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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 | ||
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آمار تعداد مشاهده مقاله: 525 تعداد دریافت فایل اصل مقاله: 434 |
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