An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances
Automation, Control and Intelligent Systems
Volume 5, Issue 2, April 2017, Pages: 14-28
Received: Feb. 9, 2017; Accepted: Mar. 1, 2017; Published: Mar. 22, 2017
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Authors
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
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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.
Keywords
Optimal Linear Quadratic Tracker, State Estimator, Disturbance Estimator, Non-Minimum Phase System, Control Zeros
To cite this article
Jason Sheng-Hong Tsai, Faezeh Ebrahimzadeh, Yun-You Lin, Shu-Mei Guo, Leang-San Shieh, Yau-Tarng Juang, An Efficient Robust Servo Design for Non-Minimum Phase Discrete-Time Systems with Unknown Matched/Mismatched Input Disturbances, Automation, Control and Intelligent Systems. Vol. 5, No. 2, 2017, pp. 14-28. doi: 10.11648/j.acis.20170502.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.
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