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Fuzzy Static Output Feedback H∞ Control for Nonlinear Systems Subject to Parameter Uncertainties

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Abstract

This study is concerned with the stabilization issue of nonlinear systems subject to parameter uncertainties. An interval type-2 T-S fuzzy model is used to represent the nonlinear systems subject to parameter uncertainties. An interval type-2 fuzzy static output feedback controller is designed to synthesize the interval type-2 T-S fuzzy systems. The membership-function-dependent stability conditions are derived by utilizing the information of upper and lower membership functions. The proposed stability conditions are presented in the form of linear matrix inequalities (LMIs). LMI-based stability conditions for interval type-2 fuzzy static output feedback H∞ control synthesis are also developed. Several simulation examples are given to show the superiority of the proposed approach.

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Acknowledgements

This work was mainly done while the first author was at Southwest Jiaotong University.

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Authors and Affiliations

  1. School of Electrical Engineering and Information, Sichuan University, Chengdu, 610065, China

    Tao Zhao & Songyi Dian

Authors
  1. Tao Zhao
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  2. Songyi Dian
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Corresponding author

Correspondence to Songyi Dian.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61134001, 51477146, and the Applied Basic Research Program of Science and Technology Department of Sichuan Province, China under Grant No. 2016JY0085.

This paper was recommended for publication by Editor FENG Gang.

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Zhao, T., Dian, S. Fuzzy Static Output Feedback H∞ Control for Nonlinear Systems Subject to Parameter Uncertainties. J Syst Sci Complex 31, 343–371 (2018). https://doi.org/10.1007/s11424-017-6137-1

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  • DOI: https://doi.org/10.1007/s11424-017-6137-1

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