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Stability Analysis of Polynomial Fuzzy Model-Based Control Systems with Mismatched Premise Membership Functions Through Symbolic Variables

  • Hak-Keung LamEmail author
Chapter
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Part of the Studies in Systems, Decision and Control book series (SSDC, volume 64)

Abstract

This chapter investigates the stability of polynomial fuzzy model-based control systems by treating the membership functions and system states as symbolic variables. The information of membership functions is considered in the stability analysis and brought to the SOS-based stability conditions. Techniques are proposed to introduce slack matrix variables carrying the information of membership functions, including the property of membership functions, boundary information of membership functions and boundary information of premise variables, to the SOS-based stability conditions without increasing much the computational demand. Details of mathematical derivation are shown to help readers follow easily the analysis. A simulation example is given to show how to apply the obtained stability conditions during the control design and demonstrate the merits of the proposed stability analysis results.

Keywords

Polynomial Fuzzy Model Premise Membership Functions Variable Symbols Stability Analysis Results Premise Variables 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of InformaticsKing’s College LondonLondonUK

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