Dissipative control to fuzzy systems with nonlinearities at the input An SOS approach

Ji Chang Lo, Jia Ren Wan, Wei Cheng Liao

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The goal of this paper is, via dissipative control, to solve a stabilization problem for fuzzy systems with sector-bounded nonlinearities at their input. We first reformulate the problems in a new, related stabilization problem such that the closed-loop fuzzy system is dis-sipative with respect to a specifically chosen quadratic supply rate. Then, based on Lyapunov method, we derive the stabilization conditions for a state feedback stabilizing controller, leading to an LMI representation that can be numerically solved by existing SOS (Sum of Squares) solvers. Finally the validity of the proposed method is illuminated by examples.

Original languageEnglish
Title of host publicationASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Pages1498-1503
Number of pages6
StatePublished - 2011
Event8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan
Duration: 15 May 201118 May 2011

Publication series

NameASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Conference

Conference8th Asian Control Conference, ASCC 2011
Country/TerritoryTaiwan
CityKaohsiung
Period15/05/1118/05/11

Keywords

  • Dissipative control
  • Linear matrix inequality (LMI)
  • Sector-bounded non-linearity
  • Takagi-Sugeno fuzzy models

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