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Observer-based \(H_\infty \) control for switched cyber-physical systems over amplify-and-forward relay networks subject to double fading channels

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Abstract

In this paper, an observer-based \(H_\infty \) control problem is studied for a class of switched cyber-physical systems over amplify-and-forward relay networks with double fading channels. An AF relay is deployed between sensor and controller with hope to enhance the communication range. In this relay-based network, the relay first receives the data from the sensor and then transfers it to the controller. Further, double fading channels are considered in both the sensor to relay channel and the relay to controller channel, whose coefficients are described by two series of random variables. The application of Lyapunov stability combing with average dwell time technique first leads to the derivation of a sufficient condition for guaranteeing the stability and \(H_\infty \) performance of the controlled system. Subsequently, the desired gains of the observer-based controller are parameterized by solving a set of matrix inequalities. Finally, two examples are offered to showcase the applicability of the presented control strategy.

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Funding

This work was supported in part by the Zhejiang Provincial Natural Science Foundation of China under Grant LY24F030006, in part by the National Natural Science Foundation of China under Grants 62003121, 62103004 and 62273005.

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Authors and Affiliations

  1. School of Information Science and Technology, Hangzhou Normal University, Hangzhou, 311121, China

    Qi Li

  2. Artificial Intelligence Energy Research Institute, Northeast Petroleum University, Daqing, 163318, China

    Qi Li

  3. School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu, 241000, China

    Hailong Tan & Hongjian Liu

  4. Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu, 241000, China

    Hongjian Liu

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  1. Qi Li
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Correspondence to Qi Li.

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Li, Q., Tan, H. & Liu, H. Observer-based \(H_\infty \) control for switched cyber-physical systems over amplify-and-forward relay networks subject to double fading channels. Nonlinear Dyn 113, 13243–13259 (2025). https://doi.org/10.1007/s11071-024-10688-7

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