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Resilient observer-based control for networked nonlinear T–S fuzzy systems with hybrid-triggered scheme

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Abstract

In this paper, the resilient observer-based output feedback controller is designed for a class of networked T–S fuzzy systems under a hybrid-triggered scheme and mismatched membership functions. In order to improve network bandwidth utilization, a hybrid-triggered scheme is introduced between the state observer and the controller, which is based on a switching between periodic sampling and an event-triggered scheme. Considering the inaccurate implementation of the parameters of the observer-based controller, a novel hybrid-triggered T–S fuzzy model is constructed. Sufficient conditions are established for the augmented fuzzy systems by using Lyapunov theory and the linear matrix inequality techniques. Furthermore, the observer-based controller gains are designed in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the usefulness of the proposed method.

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Acknowledgements

This work is partly supported by the National Natural Science Foundation of China (Nos. 61403185, 61773218, 61473156), the Natural Science Foundation of Jiangsu Province of China (Nos. BK20171481, BK20161561), Six Talent Peaks Project in Jiangsu Province (No. 2015- DZXX-21), major project supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 15KJA120001), a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) and National Key Technologies Research and Development Program of China under Grant 2015BAD18B02.

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Authors and Affiliations

  1. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing, 210023, Jiangsu, China

    Jinliang Liu & Lijuan Zha

  2. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China

    Xiangpeng Xie

  3. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu, China

    Engang Tian

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  1. Jinliang Liu
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  2. Lijuan Zha
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Correspondence to Jinliang Liu.

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Liu, J., Zha, L., Xie, X. et al. Resilient observer-based control for networked nonlinear T–S fuzzy systems with hybrid-triggered scheme. Nonlinear Dyn 91, 2049–2061 (2018). https://doi.org/10.1007/s11071-017-4002-3

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