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

Bum Yong Park and JaeWook Shin

Mathematical Problems in Engineering, 2018, vol. 2018, 1-9

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9378230

DOI: 10.1155/2018/9378230

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