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Improved Approach to Robust Control for Type-2 T-S Fuzzy Systems

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  • Bum Yong Park
  • JaeWook Shin

Abstract

This paper is concerned with the robust stability conditions to stabilize the type 2 Takagi-Sugeno (T-S) fuzzy systems. The conditions effectively handle parameter uncertainties using lower and upper membership functions. To improve the solvability of the stability conditions, we establish a multigain controller with comprehensive information of the lower and upper membership grades. In addition, a well-organized relaxation technique is proposed to fully exploit relationship among fuzzy weighting functions and their lower and upper membership grades, which enlarges a set of feasible solutions. Therefore, we derive a less conservative stabilization condition in terms of linear matrix inequalities (LMIs) than those in the literature. Two simulation examples illustrate the effectiveness and robustness of the derived stabilization conditions.

Suggested Citation

  • Bum Yong Park & JaeWook Shin, 2018. "Improved Approach to Robust Control for Type-2 T-S Fuzzy Systems," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:9378230
    DOI: 10.1155/2018/9378230
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