Stability analysis of fuzzy-model-based control systems: Linear-matrix-inequality approach

Hak Keung Lam, Hung Fat Frank Leung

Research output: Authored / edited bookResearch book or monograph (as author)Academic researchpeer-review

Abstract

Inspired by the fuzzy set theory established by Zadeh in 1965, Mamdani proposed fuzzy controllers to tackle nonlinear systems [86, 87]. Since then, fuzzy control has become a promising research platform. Despite the lack of a concrete theoretical basis, many successful applications of fuzzy control were reported in various areas such as sludge wastewater treatment [115], control of cement kiln [39], etc. These successes show that fuzzy controllers are capable of handling ill-defined plants with significant parameter uncertainties. As pointed out by Mamdani, stability of fuzzy systems is an important issue, and the remarked disadvantage of fuzzy control is the lack of appropriate tools for the analysis of controller performance [47]. In the absence of an in-depth analysis, fuzzy control systems may come with no guarantees of stability, good robustness and satisfactory performance; even some guidelines or rules-of- thumb for designing fuzzy controllers may not be available. In view of these limitations, a lot of research work had been done during the past two decades.
Original languageEnglish
PublisherSpringer Berlin Heidelberg
Number of pages241
Volume264
ISBN (Electronic)978-3-642-17844-3
ISBN (Print)978-3-642-17843-6
DOIs
Publication statusPublished - 2011

Publication series

NameStudies in Fuzziness and Soft Computing

Keywords

  • Membership Function
  • Lyapunov Function
  • Fuzzy Control
  • Fuzzy Controller
  • Quadratic Lyapunov Function

Cite this