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Adaptive Event-Triggered \(H_{\infty }\) Control for Markov Jump Systems with Generally Uncertain Transition Rates

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Abstract

This paper considers the adaptive event-triggered \(H_{\infty }\) control issue for Markov jump systems with generally uncertain transition rates and actuator faults. Compared with the conventional method, an adaptive event-triggered mechanism with a varying threshold is adopted to save the communication resources effectively. The general model of transition rates in Markov jump process includes completely unknown and uncertain bounded as two special models. Based on linear matrix inequalities, the sufficient conditions of the controller design can be obtained to guarantee the closed-loop systems are stochastically stable. Finally, simulation examples are exploited to verify the effectiveness of the proposed control strategy.

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Acknowledgements

The authors would like to express our gratitude to the anonymous reviewers for their thoughtful comments and suggestions. This work was partially supported by the National Natural Science Foundation of China (61973091), the Guangdong Natural Science Funds for Distinguished Young Scholar (2017A030306014), the Local Innovative and Research Teams Project of Guangdong Special Support Program of 2019, the Innovative Research Team Program of Guangdong Province Science Foundation (2018B030312006), and the Science and Technology Program of Guangzhou (201904020006).

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  1. School of Automation and the Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, 510006, China

    Lin Chen, Xiaomeng Li, Wenshuai Lin & Qi Zhou

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  1. Lin Chen
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  2. Xiaomeng Li
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Correspondence to Qi Zhou.

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Chen, L., Li, X., Lin, W. et al. Adaptive Event-Triggered \(H_{\infty }\) Control for Markov Jump Systems with Generally Uncertain Transition Rates. Circuits Syst Signal Process 39, 5429–5453 (2020). https://doi.org/10.1007/s00034-020-01435-5

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