Nonlinear Dynamics

, Volume 76, Issue 1, pp 23–31 | Cite as

A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods

  • Cheng-Wu Chen
Original Paper


A control system with state feedback controllers, in which the fuzzy Lyapunov approach is developed for the stability criterion, is studied. The proposed intelligent design provides a systematic and effective framework for the control systems. The global nonlinear controller is constructed based on T–S (Takagi–Sugeno) fuzzy controller design techniques, blending all such local state feedback controllers. Based on this design, the stability conditions of a multiple time-delay system are derived in terms of the fuzzy Lyapunov theory. The effectiveness and the feasibility of the proposed controller design method are demonstrated through numerical simulations.


Lyapunov function Takagi–Sugeno form Nonlinear systems LMI 



The author would like to thank the National Science Council of the Republic of China, Taiwan, for their financial support, NSC 100-2221-E-022-013-MY2, NSC 100-2628-E-022-002-MY2.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Maritime Information and TechnologyNational Kaohsiung Marine UniversityKaohsiungTaiwan, ROC
  2. 2.Global Earth Observation and Data Analysis CenterNational Cheng Kung UniversityTainanTaiwan, ROC

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