Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach

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

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (Linear Matrix Inequality) problem. The linear controller can be designed by solving the LMIs. To illustrate the merits and the design procedure of the proposed linear controller, an application example on stabilizing an inverted pendulum on a cart with unknown parameters is given.
Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
Number of pages4
Publication statusPublished - 1 Dec 2001
Event10th IEEE International Conference on Fuzzy Systems - Melbourne, Australia
Duration: 2 Dec 20015 Dec 2001


Conference10th IEEE International Conference on Fuzzy Systems

ASJC Scopus subject areas

  • Software
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

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