Elsevier

Fuzzy Sets and Systems

Volume 160, Issue 4, 16 February 2009, Pages 403-422
Fuzzy Sets and Systems

Robust H control of Takagi–Sugeno fuzzy systems with state and input time delays

https://doi.org/10.1016/j.fss.2008.03.024Get rights and content

Abstract

This paper addresses the robust H fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi–Sugeno (T–S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov–Krasoviskii functional method, delay-dependent sufficient conditions for the existence of an H controller are proposed in linear matrix inequality (LMI) format. Illustrative examples are given to show the effectiveness and merits of the proposed fuzzy controller design methodology.

References (34)

  • S.S. Zhou et al.

    Robust H control for discrete fuzzy systems via basis-dependent Lyapunov functions

    Inform. Sci.

    (2005)
  • S.G. Cao et al.

    Analysis and design for a class of fuzzy control systems using dynamic fuzzy-state-space models

    IEEE Trans. Fuzzy Systems

    (1999)
  • Y.Y. Cao et al.

    Analysis and synthesis of nonlinear time-delay system via fuzzy control approach

    IEEE Trans. Fuzzy Systems

    (2000)
  • C.L. Chen et al.

    H output feedback control of discrete-time fuzzy systems with application to chaos control

    IEEE Trans. Fuzzy Systems

    (2005)
  • G. Feng

    H controller design of fuzzy dynamic systems based on piecewise Lyapunov functions

    IEEE Trans. Systems Man Cybernet. Part B

    (2004)
  • G. Feng

    H controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and based on bilinear matrix inequalities

    IEEE Trans. Fuzzy Systems

    (2005)
  • X.P. Guan et al.

    Delay-dependent guaranteed cost control for T–S fuzzy systems with time delays

    IEEE Trans. Fuzzy Systems

    (2004)
  • Cited by (0)

    View full text