Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach

Changchun Hua, Qing Guo Wang, Xinping Guan

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)


The robust control problem is investigated for a class of uncertain nonlinear time-delay systems. Via the Takagi-Sugeno (T-S) fuzzification, we obtain the T-S fuzzy systems with each local model in the form of time-delay systems with uncertain nonlinear functions. The mismatched nonlinear functions satisfy the Lipschitz condition, while the matched parts are bounded by nonlinear functions with unknown coefficients. Based on the input matrix, the system is decomposed into two cascade subsystems. The virtual controller is designed for the first subsystem, and then, a memoryless adaptive controller is presented. By employing a new Lyapunov Krasovskii functional, we show that the resulting closed-loop system is exponentially stable and the solutions are uniformly ultimately bounded. Finally, simulation examples are given to show the effectiveness of our main results.

Original languageEnglish
Pages (from-to)901-910
Number of pages10
JournalIEEE Transactions on Fuzzy Systems
Issue number4
Publication statusPublished - 2009
Externally publishedYes


  • Adaptive control
  • Exponentially stable
  • Takagi-Sugeno (T-S) fuzzy approach
  • Time-delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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