Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model

H. K. Lam, Hung Fat Frank Leung, P. K.S. Tam

Research output: Journal article publicationJournal articleAcademic researchpeer-review

68 Citations (Scopus)


This paper presents the stability analysis of a fuzzy-model-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the non-linear gains of the controller. The nonlinear plant is represented by a fuzzy model having p rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition is reduced top linear matrix inequalities. An application example on stabilizing a mass-spring-damper system will be given.
Original languageEnglish
Pages (from-to)657-661
Number of pages5
JournalIEEE Transactions on Fuzzy Systems
Issue number4
Publication statusPublished - 1 Aug 2001


  • Nonlinear controller
  • Nonlinear systems
  • Stability analysis

ASJC Scopus subject areas

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

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