Observer-based TS fuzzy control for a class of general nonaffine nonlinear systems using generalized projection-update laws

Wei Yen Wang, Yi Hsing Chien, Tsu Tian Lee

Research output: Contribution to journalArticle

40 Citations (Scopus)


In this paper, we propose an online observer-based TakagiSugeno (TS) fuzzy-output tracking-control technique and an improved generalized projection-update law for a class of general nonaffine nonlinear systems with unknown functions and external disturbances. First, a TS fuzzy model and a mean-value estimation technique are adopted to approximate a so-called virtual linearized system (VLS) of a real system and avoiding a high-order derivative problem, respectively. Second, a novel design concept combining the TS fuzzy controller, observer, and tuning algorithm by neural networks is proposed to improve system performance. After that, we also use improved generalized projection-update laws, which prevent parameters drift and confine adjustable parameters to the specified regions, to tune adjustable parameters. As a result, both the stability guarantee based on strictly positive real (SPR) Lyapunov theory and Barbalats lemma and the better tracking performance are concluded. To illustrate the effectiveness of the proposed TS fuzzy controller and observer-design methodology, numerical simulation results are given in this paper.

Original languageEnglish
Article number5713834
Pages (from-to)493-504
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Issue number3
Publication statusPublished - 2011 Jun 1



  • Nonaffine nonlinear system
  • TakagiSugeno (TS) fuzzy model
  • projection-update law

ASJC Scopus subject areas

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

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