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  • 标题:LMI Approach to Output Feedback Stabilization for Fuzzy Systems with Immeasurable Premise Variables
  • 本地全文:下载
  • 作者:Jun YONEYAMA
  • 期刊名称:知能と情報
  • 印刷版ISSN:1347-7986
  • 电子版ISSN:1881-7203
  • 出版年度:2010
  • 卷号:22
  • 期号:3
  • 页码:390-395
  • DOI:10.3156/jsoft.22.390
  • 出版社:Japan Society for Fuzzy Theory and Intelligent Informatics
  • 摘要:

    This paper is concerned with output feedback control design for a fuzzy system with immeasurable premise variables. It is well known that Takagi-Sugeno fuzzy model describes a wide class of nonlinear systems especially when its premise variables include immeasurable functions. However, when it comes to control design of such a fuzzy system with immeasurable premise variables, a conventional parallel distributed compensator (PDC) is not feasible because it shares the same premise variables as those of a fuzzy system. In this paper, we introduce an output feedback controller with the estimate of the premise variables of an original fuzzy system. We then formulate the stabilization problem for a fuzzy system with immeasurable premise variables. Our control design method is based on a set of strict LMI conditions. No tuning parameter is necessary a priori to solve LMI conditions. Our method includes tuning matrices for control gains in a controller and hence they can be chosen to optimize the control performance of the system. Numerical examples are finally given to illustrate our control design method.

  • 关键词:Takagi-Sugeno fuzzy systems; Output feedback control; Premise variables
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