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Observer-Based H ∞ Synchronization and Unknown Input Recovery for a Class of Digital Nonlinear Systems

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Abstract

This paper considers the synchronization and unknown input recovery problem for a class of digital nonlinear systems based on a nonlinear observer approach. A generalized Luenberger-like observer is introduced for a class of discrete-time Lipschitz nonlinear systems. Stability conditions for the existence of asymptotic observers are established in terms of some linear matrix inequalities. It is shown that the proposed conditions are less conservative than some existing ones in the recent literature. Moreover, an observer design method is used to address the problem of H ∞ synchronization and unknown input recovery for a class of Lipschitz nonlinear systems in the presence of disturbances in both the state and output equations. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design.

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Acknowledgements

This work is supported in part by the National Natural Science Foundation of China under Grants 61104140 and 61074009, the Program for New Century Excellent Talents in University from the Chinese Ministry of Education under Grant NCET-12-0215, the Innovation Program of Shanghai Municipal Education Commission under Grant 12YZ156, the Excellent Young Teachers Program of Shanghai Higher Education under Grant shgcjs001, the Fund of SUES under Grant 2012gp45, the Research Fund for the Doctoral Program of Higher Education under Grant 20100142120023, and the Shanghai Municipal Natural Science Foundation under Grant 12ZR1412200.

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Authors and Affiliations

  1. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, 201620, China

    Wei Zhang

  2. School of Automation, Key Laboratory of Image Processing and Intelligent Control of Ministry of Education of China, Huazhong University of Science and Technology, Wuhan, 430074, China

    Housheng Su

  3. College of Electronics and Information Engineering, Tongji University, Shanghai, 200092, China

    Fanglai Zhu

  4. School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Miaomiao Wang

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  1. Wei Zhang
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  2. Housheng Su
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  3. Fanglai Zhu
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  4. Miaomiao Wang
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Correspondence to Housheng Su.

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Zhang, W., Su, H., Zhu, F. et al. Observer-Based H ∞ Synchronization and Unknown Input Recovery for a Class of Digital Nonlinear Systems. Circuits Syst Signal Process 32, 2867–2881 (2013). https://doi.org/10.1007/s00034-013-9617-0

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  • DOI: https://doi.org/10.1007/s00034-013-9617-0

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