Skip to main content
SpringerLink
Log in

Design of controllers for a class of switched nonlinear systems based on backstepping method

  • Research Article
  • Published:
Frontiers of Electrical and Electronic Engineering in China

Abstract

The backstepping method is applied to a certain class of switched nonlinear systems to design state feedback controllers and a switching law based on multi-Lyapunov functions. The state feedback controllers and the switching law that can stabilize the system are developed. The switched nonlinear systems with uncertainties can be stabilized robustly by using the proposedmethod. Finally, simulation results show the effectiveness of the 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. Decarlo R A, Branicky M S, Pettersson S, et al. Perspective and results on the stability and stabilizability of hybrid system. In: Proceedings of the IEEE. 2000, 88(7): 1069–1082

    Article  Google Scholar 

  2. Cheng D Z, Guo Y Q. Advances on switched systems. Control Theory and Applications, 2005, 22(6): 954–960 (in Chinese)

    MathSciNet  Google Scholar 

  3. Song Y, Xiang Z R, Chen Q W, et al. Control of switched systems with actuator saturation. Journal of Control Theory and Applications, 2006, 4(1): 38–43

    Article  MathSciNet  Google Scholar 

  4. Song Y, Xiang Z R, Chen Q W, et al. Analysis of sliding mode in planar switched systems. Acta Automatica Sinica, 2005, 31(5): 743–749

    MathSciNet  Google Scholar 

  5. Malmborg J, Bernhardsson B, Astrom K J. A stabilizing switching scheme for multi controller systems. In: Proceedings of 13th IFAC. 1996, 229–234

  6. Pettersson S. Analysis and design of hybrid systems. Dissertation for the Doctoral Degree. Sweden: Chalmers University of Technology, 1999

    Google Scholar 

  7. Zhao S Z, Li J H, Zhao J. Uniform normal form and stabilizability of single-input single-output switched systems. Control and Decision, 2005, 20(10): 1161–1164 (in Chinese)

    MATH  Google Scholar 

  8. Sun H F, Zhao J. Control Lyapunov functions for switched control systems. In: Proceedings of the American Control Conference. 2001, 3: 1890–1891

    Google Scholar 

  9. Khalil H K. Nonlinear Systems. 2nd ed. Prentice-Hall, 1996

Download references

Author information

Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zhengrong Xiang & Weiming Xiang

Authors
  1. Zhengrong Xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Weiming Xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhengrong Xiang.

Additional information

__________

Translated from Control and Decision, 2007, 22(12): 1373–1376 [译自: 控制与决策]

About this article

Cite this article

Xiang, Z., Xiang, W. Design of controllers for a class of switched nonlinear systems based on backstepping method. Front. Electr. Electron. Eng. China 3, 465–469 (2008). https://doi.org/10.1007/s11460-008-0074-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11460-008-0074-7

Keywords

Search

Navigation