Stabilization analysis for fuzzy systems with a switched sampled-data control

This study focuses on the stabilization analysis for fuzzy systems with the switched sampled-data control. By utilizing the information of the membership functions, an improved time-dependent and fuzzy-membership-function-dependent Lyapunov–Krasovskii functional (LKF) is constructed to commendably c...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2020-01, Vol.357 (1), p.39-58
Main Authors: Luo, Jinnan, Li, Mengling, Liu, Xinzhi, Tian, Wenhong, Zhong, Shouming, Shi, Kaibo
Format: Article
Language:English
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Summary:This study focuses on the stabilization analysis for fuzzy systems with the switched sampled-data control. By utilizing the information of the membership functions, an improved time-dependent and fuzzy-membership-function-dependent Lyapunov–Krasovskii functional (LKF) is constructed to commendably capture the available information related to the real sampling pattern. Together with a switching idea and newly inequalities, further results with less conservativeness are established to ensure that the switched sampled-data control stabilizes the fuzzy systems. Moreover, the switched sampled-data controllers are devised with a larger sampling interval. Finally, the effectiveness of the presented criteria is verified by two examples.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2019.09.029