Mixed H$_2$/H$_&infty;$ region-based fuzzy controller design for continuous-time fuzzy systems

  • Authors:

  • Sheng-Ming Wu;Chein-Chung Sun;Hung-Yuan Chung;Wen-Jer Chang

  • Affiliations:

  • Department of Electrical Engineering, National Central University, Chung-li 320, Taiwan. Tel.: +886 3 4227151 Ext. 34475/ E-mail: hychung@ee.ncu.edu.tw;Department of Electrical Engineering, National Central University, Chung-li 320, Taiwan. Tel.: +886 3 4227151 Ext. 34475/ E-mail: hychung@ee.ncu.edu.tw;Department of Electrical Engineering, National Central University, Chung-li 320, Taiwan. Tel.: +886 3 4227151 Ext. 34475/ E-mail: hychung@ee.ncu.edu.tw;(Correspd.) Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan. Tel.: +886 2 24622192 Ext. 7110/ E-mail: wjchang@mail.ntou.edu.tw

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
  • Year:
  • 2007

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Abstract

In this paper, Takagi-Sugeno (T-S) fuzzy control problem withminimizing H2/H∞ norm is studied. A newapproach in designing fuzzy controller is called T-S region-basedfuzzy controller (TSRFC), which is derived from the fuzzy regionconcept and the robust control technique. The fuzzy region conceptis used to divide the general plant rules into several fuzzyregions and the robust control technique is used to stabilize allplant rules of each fuzzy region. A theorem in synthesizing TSRFCis derived from Lyapunov stability criterion, which is expressed interms of LMIs. This proposed idea is greatly reduced the totalnumber of LMIs and controller rules. For this reason, TSRFC is easyto implement with simple hardware. TSRFC is able to provide goodperformances as well as PDC-based designs even though thecontroller rules are reduced.