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Dual-Thresholds Event-Triggered Based H Control for Nonlinear Networked Control Systems with Imperfect Communication Channels

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Abstract

This paper focuses on the dual-thresholds event-triggered (ET) based \(H_{\infty }\) control problem for nonlinear networked control systems (NCSs) with imperfect communication channels under interval type-2 fuzzy modeling technique. During the procedure of devising fuzzy state-feedback controller, two imperfect communication channels of the NCSs are taken into account, and the corresponding mathematical models are built by using two independent Bernoulli random distribution procedures. To deal with the negative effects of time-varying packet loss issue caused by imperfect communication channels and the limited network bandwidth, an innovative dual-thresholds ET scheme is firstly proposed for the nonlinear NCSs. Different from the existing ET mechanisms equipped a fixed threshold and adaptive ET schemes, the proposed dual-thresholds ET scheme considers the state error information and the time-varying data loss information, which can both abate the utilization of limited communication resources and solve the negative impact of packet dropouts. Then, according to the Lyapunov stability theory, the sufficient criteria are established to devise the desired state-feedback controller subjected to mismatched membership functions. Finally, the advantage of the presented strategy can be testified via some simulation results.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (61973105), the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (CXTD2016054).

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Correspondence to Wei Qian.

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Wu, Y., Qian, W. & Yang, Y. Dual-Thresholds Event-Triggered Based H Control for Nonlinear Networked Control Systems with Imperfect Communication Channels. Int. J. Fuzzy Syst. 25, 1869–1881 (2023). https://doi.org/10.1007/s40815-023-01478-1

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