Stabilization of T-S fuzzy fractional rectangular descriptor time-delay system

Qian Wu, Qiankun Song, Zhenjiang Zhao, Yurong Liu and Fuad E. Alsaadi

International Journal of Systems Science, 2021, vol. 52, issue 11, 2268-2282

Abstract: This paper focuses on the stabilization of the T-S fuzzy fractional rectangular descriptor time-delay system. To convert the fuzzy rectangular time-delay system into the fuzzy square time-delay system, a suitable dynamic compensator of proportional and derivative type is constructed, and the admissibility of the resultant square closed-loop system is enough to guarantee the stabilization of the nonlinear rectangular descriptor time-delay system. A sufficient condition is derived to ensure the stabilization for the considered system and the dynamic compensator parameters can be computed by solving the corresponding linear matrix inequalities (LMIs). A numerical example is provided to manifest the theoretical result.

Date: 2021
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DOI: 10.1080/00207721.2021.1882613

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