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\(H_{\infty }\) controller synthesis for interval type-2 fuzzy network systems with hybrid attacks and disturbances via dual-channel dynamic event-triggered mechanisms

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Abstract

This study focuses on addressing the issue of dynamic event-triggered \(H_{\infty }\) control in the presence of disturbances and hybrid network attacks for interval type-2 fuzzy systems. A hybrid attack model is established using the Bernoulli distribution, incorporating random deception attacks and denial-of-service attacks. To save system resources, a dual-channel event-triggered mechanism is proposed, which differs from traditional single-channel event-triggered control. Different from the existing dynamic event-triggered mechanism with constant error coefficients, the sensor-side and controller-side event-triggered mechanisms combine system-dependent dynamic parameters, resulting in improved dynamic event-triggered mechanisms. These mechanisms realize resource saving and guarantee system performance. Zeno behavior is excluded. Additionally, this paper addresses the issue of membership function mismatch between the system and the controller due to hybrid attacks and event-triggered transmission, which is commonly encountered. Introducing slack matrices establishes a connection between mismatched membership functions, thereby mitigating design conservatism. By employing a Lyapunov-Krasovskii functional, sufficient conditions for guaranteeing the \(H_{\infty }\) performance of the system are derived. The efficacy of the proposed strategy is demonstrated through practical examples.

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Data availability

The data sets generated and/or analyzed during the current study are available from the corresponding author on a reasonable request.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62273079 and Grant 61420106016; in part by the Fundamental Research Funds for the Central Universities, China, under Grant N2004002, Grant N2104005, and Grant N182608004; in part by the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries, China, under Grant 2013ZCX01; and in part by the 1912 Project.

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  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Qinghua Hou & Jiuxiang Dong

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  1. Qinghua Hou
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Hou, Q., Dong, J. \(H_{\infty }\) controller synthesis for interval type-2 fuzzy network systems with hybrid attacks and disturbances via dual-channel dynamic event-triggered mechanisms. Nonlinear Dyn 111, 21079–21097 (2023). https://doi.org/10.1007/s11071-023-08950-5

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