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The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems

by Omar Zakary, Mostafa Rachik, Samih Lazaiz
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 161 - Number 2
Year of Publication: 2017
Authors: Omar Zakary, Mostafa Rachik, Samih Lazaiz
10.5120/ijca2017913125

Omar Zakary, Mostafa Rachik, Samih Lazaiz . The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems. International Journal of Computer Applications. 161, 2 ( Mar 2017), 1-6. DOI=10.5120/ijca2017913125

@article{ 10.5120/ijca2017913125,
author = { Omar Zakary, Mostafa Rachik, Samih Lazaiz },
title = { The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems },
journal = { International Journal of Computer Applications },
issue_date = { Mar 2017 },
volume = { 161 },
number = { 2 },
month = { Mar },
year = { 2017 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume161/number2/27117-2017913125/ },
doi = { 10.5120/ijca2017913125 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:06:37.313961+05:30
%A Omar Zakary
%A Mostafa Rachik
%A Samih Lazaiz
%T The Robust Output Tracking Problem for a Class of Discrete-time Linear Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 161
%N 2
%P 1-6
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design a robust tracking controllers for this class of linear systems is proposed. First, it is assumed that system states must be fully accessible. The system is controlled to track dynamic outputs generated by a reference model. By using the the Lyapunov stability, the convergence of the tracking error to the origin, is proved. An application to a class of disturbed systems is considered. Numerical examples are given to demonstrate the validity of our results. Second, it is assumed that the system states are not accessibles. An observer is designed firstly, and then based on the observed states the controller is designed. The proposed approach employs linear controllers rather than nonlinear ones. Therefore, the designing method is simple for use and the resulting controller is easy to implement.

References
  1. Hopp, T. H., & Schmitendorf,W. E. (1990). Design of a linear controller for robust tracking and model following. Journal of dynamic systems, measurement, and control, 112(4), 552- 558.
  2. Oucheriah, S. (1999). Robust tracking and model following of uncertain dynamic delay systems by memoryless linear controllers. Automatic Control, IEEE Transactions on, 44(7), 1473-1477.
  3. Lawrence, D. A., & Rugh, W. J. (1995). Gain scheduling dynamic linear controllers for a nonlinear plant. Automatica, 31(3), 381-390.
  4. Ni, M., & Li, G. (2006). A direct approach to the design of robust tracking controllers for uncertain delay systems. Asian Journal of Control, 8(4), 412.
  5. Ni, M. L., Er, M. J., Leithead, W. E., & Leith, D. J. (2001). New approach to the design of robust tracking and model following controllers for uncertain delay systems. IEE Proceedings-Control Theory and Applications, 148(6), 472- 477.
  6. Basher, A. H., Mukundan, R., & O’CONNOR, D. A. (1986). Memoryless feedback control in uncertain dynamic delay systems. International Journal of Systems Science, 17(3), 409- 415.
  7. Shyu, K. K., & Chen, Y. C. (1995). Robust tracking and model following for uncertain time-delay systems. International Journal of Control, 62(3), 589-600.
  8. Corless, M., Leitmann, G., & Ryan, E. P. (1984, September). Tracking in the presence of bounded uncertainties. In 4th Int. Conf. Control Theory, Cambridge, UK.
  9. Corless, M., Goodall, D. P., Leitmann, G., & Ryan, E. P. (1985). Model-following controls for a class of uncertain dynamical systems. In Proceedings of the 7th IFAC Symposium on Identification and System Parameter Estimation, York University, York, England.
  10. Wu, H. S. (2000). Robust tracking and model following control with zero tracking error for uncertain dynamical systems. Journal of Optimization Theory and Applications, 107(1), 169-182.
  11. Wu, H. (2004). Adaptive robust tracking and model following of uncertain dynamical systems with multiple time delays. Automatic Control, IEEE Transactions on, 49(4), 611-616.
  12. Fridman, E. (2002). Effects of small delays on stability of singularly perturbed systems. Automatica, 38(5), 897-902.
  13. P. (1997). Stability of perturbed systems with time-varying delays. Systems & Control Letters, 31(3), 155-163.
  14. Floquet, T., Barbot, J. P., & Perruquetti, W. (2003). Higherorder sliding mode stabilization for a class of nonholonomic perturbed systems. Automatica, 39(6), 1077-1083.
  15. Assawinchaichote, W., & Nguang, S. K. (2004). H? filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach. Signal Processing, IEEE Transactions on, 52(6), 1659-1667.
  16. Chen, W., Jiao, L., Li, R., & Li, J. (2010). Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances. Fuzzy Systems, IEEE Transactions on, 18(4), 674-685.
  17. Zakary, O., & Rachik, M. (2016). The $\ epsilon $-capacity of a gain matrix and tolerable disturbances: Discrete-time perturbed linear systems. arXiv preprint arXiv:1608.00426.
  18. Zakary, O., & Rachik, M. (2016). Applied Lyapunov Stability on Output Tracking Problem for a Class of Discrete-Time Linear Systems. arXiv preprint arXiv:1607.02744.
Index Terms

Computer Science
Information Sciences

Keywords

Robust tracking model following discrete-time systems disturbances observer

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