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.
Zhang, X. F. and Ai, J. (2021). Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1. Iranian Journal of Fuzzy Systems, 18(5), 129-140. doi: 10.22111/ijfs.2021.6260
MLA
Zhang, X. F. , and Ai, J. . "Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1", Iranian Journal of Fuzzy Systems, 18, 5, 2021, 129-140. doi: 10.22111/ijfs.2021.6260
HARVARD
Zhang, X. F., Ai, J. (2021). 'Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1', Iranian Journal of Fuzzy Systems, 18(5), pp. 129-140. doi: 10.22111/ijfs.2021.6260
CHICAGO
X. F. Zhang and J. Ai, "Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1," Iranian Journal of Fuzzy Systems, 18 5 (2021): 129-140, doi: 10.22111/ijfs.2021.6260
VANCOUVER
Zhang, X. F., Ai, J. Robust stabilization of uncertain rectangular singular fractional order T-S fuzzy systems with the fractional order 0 < α < 1. Iranian Journal of Fuzzy Systems, 2021; 18(5): 129-140. doi: 10.22111/ijfs.2021.6260
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