Robust H∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties

  • Authors:

  • Shih-Wei Kau;Hung-Jen Lee;Ching-Mao Yang;Ching-Hsiang Lee;Lin Hong;Chun-Hsiung Fang

  • Affiliations:

  • Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan;Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan;Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan;Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan;Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan;Department of Electrical and Electronics Engineering, National Kaohsiung University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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Abstract

This paper addresses robust H"~ fuzzy static output feedback control problem for T-S fuzzy systems with time-varying norm-bounded uncertainties. Sufficient conditions for synthesis of a fuzzy static output feedback controller for T-S fuzzy systems are derived in terms of a set of linear matrix inequalities (LMIs). In comparison with the existing literatures, the proposed approach not only simplifies the design procedure but also achieves a better H"~ performance. Three drawbacks existing in the previous papers such as coordinate transformation, same output matrices and BMI problem have been eliminated. The effectiveness of the proposed design method is demonstrated by an example for the control of a truck-trailer system.