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Reseach Article

Article:Robust Sliding Mode Control for Systems with Noise and Unmodeled Dynamics based on Uncertainty and Disturbance Estimation (UDE)

by P. D. Shendge, Prasheel V. Suryawanshi, B. M. Patre
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 9
Year of Publication: 2010
Authors: P. D. Shendge, Prasheel V. Suryawanshi, B. M. Patre
10.5120/204-343

P. D. Shendge, Prasheel V. Suryawanshi, B. M. Patre . Article:Robust Sliding Mode Control for Systems with Noise and Unmodeled Dynamics based on Uncertainty and Disturbance Estimation (UDE). International Journal of Computer Applications. 1, 9 ( February 2010), 37-42. DOI=10.5120/204-343

@article{ 10.5120/204-343,
author = { P. D. Shendge, Prasheel V. Suryawanshi, B. M. Patre },
title = { Article:Robust Sliding Mode Control for Systems with Noise and Unmodeled Dynamics based on Uncertainty and Disturbance Estimation (UDE) },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 9 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 37-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number9/204-343/ },
doi = { 10.5120/204-343 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:45:28.215952+05:30
%A P. D. Shendge
%A Prasheel V. Suryawanshi
%A B. M. Patre
%T Article:Robust Sliding Mode Control for Systems with Noise and Unmodeled Dynamics based on Uncertainty and Disturbance Estimation (UDE)
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 9
%P 37-42
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper relates generally to sliding mode control (SMC) system based on uncertainty and disturbance estimation (UDE) and more particularly to a system, with the presence of high frequency measurement noise and unmodeled dynamics. Higher order dynamics are difficult to identify and remain excluded from theoretical model of the system, generally the main cause of instability. The presence of unmodeled dynamics results in undesirable oscillations, affects overall stability and leads to limited control performance. Uncertainty and disturbance estimator is presented for estimating the perturbation. External low-pass filter is used to filter out the high frequency noise and UDE to reduce sensitivity to sensor noise and instability effect due to unmodeled dynamics up to certain limit. With the help of low-pass filter and UDE, the undesirable oscillations can be suppressed and the system stability can also be improved by proper selection of estimation filter time constant of uncertainty and disturbance estimator.

References
  1. Kutay A. T., Calise A. J. and Hovakimayan N. 2003. Adaptive output feedback control with reduced sensitivity to sensor noise. In Proceedings of American Control Conference (Denver, Colorado, June 2003).
  2. Wang J., Chao S. Y. and Agogino M. 1999. Sensor noise model development of a longitudinal positioning system for AVCS. In ACC session FM11-1, (1999).
  3. How J. P. and Tilllerson M. 2001. Analysis of the impact of sensor noise on formation flying control. In Proceedings of American Control Conference (Arlington, VA, June 2001).
  4. Shendge P. D. and Patre B. M. 2006. Robust model following load frequency sliding mode controller based on uncertainty and disturbance estimator. In International Conference on Control (Glasgow, UK, August 2006).
  5. Shendge P. D. and Patre B. M. 2007. Robust model following load frequency sliding mode controller based on UDE and error improvement with higher order filter. IAENG Int. Journal of Applied Mathematics. 37, 1 (2007), 1–5.
  6. Shendge P. D. and Patre B. M. 2007. Error improvement of robust load frequency sliding mode controller based on uncertainty and disturbance estimator with higher order filter. In International Conference on Automation and Control (Hong Kong, March 2007).
  7. Fu L. C. 1991. New approach to robust model reference adaptive control for a class of plants. Int. Journal of Control. 53, 6 (1991), 1359–1375.
  8. Costa R. R. and Hsu L. 1992. Robustness of VS-MRAC with respect to unmodeled dynamics and external disturbance. Int. Journal of Adaptive and Signal Processing. 6 (1992), 19-33.
  9. Yan L., Lie Z. and Jianqin M. 1997. Variable structure robust adaptive control with unmodeled dynamics. In IEEE Conference on Decision and Control, (San Diego, California, December 1997).
  10. Krstic M., Sun J. and Kokotovic P. V. 1994. Control of feedback linearizable systems with input unmodeled dynamics. In IEEE conference on Decision and Control, (1994).
  11. Krstic M., Sun J. and Kokotovic P. V. 1996. Robust control of nonlinear systems with input unmodeled dynamics. IEEE Trans. on Automatic Control. 41, 6 (1996), 913–920.
  12. Jiang Z. P., Mareels I. and Pomet J. B. 1996. Controlling nonlinear systems with input unmodeled dynamics. In IEEE Conference on Decision and Control, (Kobe, Japan, December 1996).
  13. Hosek M., Moura J. T. and Elmali H. 2003. Observer-corrector control system for systems with unmodeled dynamics. United States Patent, no. US 6,567,711 B1, 1–20.
  14. Canale M. and Milanese M. 2001. Robust control of linear systems in presence of input saturation and unmodeled dynamics. ,” In IEEE Conference on Decision and Control, (Orlando, Florida, December 2001).
  15. Zhong Q. C. and Rees D. 2004. Control of uncertain LTI systems based on an uncertainty and disturbance estimator. Journal of Dynamic Systems, Measurement and Control. 126, (2004), 905–910.
  16. Ackerman J. and Utkin V. 1998. Sliding mode control design based on Ackermann’s formula. IEEE Transactions on Automatic Control. 43, 2 (1998), 234–237.
  17. Talole S. E. and Phadke S. B. 2008. Model following sliding mode control based on uncertainty and disturbance estimator. Journal of Dynamic Systems, Measurement and Control. 130, 3 (2008).
  18. Utkin V. and Shi J. 1996. Integral sliding mode in systems operating under uncertainty conditions. In IEEE Conference on Decision and Control. (Kobe, Japan, December 1996).
  19. Jiang Z. and Mareels I. 1996. Robust control nonlinear cascaded systems with input unmodeled dynamics. In IEEE Conference on Decision and Control. (Kobe, Japan, 1996).
  20. Shendge P. D. and Patre B. M. 2007. Analysis and the impact of sensor noise with uncertainty and disturbance estimator (UDE) in sliding mode control. In International conference on Sensors, Signal processing, Communication, Control and Instrumentation. (Pune, India, January 2008).
Index Terms

Computer Science
Information Sciences

Keywords

Sliding Mode Control Uncertainty and Disturbance Estimation Noise Unmodeled Dynamics