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Mixed \(H_{\infty }\) and passivity analysis for T-S fuzzy system with non-fragile memory sampled-data control via augment Lyapunov–Krasovskii functional

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Abstract

The performance of mixed \(H_{\infty }\) and passivity for T-S fuzzy system under the non-fragile memory sampled-data controller is considered in this paper. We construct a non-fragile memory sampled-data controller, which includes a constant signal transmission delay. And by constructing an augment Lyapunov–Krasovskii functional (LKF), taking into account Wirtinger-based integral inequality and the Convex combination technique, we can get a new criteria that mixed \(H_{\infty }\) and passivity for closed-loop system. Numerical examples are used to demonstrate the effectiveness and superiority of the results.

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Acknowledgements

The authors would like to express their gratitude to the editor and the anonymous referees for their valuable suggestions that have greatly improved the quality of the paper.

Funding

This research was supported by National Natural Science Foundation of China (Grant 61273004).

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuanyuan Liu & Yuechao Ma

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  1. Yuanyuan Liu
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  2. Yuechao Ma
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Correspondence to Yuechao Ma.

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Liu, Y., Ma, Y. Mixed \(H_{\infty }\) and passivity analysis for T-S fuzzy system with non-fragile memory sampled-data control via augment Lyapunov–Krasovskii functional. Int. J. Mach. Learn. & Cyber. 12, 2933–2945 (2021). https://doi.org/10.1007/s13042-021-01379-5

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  • DOI: https://doi.org/10.1007/s13042-021-01379-5

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