Fast fixed-time synchronization of T–S fuzzy complex networks

Liu, Shuai; Zhao, Lingli; Zhang, Wanli; Yang, Xinsong; Alsaadi, Fuad E.

doi:10.15388/namc.2021.26.23060

Cited by 6 publications

(1 citation statement)

References 39 publications

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“…Thus, T-S fuzzy systems (TSFSs) can be addressed by typical methodologies based upon linear system methods [10]. TSFS based methods play a significant role in stability and performance analysis, controller design, and observer design for nonlinear systems, see [38,21,37,36,25] and the references cited therein for example. Recently, T-S fuzzy modeling methods and fuzzy model based control techniques have been extended to nonlinear 2-D systems in [22,26].…”

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confidence: 99%

$ H_{\infty} $ control for continuous-discrete systems in T-S fuzzy model with finite frequency specifications

Duan

Liang

Xiang

2022

DCDS-S

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<p style='text-indent:20px;'>In this paper, the <inline-formula><tex-math id="M2">\begin{document}$ H_{\infty} $\end{document}</tex-math></inline-formula> control problem is concerned for a class of continuous-discrete T-S fuzzy systems (TSFSs) described by the Roesser model with a finite frequency (FF) specification. Assume that the frequencies of the disturbance input are known in advance and dominated within a FF range. An <inline-formula><tex-math id="M3">\begin{document}$ H_{\infty} $\end{document}</tex-math></inline-formula> performance is established within a FF range for continuous-discrete TSFSs, which is an extension of the standard <inline-formula><tex-math id="M4">\begin{document}$ H_{\infty} $\end{document}</tex-math></inline-formula> performance. This paper aims to construct a state feedback controller which guarantees the closed-loop system to be stable and to have a prescribed FF <inline-formula><tex-math id="M5">\begin{document}$ H_{\infty} $\end{document}</tex-math></inline-formula> performance. A numerical tractable method for designing a controller is obtained through matrixing, thus giving conveniently the expression of controller with linear matrix inequality as tool kit.</p>

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