-based linear quadratic discrete tracker (LQDT) design methodology for the non-minimum-phase (NMP) discrete-time system with equal input and output number, for which the minimalized dynamic system contains the unmeasurable system state and unknown external matched/mismatched input disturbances. Illustrative examples are given to demonstrate the effectiveness of the proposed approach.},
     year = {2017}
    }
    

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    T1  - An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances
    AU  - Jason Sheng-Hong Tsai
    AU  - Faezeh Ebrahimzadeh
    AU  - Yun-You Lin
    AU  - Shu-Mei Guo
    AU  - Leang-San Shieh
    AU  - Yau-Tarng Juang
    Y1  - 2017/03/22
    PY  - 2017
    N1  - https://doi.org/10.11648/j.acis.20170502.11
    DO  - 10.11648/j.acis.20170502.11
    T2  - Automation, Control and Intelligent Systems
    JF  - Automation, Control and Intelligent Systems
    JO  - Automation, Control and Intelligent Systems
    SP  - 14
    EP  - 28
    PB  - Science Publishing Group
    SN  - 2328-5591
    UR  - https://doi.org/10.11648/j.acis.20170502.11
    AB  - This paper presents an efficient proportional-plus-integral (PI) current-output observer-based linear quadratic discrete tracker (LQDT) design methodology for the non-minimum-phase (NMP) discrete-time system with equal input and output number, for which the minimalized dynamic system contains the unmeasurable system state and unknown external matched/mismatched input disturbances. Illustrative examples are given to demonstrate the effectiveness of the proposed approach.
    VL  - 5
    IS  - 2
    ER  - 

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Author Information
  • Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

  • Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

  • Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

  • Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

  • Department of Electrical and Computer Engineering, University of Houston, Houston, Texas, United States of America

  • Department of Electrical Engineering, National Central University, Taoyuan, Taiwan, Republic of China

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