Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-10-01 DOI:10.22111/IJFS.2021.6260

X. F. Zhang, J. Ai

引用次数: 0

Abstract

This paper presents a novel method to investigate the robust stabilization problem of uncertain rectangular singular fractional order Takagi-Sugeno (T-S) fuzzy systems with the fractional order 0 < α < 1. Firstly, the uncertain rectangular singular fractional order T-S fuzzy system is transformed into an augmented uncertain square singular fractional order T-S fuzzy system by designing a new T-S fuzzy dynamic compensator. Secondly, a sufficient condition in the form of linear matrix inequalities (LMI) is obtained for the robust stabilization of the uncertain rectangular singular fractional order T-S fuzzy system. Finally, a numerical example is given to verify the effectiveness of the results proposed.

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分数阶0 < α < 1的不确定矩形奇异分数阶T-S模糊系统的鲁棒镇定

提出了一种新的方法来研究分数阶为0 < α < 1的不确定矩形奇异分数阶Takagi-Sugeno (T-S)模糊系统的鲁棒镇定问题。首先，通过设计一种新的T-S模糊动态补偿器，将不确定矩形奇异分数阶T-S模糊系统转化为增广不确定正方形奇异分数阶T-S模糊系统;其次，以线性矩阵不等式(LMI)的形式给出了不确定矩形奇异分数阶T-S模糊系统鲁棒镇定的充分条件。最后通过数值算例验证了所提结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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