Skip to main content

Robust Absolute Stability Analysis for Uncertain Fuzzy Neutral Systems

  • Conference paper
Fuzzy Information and Engineering 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 78))

  • 1060 Accesses

Abstract

This paper considers the robust absolute stability issues for a class of T-S fuzzy uncertain neutral systems with delays. The uncertainties considered in this paper are norm bounded, and possible time-varying. Based on Lyapunov-Krasovskii functional and linear matrix inequalities approach, the absolute robust stabilization of the fuzzy uncertain neutral systems can be achieved. Two examples are 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 chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. SMC 15, 116–132 (1985)

    MATH  Google Scholar 

  2. Hale, J.K.: Theory of Functional Differential Equations. Springer, New York (1977)

    MATH  Google Scholar 

  3. Cao, Y.Y., Frank, P.M.: Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach. IEEE Trans. Fuzzy Syst. 8, 200–211 (2000)

    Article  Google Scholar 

  4. Kolmanovskii, V., Myshkis, A.: Applied Theory of Functional Differential Equations. Kluwer Academic Publishers, Netherlands (1992)

    Google Scholar 

  5. Rubanik, V.P.: Oscillations of quasilinear systems having delay, Izd. Nauka, Moscow (1969)

    Google Scholar 

  6. Harband, J.: The existence of monotonic solutions of a nonlinear car-following equation. J. Math. Anal. Appl. 57, 257–272 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kolmanovskii, V., Myshkis, A.: Introduction to the Theory and Applications of Functional Differential Equations. Kluwer Academic Publishers, Netherlands (1999)

    MATH  Google Scholar 

  8. Chukwu, E.N.: Mathematical controllability theory of capital growth of nations. Appl. Math. Comput. 52, 317–344 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  9. Barone, S.R.: A new approach to some nonlinear fluid dynamics problems. Phys. Lett. A 70, 260–262 (1979)

    Article  MathSciNet  Google Scholar 

  10. Chen, W.H., Zheng, W.X.: Delay-dependent robust stabilization for uncertain neutral systems with distributed delays. Automatica 43, 95–104 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. He, Y., Wu, M., She, J.H., Liu, G.P.: Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst. Contr. Lett. 51, 57–65 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Sun, X., Zhao, J., Wang, W.: Two design schemes for robust adaptive control of a class of linear uncertain neutral delay systems. Int. J. Innov. Comput. Inform. Contr. 3, 385–396 (2007)

    Google Scholar 

  13. Yoneyama, J.: Robust stability and stabilizing controller design of fuzzy systems with discrete and distributed delays. Inform. Sci. 178, 1935–1947 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  14. Xu, S., Lam, J., Chen, B.: Robust H1 control for uncertain fuzzy neutral delay systems. Eur. J. Contr. 10, 365–380 (2004)

    Article  MathSciNet  Google Scholar 

  15. Li, Y., Xu, S.: Robust stabilization and H1 control for uncertain fuzzy neutral systems with mixed time delays. Fuzzy Sets Syst. 159, 2730–2748 (2008)

    Article  MATH  Google Scholar 

  16. Yang, J., Zhong, S.M., Xiong, L.L.: A descriptor system approach to non-fragile H1 control for uncertain fuzzy neutral systems. Fuzzy Sets Syst. 160, 423–438 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  17. Yoneyama, J.: Generalized conditions for H1 disturbance attenuation of fuzzy time-delay systems. IEEE Int. Conf. Syst. Man Cybern. 2, 1736–1741 (2005)

    Article  Google Scholar 

  18. Xie, L.: Output feedback H∞ control of systems with parameter uncertainty. Int. J. Contr. 63, 741–750 (1996)

    Article  MATH  Google Scholar 

  19. Cao, Y.Y., Lin, Z.L., Shamash, Y.: Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation. Syst. Cont. Lett. 46, 137–151 (2002)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ding, X., Shu, L., Xiang, C. (2010). Robust Absolute Stability Analysis for Uncertain Fuzzy Neutral Systems. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14880-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14879-8

  • Online ISBN: 978-3-642-14880-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics