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

Jason Sheng-Hong Tsai; Faezeh Ebrahimzadeh; Yun-You Lin; Shu-Mei Guo; Leang-San Shieh; Yau-Tarng Juang

doi:doi:10.11648/j.acis.20170502.11

| Peer-Reviewed

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

Jason Sheng-Hong Tsai, Faezeh Ebrahimzadeh, Yun-You Lin, Shu-Mei Guo, Leang-San Shieh, Yau-Tarng Juang

Published in Automation, Control and Intelligent Systems (Volume 5, Issue 2)

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2024. Published by Science Publishing Group

Keywords

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

References

[1]	M. S. Chen and C. C. Chen, “Unknown input observer for linear non-minimum phase systems,” Journal of the Franklin Institute, vol. 347 (2), pp. 577–588, 2010.
[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.
[5]	J. H. She, M. Fang, Y. Ohyama, H. Hashimoto, and M. Wu, “Improving disturbance-rejection performance based on an equivalent-input-disturbance approach,” IEEE Transactions on Industrial Electronics, vol. 55 (1), pp. 380–389, 2008.
[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.
[7]	F. Ebrahimzadeh, J. S. H. Tsai, Y. T. Liao, M. C. Chung, S. M. Guo, L. S. Shieh, and L. Wang, “A generalized optimal linear quadratic tracker with universal applications-Part 1: Continuous-time systems,” International Journal of Systems Science, vol. 48 (2), pp. 376–396, 2017.
[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.
[10]	J. Yang, Y. Chen, F. Zhu, and F. Wang, “Simultaneous state and output disturbance estimations for a class of switched linear systems with unknown inputs,” International Journal of Systems Science, 2016, published online DOI:10.1080/00207721.2016.1144227.
[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.
[16]	L. P. Wang, “Model Predictive Control System Design and Implementation using MATLAB,” London: Springer, 2009.
[17]	F. Ding and T. Chen, “Gradient based iterative algorithms for solving a class of matrix equation,” IEEE Transactions on Automatic Control, vol. 50 (8), pp. 216–1221, 2005.
[18]	L. Benvenuti, M. D. Di Benedetto, and J. W. Grizzle, “Approximate output tracking for nonlinear non-minimum phase systems with an application to flight control,” International Journal of Robust and Nonlinear Control, vol. 4 (3), pp. 397–414, 1994.

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
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  -

Copy | Download

Author Information

Jason Sheng-Hong Tsai

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

Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China
Yun-You Lin

Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China
Shu-Mei Guo

Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China
Leang-San Shieh

Department of Electrical and Computer Engineering, University of Houston, Houston, Texas, United States of America
Yau-Tarng Juang

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

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
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  -

Copy | Download