Skip to main content
SpringerLink
Log in

Robust observer-driven switching stabilization of switched linear systems

  • Published:
Journal of Control Theory and Applications Aims and scope Submit manuscript

Abstract

In this work, we study the robust observer-driven switching stabilization problem of switched linear systems. Under the condition that each subsystem is completely observable, with the observer-driven switching law which makes the system exponentially stable for the nominal system, we prove that the overall system is robust against structural/switching perturbations and is input/output to state stable for unstructural perturbations.

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, MA: Birkhauser, 2003.

    Book  MATH  Google Scholar 

  2. H. Lin, P. J. Antsaklis. Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Transactions on Automatic Control, 2009, 54(2): 308–322.

    Article  MathSciNet  Google Scholar 

  3. Z. Sun, S. S. Ge. Switched Linear Systems: Control and Design. London: Springer, 2005.

    MATH  Google Scholar 

  4. R. A. Decarlo, M. S. Branicky, S. Pettersson, et al. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 2000, 88(7): 1069–1082.

    Article  Google Scholar 

  5. H. Lin, P. J. Antsaklis. Switching stabilizability for continous-time uncertain switched linear systems. IEEE Transactions on Automatic Control, 2007, 52(4): 633–646.

    Article  MathSciNet  Google Scholar 

  6. M. Babaali, G. J. Pappas. Observability of switched linear systems in continuous time. Hybrid Systems: Computation and Control. New York: Springer, 2005: 103–117.

    Chapter  Google Scholar 

  7. J. P. Hespanha, D. Liberzon, D. Angeli, et al. Nonlinear normobservability notions and stability of switched systems. IEEE Transactions on Automatic Control, 2005, 50(2): 154–168.

    Article  MathSciNet  Google Scholar 

  8. S. Pettersson. Synthesis of switched linear systems. Proceeding of the 42nd IEEE Conference on Decision and Control. New York: IEEE, 2003: 5283–5288.

    Google Scholar 

  9. Z. Sun, S. S. Ge. Stability Theory of Switched Dynamical Systems. London: Springer, 2011.

    Book  MATH  Google Scholar 

  10. G. Xie, L. Wang. Periodic stabilizability of switched linear control systems. Automatica, 2009, 45(9): 2141–2148.

    Article  MathSciNet  MATH  Google Scholar 

  11. Z. Sun. Combined stabilizing strategies for switched linear systems. IEEE Transactions on Automatic Control, 2006, 51(4): 666–674.

    Article  Google Scholar 

  12. Z. Sun. Robust switching of discrete-time switched linear systems. Automatica, 2012, 48(1): 239–242.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Wu, Z. Sun. Observer-driven switching stabilization of switched linear systems. IEEE Multi-conference on System and Control. New York: IEEE, 2011: 1524–1527.

    Google Scholar 

  14. Z. Sun, S. S. Ge. On stability of switched linear systems with perturbed switching paths. Journal of Control Theory and Applications, 2006, 4(1): 18–25.

    Article  MathSciNet  MATH  Google Scholar 

  15. M. A. Muller, D. Liberzon. Input/output-to-state stability of switched nonlinear systems. Proceedings of the American Control Conference. Piscataway: IEEE, 2010: 1708–1712.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Automation Science and Engineering, South China University of Technology, Guangzhou Guangdong, 510640, China

    Jun Wu & Zhendong Sun

Authors
  1. Jun Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhendong Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jun Wu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 60925013, 60736024, U0735003).

Jun WU received her B.S. degree in 2006, Xiangtan University. Currently, she is a Ph.D. candidate at South China University of Technology. Her research interests include hybrid systems.

Zhendong SUN is a professor at South China University of Technology. His research interests are in the fields of nonlinear control systems, switched and hybrid systems, and sampled data systems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, J., Sun, Z. Robust observer-driven switching stabilization of switched linear systems. J. Control Theory Appl. 11, 69–73 (2013). https://doi.org/10.1007/s11768-013-2011-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-013-2011-4

Keywords

Search

Navigation