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Hybrid-triggered state feedback H∞ control for networked control systems with stochastic nonlinearity and quantization

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Abstract

This paper is concerned with the state feedback H∞ control problem for hybrid-triggered networked control systems (NCSs) with stochastic nonlinearity and state quantization. In order to establish a higher utilization of the network resources, a hybrid-triggered transmission scheme (HTTS) and measurement size reduction scheme are introduced. Firstly, the HTTS is presented such that the signal can be transmitted according to the law. Then the measurement size reduction scheme, i.e., the logarithmic quantization is applied. Then, considering the effect of HTTS and quantization, the original NCSs model is reformulated as a new hybrid-triggered NCSs with communication delay. By using Lyapunov functional method and linear matrix inequality technique, sufficient conditions for stochastical stability with a prescribed H∞ performance level are established, and the design of controller and trigger parameters can be obtained. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.

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Acknowledgements

This work is partly supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 15KJB120002) and Fund of Nanjing University of Finance and Economics (No. KYC201602), the National Natural Science Foundation of China (No. 71571092), the Natural Science Foundation of Jiangsu Province of China (No. BK20171481).

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Authors and Affiliations

  1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, 210023, People’s Republic of China

    Yushun Tan & Menghui Xiong

  2. School of Automation, Southeast University, Nanjing, Jiangsu, 210096, People’s Republic of China

    Yushun Tan & Shumin Fei

  3. Faculty of Automation, Huaiyin Institute of Technology, Huaian, 223003, Jiangsu, People’s Republic of China

    Dongsheng Du

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  1. Yushun Tan
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  2. Menghui Xiong
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Correspondence to Yushun Tan.

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This article is part of the Topical Collection: Special Issue on Network Coverage

Guest Editors: Shibo He, Dong-Hoon Shin, and Yuanchao Shu

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Tan, Y., Xiong, M., Du, D. et al. Hybrid-triggered state feedback H∞ control for networked control systems with stochastic nonlinearity and quantization. Peer-to-Peer Netw. Appl. 12, 660–676 (2019). https://doi.org/10.1007/s12083-018-0671-z

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