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Event-Triggered \(H_{\infty }\) Filtering for A Class of Nonlinear Systems Under DoS Attacks

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Abstract

This paper investigates event-triggered \(H_{\infty }\) filtering for a class of discrete-time nonlinear systems subject to denial-of-service (DoS) attacks. Since the communication network in the networked systems is vulnerable to malicious cyber-attacks, this paper models DoS attacks as a Bernoulli random variable, which results in stochastic filtering error system. Besides, we use adaptive event-triggered communication to ensure that the least amount of information is transmitted over the network. For the filtering error system under the effect of event-triggered communication and DoS attacks, we provide sufficient conditions on guaranteeing the stability and prescribed \(H_{\infty }\) performance, where the \(H_{\infty }\) filter and event-triggered parameters are co-designed using the linear matrix inequality approach. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed method.

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Data Availability

The datasets used in this study are publicly available. The sources are mentioned in the reference section.

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Acknowledgements

This work is partially supported by the Hong Kong Research Grant Council under Grant 16203322 and Grant N_HKUST628/22, the National Science Foundation of China under Grant 62261160385, and the Fundamental Research Funds for the Central Universities, China under Grant 22120240010 and Grant 2023SMECP04.

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Ma, W., Zhou, Y., Lai, X. et al. Event-Triggered \(H_{\infty }\) Filtering for A Class of Nonlinear Systems Under DoS Attacks. Circuits Syst Signal Process 44, 24–43 (2025). https://doi.org/10.1007/s00034-024-02775-2

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