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

	Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1
Iranian Journal of Fuzzy Systems
دوره 18، شماره 5، آذر و دی 2021، صفحه 129-140 اصل مقاله (298.65 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6260
نویسندگان
X. F. Zhang^* ؛ J. Ai
College of Sciences, Northeastern University, Shenyang, 110819, China
چکیده
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.
کلیدواژه‌ها
Fractional order systems؛ rectangular singular systems؛ T-S fuzzy systems؛ dynamic compensator؛ linear matrix inequalities

آمار تعداد مشاهده مقاله: 330 تعداد دریافت فایل اصل مقاله: 324

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