Skip to main content
SpringerLink
Log in

Decentralized discrete-time quasi-sliding mode control of uncertain linear interconnected systems

  • Regular Papers
  • Control Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

In this paper, a new global decentralized discrete-time quasi-sliding mode control of linear interconnected systems is presented. The proposed controller is free of chattering problem and can be applied to a broader class of large-scale systems. Additionally, it is capable to deal with both known and unknown interconnections among the subsystems. Stability of the reduced-order interconnected systems is analyzed using Lyapunov approach. The proposed decentralized controller guarantees the reachability of the connective sliding manifold. The resultant dynamics are proved to be globally asymptotically stable. Furthermore, the controller is made robust to external disturbances by employing a disturbance estimation scheme. The simulations are performed on model of a two-area power generation system and the results show the efficacy of the proposed scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. S. Mahmoud, Decentralized Control and Filtering for Interconnected Dynamical Systems, CRC Press, New York, 2012.

    Google Scholar 

  2. D. D. Siljak, Decentralized Control of Complex Systems, Academic Press Inc., San Diego, CA, 1991.

    MATH  Google Scholar 

  3. G. Pujol, J. M. Rossell, and F. Pozo, “Decentralized reliable guaranteed cost control of uncertain systems: an LMI design,” IET Control Theory Appl., vol. 1, no. 3, pp. 779–785, 2007.

    Article  Google Scholar 

  4. L. Bakule, “Decentralized control and communication: an overview,” Annual Reviews in Control, vol. 32, no. 1, pp. 87–98, April 2008

    Article  MathSciNet  Google Scholar 

  5. V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electro-Mechanical Systems, 2nd ed., CRC Press, London, 2009.

    Book  Google Scholar 

  6. A. Qadeer and A. I. Bhatti, “Estimating SI engine efficiencies and parameters in second-order sliding modes,” IEEE Trans. on Industrial Electronics, vol. 58, no. 10, pp. 4837–4846, 2011.

    Article  Google Scholar 

  7. S. H. Qaiser, A. I. Bhatti, M. Iqbal, R. Samar, and J. Qadir, “Model validation and higher order sliding mode controller design for a research reactor,” Annals of Nuclear Energy, vol. 36, no. 1, pp. 37–45, 2009.

    Article  Google Scholar 

  8. A. Bartoszewicz, “Discrete-time quasi-sliding-mode control strategies,” IEEE Trans. on Industrial Electronics, vol. 45, no. 4, pp. 633–637, 1998.

    Article  Google Scholar 

  9. S. V. Drakunov and V. I. Utkin, “On discrete-time sliding mode control,” Proc. IFAC Symposium on Nonlinear Control System Design, Capry, Italy, pp. 484–489, 1989.

    Google Scholar 

  10. K. Furuta, “Sliding mode control of a discrete system,” System and Control Letters, vol. 14, no. 2, pp. 145–152, 1989.

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Sarpturk, Y. Istefanopulos, and O. Kaynak, “On the stability of discrete-time sliding mode control systems,” IEEE Trans. on Automatic Control, vol. 32, no. 10, pp. 931–932, 1987.

    Article  MATH  Google Scholar 

  12. A. Sabanovic, L. M. Fridman, and S. Spurgeon, Variable Structure Systems: From Principles to Implementation, IET Control Engineering Series, no. 66, New York, 2004.

    Book  MATH  Google Scholar 

  13. K. B. Park, “Discrete-time sliding mode controller for linear time-varying systems with disturbances,” Transaction on Control Automation, and Systems Engineering, vol. 2, no. 4, pp. 244–247, December 2000.

    MathSciNet  Google Scholar 

  14. K. C. Hsu, “Decentralized variable-structure control design for uncertain large-scale systems with series nonlinearities,” International Journal of Control, vol. 68, no. 6, pp. 1231–1240, 1997.

    Article  MathSciNet  MATH  Google Scholar 

  15. G. P. Mattheuv and R. A. DeCarlo, “Decentralized variable structure control of interconnected multiinput multi-output nonlinear systems,” Proc. of 24th Conference on Decision and Control, pp. 1719–1725, December 1985.

    Google Scholar 

  16. X. G. Yan, C. Edwards, and S. K. Spurgeon, “Global decentralized static output feedback slidingmode control for interconnected time-delay systems,” IET Control Theory and Applications, vol. 6, no. 2, pp. 192–202, 2012.

    Article  MathSciNet  Google Scholar 

  17. M. S. Mahmoud and A. Qureshi, “Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems,” Automatica, vol. 48, no. 5, pp. 808–814, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  18. B. Veselic, C. Milosavljevic, and D. Mitic, “Digitally controlled sliding mode based servo-systems with active disturbance estimator,” Proc. 9th IEEE Int. Workshop on Variable Structure Systems, Alghero, Italy, pp. 51–56, 2006.

    Google Scholar 

  19. M. Gamshidi, Large Scale Systems: Modeling, Control and Fuzzy Logic, Prentice Hall Inc., Upper Saddle River, New Jersey, 1996.

    Google Scholar 

  20. H. K. Khalil, Nonlinear Systems, Prentice Hall, Upper Saddle River, New Jersy, 2002.

    MATH  Google Scholar 

  21. F. L. Lewis, S. Jagannathan, and A. Yesilderek, Neural Network Control of Robot Manipulator and Nonlinear Systems, Taylor and Francis, London, 1998.

    Google Scholar 

  22. X. G. Yan, C. Edwards, S. K. Spurgeon, and J. A. M. Bleijs, “Decentralized sliding-mode control for multimachine power systems using only output information,” IEE Proc. Control Theory Applications, vol. 151, no. 5, pp. 627–635, September 2004.

    Article  Google Scholar 

  23. M. S. Mahmoud, “Decentralized stabilization approach for interconnected discrete-time delay systems with bounded non-linearities,” IMA J. Math. Control & Information vol. 27 no. 2, pp. 165–188, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  24. Y. L. Abdel-Magid and M. A. Abido, “AGC Tuning of Interconnected Reheat Thermal Systems with Particle Swarm Optimization,” Proc. 10th IEEE International Conference on Electronics, Circuits, and Systems, Sharjah, United Arab Emirates, pp. 376–379, December 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Systems Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia

    Aminuddin Qureshi

  2. Electrical Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia

    Mohamed Ali Abido

  3. Electrical Engineering Department, Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt

    Mohamed Ali Abido

Authors
  1. Aminuddin Qureshi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohamed Ali Abido
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mohamed Ali Abido.

Additional information

Recommended by Editor Ju Hyun Park.

The authors would like to acknowledge the support provided by King Abdulaziz City for Science and Technology (KACST) through the Science and Technology Unit at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through project No. 09-ENE-773-04 as a part of the National Science, Technology and Innovation Plan.

Aminuddin Qureshi obtained his B.Sc. degree in Electrical Engineering in 2001 from N.W.F.P. Univ. of Eng. & Tech., Peshawar and his M.Sc. degree in Systems Engineering in 2003 from Pakistan Institute of Engineering and Applied Sciences Islamabad-Pakistan. From 2003 to 2010 he worked in Informatics Complex Pakistan, on several R&D projects in the area of digital signal processing. Currently, he is pursuing his Ph.D. studies at the Systems Engineering department of KFUPM-Saudi Arabia. His areas of research are control theory and signal processing.

Mohamed Ali Abido received his B.Sc. (Honors with first class) and M.Sc. degrees in EE from Menoufiya University, Shebin El-Kom, Egypt, in 1985 and 1989, respectively, and his Ph.D. degree from King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Arabia, in 1997. He has been with the EE Dept., Menoufiya University as an Assistant Professor since 1998. He is currently a Professor at KFUPM. His research interests are power system stability, planning, operation, and optimization techniques applied to power systems. Dr. Abido is the recipient of KFUPM Excellence in Research Award, 2002, 2007 and 2012, KFUPM Best Project Award, 2007 and 2010, First Prize Paper Award of the Industrial Automation and Control Committee of the IEEE Industry Applications Society, 2003, Abdel-Hamid Shoman Prize for Young Arab Researchers in Engineering Sciences, 2005, Best Applied Research Award of 15th GCC-CIGRE Conference, Abu-Dhabi, UAE, 2006, and Best Poster Award, International Conference on Renewable Energies and Power Quality (ICREPQ’13), Bilbao, Spain, 2013. Dr. Abido has published more than 200 papers in reputable journals and international conferences.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qureshi, A., Abido, M.A. Decentralized discrete-time quasi-sliding mode control of uncertain linear interconnected systems. Int. J. Control Autom. Syst. 12, 349–357 (2014). https://doi.org/10.1007/s12555-013-0155-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-013-0155-0

Keywords

Search

Navigation