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Networked Control for Singular Systems Over Unreliable Channel with Limited Capacity

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Abstract

This paper addresses networked control problem for discrete-time linear singular systems over unreliable channel. It is assumed that the controller can only receive the transmitted sequence of finite coded signals via unreliable channels, which may be lost due to the limited communication capacity and transmission errors. By introducing compensation terms at every update instant and auxiliary systems in each sampling interval, both state- and output-based coder–decoder–controller procedures are proposed. Then, a uniform sufficient feedback stabilization condition involving the size of coding alphabet, the sampling period and data packet dropout rate is obtained. Finally, an example is given to illustrate the design procedures and effectiveness of the proposed results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61374061, 61174065, 61174066 and 61305031. This work was also supported by the Natural Science Foundation (BK2012227) from Jiangsu Province and “Chuang Xin Ren Cai” Foundation from Nantong University.

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Authors and Affiliations

  1. School of Electronics and Information, Nantong University, Nantong , 226019, Jiangsu, China

    Lei Zhou & Xiaoqing Xiao

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  1. Lei Zhou
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  2. Xiaoqing Xiao
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Correspondence to Xiaoqing Xiao.

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Zhou, L., Xiao, X. Networked Control for Singular Systems Over Unreliable Channel with Limited Capacity. Circuits Syst Signal Process 33, 3443–3455 (2014). https://doi.org/10.1007/s00034-014-9822-5

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  • DOI: https://doi.org/10.1007/s00034-014-9822-5

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