Skip to main content
SpringerLink
Log in

Sliding mode control for uncertain switched systems subject to actuator nonlinearity

  • Control Theory
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper considers the problem of sliding mode control for a class of uncertain switched systems subject to sector nonlinearities and dead-zone. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in the previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed and the corresponding sliding mode dynamics is obtained. A switching signal based on the average dwell time strategy is further proposed to ensure the exponential stability of the sliding mode dynamics. Moreover, it is shown that the reachability of the specified sliding surface can be ensured despite the presence of actuator nonlinearity, parameter uncertainties and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

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. D. Liberzon, Switching in Systems and Control, Boston, Birkhäuser, 2003.

    Book  MATH  Google Scholar 

  2. D. Liberzon and A. S. Morse, “Basic problems in stability and design of switched systems,” IEEE Control Systems, vol. 19, no. 5, pp. 59–70, 1999.

    Article  Google Scholar 

  3. Z. Sun, “Combined stabilizing strategies for switched linear systems,” IEEE Trans. on Automatic Control, vol. 51, no. 4, pp. 666–674, 2006.

    Article  Google Scholar 

  4. H. Lin and P. J. Antsaklis, “Stability and stabilization of switched linear systems: a survey of recent results,” IEEE Trans. on Automatic Control, vol. 54, no. 2, pp. 308–322, 2009.

    Article  MathSciNet  Google Scholar 

  5. L. Wu and J. Lam, “Sliding mode control of switched hybrid systems with time-varying delay,” International Journal of Adaptive Control and Signal Processing, vol. 22, no. 10, pp. 909–931, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  6. L. Wu, D. W. C. Ho, and C. W. Li, “Sliding mode control of switched hybrid systems with stochastic perturbation,” Systems and Control Letters, vol. 60, no. 8, pp. 531–539, 2001.

    Article  MathSciNet  Google Scholar 

  7. J. Lian, J. Zhao, and G. M. Dimirovski, “Robust H∞ sliding mode control for a class of uncertain switched delay systems,” International Journal of Systems Science, vol. 40, no. 8, pp. 855–866, 2009.

    Article  MathSciNet  Google Scholar 

  8. Y. Liu, T. Jia, Y. Niu, and Y. Zou, “Design of sliding mode control for a class of uncertain switched systems,” International Journal of Systems Science, DOI: 10.1080/00207721.2013.803635.

  9. L. Lu and Z. Lin, “Design of switched linear systems in the presence of actuator saturation,” IEEE Trans. on Automatic Control, vol. 53, no. 6, pp. 1536–1542, 2008.

    Article  MathSciNet  Google Scholar 

  10. A. Benzaouia, O. Akhrif, and L. Saydy, “Stabilization of switched systems subject to actuator saturation by output feedback,” Proc. of the 45th IEEE Conference on Decision and Control, pp. 777–782, 2006.

    Chapter  Google Scholar 

  11. K. C. Hsu, “Variable structure control design for uncertain dynamic systems with sector nonlinearities,” Automatica, vol. 34, no. 4, pp. 505–508, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  12. K. K. Shyu, W. J. Liu, and K. C. Hsu, “Decentralized variable structure control of uncertain large-scale systems containing a dead-zone,” IEE Proceedings, Control Theory and Application, vol. 150, no. 5, pp. 467–475, 2003.

    Article  Google Scholar 

  13. K. C. Hsu, W. Y. Wang, and P. Z. Lin, “Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones,” IEEE Trans. on Systems, Man and Cybernetics-Part B: Cybernetics, vol. 34, no. 1, pp. 374–380, 2004.

    Article  Google Scholar 

  14. B. Chen, J. M. Huang, and Y. Niu, “Sliding mode control for Markovian jumping systems with actuator nonlinearities,” International Journal of Systems Science, vol. 43, no. 4, pp. 656–664, 2012.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, 200237, China

    Yonghui Liu, Yugang Niu & Yuanyuan Zou

Authors
  1. Yonghui Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yugang Niu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yuanyuan Zou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yugang Niu.

Additional information

Recommended by Associate Editor Young Ik Son under the direction of Editor Zengqi Sun.

This work was supported by NNSF from China (61074041, 61273073, 61004062, 61374107).

Yonghui Liu received her M.Sc. degree from Yantai University in 2011. She is currently pursuing her Ph.D. degree in the Department of Automation at East China University of Science and Technology. Her research interests covers sliding mode control and switched systems. Yugang Niu is currently a Professor of East China University of Science and Technology. Now, he is an Associate Editor of the International Journal of System Sciences and Conference Editorial Board of IEEE Control Systems Society, and a member of Editorial board of IET Control Theory and Applications. His research interests include stochastic systems, sliding mode control, Markovian jump systems, networked control systems, wireless sensor network, congestion control.

Yuanyuan Zou is currently an Associate Professor with the School of Information Science and Engineering, East China University of Science and Technology. Her research interests include predictive control, network-based control systems and distributed control systems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Y., Niu, Y. & Zou, Y. Sliding mode control for uncertain switched systems subject to actuator nonlinearity. Int. J. Control Autom. Syst. 12, 57–62 (2014). https://doi.org/10.1007/s12555-013-0038-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-013-0038-4

Keywords

Search

Navigation