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Synchronization for Time-Delay Lur’e Systems with Sector and Slope Restricted Nonlinearities Under Communication Constraints

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Abstract

This paper presents a new approach to the output feedback control problem of master-slave synchronization of time-delay chaotic Lur’e systems with sector and slope restricted nonlinearities under communication constraints. The communication constraints involve measurement quantization and signal transmission delay. By constructing an appropriate Lyapunov functional with the idea of a discretized Lyapunov–Krasovskii functional method and utilizing the sector bound of the logarithmic quantizer, a delay-dependent synchronization criterion is derived. The desired synchronization controller can be obtained by solving a set of linear matrix inequalities. Finally, numerical simulations for Chua’s circuit are proposed to show the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Electronics and Information, Nantong University, Nantong, 226007, China

    Xiaomei Zhang

  2. School of Electrical Engineering, Nantong University, Nantong, 226007, China

    Guoping Lu

  3. Department of Electrical and Electronic Engineering, The University of Melbourne, Melbourne, Victoria, 3010, Australia

    Yufan Zheng

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  1. Xiaomei Zhang
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  2. Guoping Lu
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  3. Yufan Zheng
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Correspondence to Xiaomei Zhang.

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Zhang, X., Lu, G. & Zheng, Y. Synchronization for Time-Delay Lur’e Systems with Sector and Slope Restricted Nonlinearities Under Communication Constraints. Circuits Syst Signal Process 30, 1573–1593 (2011). https://doi.org/10.1007/s00034-011-9311-z

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  • DOI: https://doi.org/10.1007/s00034-011-9311-z

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