Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays

Mourad Kchaou and Ahmed El-Hajjaji

International Journal of Systems Science, 2017, vol. 48, issue 2, 288-301

Abstract: The resilient sliding mode control (SMC) problem for a class of discrete-time descriptor Takagi–Sugeno (T-S) fuzzy systems with multiple state delays is addressed. Attention is focused on the design of a discrete-time SMC such that the admissibility as well as the H∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays and external disturbances. Based on a new sliding function, a delay-dependent sufficient condition is established to ensure the desired performance of the sliding mode dynamics on the specified sliding mode surface. Moreover, a resilient SMC law is established to satisfy the reaching condition. Finally, two examples are given to show the effectiveness and advantages of the proposed design SMC scheme.

Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/00207721.2016.1179818

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