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State Estimation of Chaotic Lurie Systems via Communication Channel with Transmission Delay

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Abstract

In this paper, the problem of state estimation for nonlinear Lurie systems is studied subject to only the measurable system outputs. We design the state observer, whose input signals are transmitted via the communication channel for state estimation of Lurie systems. The communication channel with a 2N-level logarithmic quantizer is described, and the transmission delay of communication channel is taken into account. A theoretical analysis of the state estimation is based on the Lyapunov–Krasovakii method, and a sufficient condition of globally asymptotically stable in terms of linear matrix inequality is obtained. The effectiveness of proposed logarithmic quantizer and the practicability of communication channel with transmission delay are validated by an illustrative example.

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Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, China

    Juanhui Zheng & Baotong Cui

  2. School of IoT Engineering, Jiangnan University, Wuxi, 214122, China

    Juanhui Zheng & Baotong Cui

Authors
  1. Juanhui Zheng
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  2. Baotong Cui
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Correspondence to Juanhui Zheng.

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Zheng, J., Cui, B. State Estimation of Chaotic Lurie Systems via Communication Channel with Transmission Delay. Circuits Syst Signal Process 37, 4568–4583 (2018). https://doi.org/10.1007/s00034-018-0779-7

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  • DOI: https://doi.org/10.1007/s00034-018-0779-7

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