Skip to main content

Reliable Control of Fuzzy Descriptor Systems with Time-Varying Delay

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

The reliable fuzzy controller design problem of T-S fuzzy descriptor systems with time-varying delay is introduced. Based on linear matrix inequality approach, a less conservative reliable controller design method is presented. The resulting fuzzy control systems are reliable in the sense that asymptotic stability is achieved not only when all control components are operating well, but also in the presence of some component failures. Moreover, the result is extended to the case of observer-based reliable fuzzy control.Two numerical examples are also given to illustrate the design procedures and their effectiveness.

Supported by Natural Science Foundation of Liaoning Province (No.20042001).

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Veillette, R.J., Medanic, J.V., Perkins, W.R.: Design of reliable control systems. IEEE Trans. Automat. Control 37, 290–304 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  2. Veillette, R.J.: Reliable linear-quadratic state-feedback control. Int. J. Control 31, 137–143 (1995)

    MATH  MathSciNet  Google Scholar 

  3. Yang, G.H., Lam, J., Wang, J.: Reliable H  ∞  control for affine nonlinear systems. IEEE Trans. Automat. Control 43, 1112–1117 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  4. Liang, Y.W., Liaw, D., Lee, T.: Reliable control of nonlinear systems. IEEE Trans. Automat. Control 45, 706–710 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics 15, 116–132 (1985)

    MATH  Google Scholar 

  6. Wu, H.: Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults. IEEE Transactions on Systems, Man, and Cybernetics 34, 1743–1752 (2004)

    Article  Google Scholar 

  7. Wu, H.: Reliable mixed L2/H  ∞  fuzzy static output feedback control for nonlinear systems with sensor faults. Automatica 41, 1925–1932 (2005)

    Article  MATH  Google Scholar 

  8. Chen, B., Liu, X.P.: Reliable control design of fuzzy dynamic systems with time-varying delay. Fuzzy Sets and Systems 146, 349–374 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Taniguchi, T., Tanaka, K., Yamafuji, K., Wang, H.O.: Fuzzy descriptor systems: stability analysis and design via LMIs, San Diego, pp. 1827–1831 (1999)

    Google Scholar 

  10. Taniguchi, T., Tanaka, K., Wang, H.O.: Fuzzy descriptor systems and fuzzy controller designs, Taipei, Taiwan, pp. 655–659 (1999)

    Google Scholar 

  11. Liu, X.P.: Robust stabilization of nonlinear singular systems, 2375–2376 (1995)

    Google Scholar 

  12. Wang, Y., Xie, L., De, S.: Robust control of a class of uncertain nonlinear systems. Systems Control Letter 19, 139–149 (1992)

    Article  Google Scholar 

  13. Kim, E., Lee, H.: New approaches to relaxed quadratic stability condition of fuzzy control systems. Control 8, 523–534 (2000)

    Google Scholar 

  14. Liu, X.D., Zhang, Q.L.: New approaches to H  ∞  controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica 39, 1571–1582 (2003)

    Article  MATH  Google Scholar 

  15. Lin, C., Wang, Q.G., Lee, T.H.: Improvement on observer-bsed H  ∞  control for T-S fuzzy systems. Automatica 41, 1651–1656 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. Wang, Y., Sun, Z.Q., Sun, F.C.: Robust fuzzy control of a class of nonlinear descriptor systems with time-varying delay. International Journal of Control, Automation and Systems 2, 76–82 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yuan, Y., Yuan, Z., Zhang, Q., Zhang, D., Chen, B. (2006). Reliable Control of Fuzzy Descriptor Systems with Time-Varying Delay. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_19

Download citation

  • DOI: https://doi.org/10.1007/11881599_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics