Stability conditions of fuzzy systems and its application to structural and mechanical systems

  • Authors:
  • Cheng-Wu Chen

  • Affiliations:
  • Department of Logistics Management, Shu-Te University, Yen Chau Kaohsiung County, Taiwan, ROC

  • Venue:
  • Advances in Engineering Software
  • Year:
  • 2006

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Abstract

This paper provided the stability conditions and controller design for a class of structural and mechanical systems represented by Takagi-Sugeno (T-S) fuzzy models. In the design procedure of controller, parallel-distributed compensation (PDC) scheme was utilized to construct a global fuzzy logic controller by blending all local state feedback controllers. A stability analysis was carried out not only for the fuzzy model but also for a real mechanical system. Furthermore, this control problem can be reduced to linear matrix inequalities (LMI) problems by the Schur complements and efficient interior-point algorithms are now available in Matlab toolbox to solve this problem. A simulation example was given to show the feasibility of the proposed fuzzy controller design method.