Skip to main content

Nonlinear Discrete Time Sliding Mode Control Applied to Pumping System

  • Chapter
  • First Online:
Advances and Applications in Nonlinear Control Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 635))

  • 2304 Accesses

Abstract

In this chapter, a discrete time Indirect Field Oriented Control (IFOC) by sliding mode applied to pumping system is studied. The main contribution of this work is to design a novel form of switching surfaces which presented by an addition of an integral term into the considered sliding surfaces. First, an overview of pumping system is presented. Second, sliding mode controllers are designed by using the new concept of proposed switching surfaces. Then, the stability of digitized sliding mode control pumping system is investigated. After that, a comparative study is given to validate the proposed control. To illustrate the effectiveness of the proposed controllers, simulation results is developed and discussed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Argha A, Li L, Su SW, Hung N (2013) The application of discrete sliding mode control inparabolic PDE dynamics. In: Australian control conference, 4–5 November

    Google Scholar 

  2. Bartoszewicz A (1998) Discrete-time quasi-sliding-mode control strategies. IEEE Trans Ind Electron 45:633–637

    Article  Google Scholar 

  3. Castillo-Toledo B, Gennarro DS, Loukianov AG, Rivera J (2004) On the discrete-time modelling and control of induction motors with sliding modes. In: Proceeding of the 2004 American control conference Boston, 30 June– 02 July

    Google Scholar 

  4. Castillo-Toledo B, Gennaro DS, Galicia MI, Loukianov AG, Rivera J (2010) Indirect discrete-time sliding mode torque control of induction motors. In: XIX international conference on electrical machines - ICEM

    Google Scholar 

  5. Chihi A, Chbeb A, Sellami A (2015) Switching function optimization of sliding mode control to a photovoltaic pumping system. Advances and applications in sliding mode control systems. Springer, New York, pp 463–493

    Google Scholar 

  6. Ching-Tsai P, Ting-Yu C, Chin-Ming H (1994) A fixed structure discrete-time sliding mode controller for induction motor drives. IEEE Trans Energy Convers 9:645–651

    Article  Google Scholar 

  7. Furuta K, Morisada M (1988) Implementation of sliding mode control by a digital computer. In: 14 annual conference of industrial electronics society IECON’88, vol 2, pp 453–458

    Google Scholar 

  8. Galicia M, Castillo-Toledo B, Gennaro DD, Loukianiv A (2010) Discrete time sliding mode torque control of induction motor. World Automation Congress TS1 Press

    Google Scholar 

  9. Gao W, Yufu W, Homaifa A (1995) Discrete-time variable structure control systems. IEEE Trans Ind Electron 42:117–122

    Article  Google Scholar 

  10. Lim K-W, Teck-Seng L, Rahman MF, Liang-Boon W (1991) A discrete time variable structure controller for brushless DC motor drive. IEEE Trans Ind Electron 38:102–107

    Article  Google Scholar 

  11. Monaco S (1984) On the realization of nonlinear discrete time systems. Syst Control Lett 5:145–152

    Article  MathSciNet  MATH  Google Scholar 

  12. Monaco S, Noramand-Cyrot D (1977) A unified representation for nonlinear discrete time and sampled dynamics. J Math Syst Estim Control 7:477–503

    MathSciNet  Google Scholar 

  13. Monaco S, Normand-Cyrot D (2010) Nonlinear average passivity and stabilizing controllers in discrete time. Syst Control Lett 60:431–439

    Article  MathSciNet  MATH  Google Scholar 

  14. Monaco S, Normand-Cyrot D (2012) Nonlinear optimal stabilizing control in discrete time. In: American conference Fairmont Queen Elizabeth

    Google Scholar 

  15. Pan S, Edelberg K, Hedrick KJ (2014) Discrete adaptive sliding control of automotive powertrains. In: American control conference (ACC)

    Google Scholar 

  16. Shaocheng Q, Xiaohua X, Jiangfeng Z (2014) Dynamics of discrete-time sliding-mode-control uncertain systems with a disturbance compensator. IEEE Trans Ind Electron 61:3502–3510

    Article  Google Scholar 

  17. Shihua L, Haibo D, Xinghuo Y (2014) Discrete-time terminal sliding mode control systems based on Euler’s discretization. IEEE Trans Autom Control 59:546–552

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Asma Chihi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Chihi, A., Sellami, A. (2016). Nonlinear Discrete Time Sliding Mode Control Applied to Pumping System. In: Vaidyanathan, S., Volos, C. (eds) Advances and Applications in Nonlinear Control Systems. Studies in Computational Intelligence, vol 635. Springer, Cham. https://doi.org/10.1007/978-3-319-30169-3_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30169-3_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30167-9

  • Online ISBN: 978-3-319-30169-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics