A min-max control synthesis for uncertain nonlinear systems based on fuzzy T-S model

Tatjana Kolemishevska-Gugulovska, Mile Stankovski, Imre J. Rudas, Nan Jiang, Juanwei Jing

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The min-max robust control synthesis for uncertain nonlinear systems is solved using Takagi-Sugeno fuzzy model and fuzzy state observer. Existence conditions are derived for the output feedback min-max control in the sense of Lyapunov asymptotic stability and formulated in terms of linear matrix inequalities. The convex optimization algorithm is used to obtain the minimum upper bound on performance and the optimum parameters of mini-max controller. The close-loop system is asymptotically stable under the worst case disturbances and uncertainty. Benchmark of inverted pendulum plant is used to demonstrate the robust performance within a much larger equilibrium region of attraction achieved by the proposed design.

Original languageEnglish
Title of host publicationIS'2012 - 2012 6th IEEE International Conference Intelligent Systems, Proceedings
Pages303-310
Number of pages8
DOIs
Publication statusPublished - Nov 28 2012
Event2012 6th IEEE International Conference Intelligent Systems, IS 2012 - Sofia, Bulgaria
Duration: Sep 6 2012Sep 8 2012

Publication series

NameIS'2012 - 2012 6th IEEE International Conference Intelligent Systems, Proceedings

Other

Other2012 6th IEEE International Conference Intelligent Systems, IS 2012
CountryBulgaria
CitySofia
Period9/6/129/8/12

Keywords

  • Fuzzy T-S models
  • fuzzy observer
  • nonlinear systems
  • optimum intelligent control
  • robust control
  • uncertainty

ASJC Scopus subject areas

  • Artificial Intelligence

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    Kolemishevska-Gugulovska, T., Stankovski, M., Rudas, I. J., Jiang, N., & Jing, J. (2012). A min-max control synthesis for uncertain nonlinear systems based on fuzzy T-S model. In IS'2012 - 2012 6th IEEE International Conference Intelligent Systems, Proceedings (pp. 303-310). [6335234] (IS'2012 - 2012 6th IEEE International Conference Intelligent Systems, Proceedings). https://doi.org/10.1109/IS.2012.6335234