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Membership-Function-Dependent Stabilization Conditions for Interval Type-2 Fuzzy Time-Delay Systems via Static Output Feedback Scheme

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Abstract

This paper presents stabilization conditions of interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy time-delay systems. A static output feedback controller with imperfect premise matching is proposed to perform the control process. A Lyapunov function with triple-integral term is constructed to derive less conservative stabilization conditions for IT2 T–S fuzzy time-delay systems. Based on Lyapunov stability theory, a series of linear matrix inequalities are obtained to ensure the asymptotic stability of the closed-loop systems. Using membership-function-dependent information and Wirtinger-based integral inequalities, less conservative stabilization conditions are developed. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (61703291) and Applied Basic Research Program of Science and Technology Department of Sichuan Province, China (2016JY0085).

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Authors and Affiliations

  1. School of Electrical Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Chang Che & Jian Xiao

  2. School of Mechanical Engineering, Xihua University, Chengdu, 610039, China

    Chang Che & Jiayao Peng

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

    Tao Zhao

  4. School of Computer and Software Engineering, Xihua University, Chengdu, 610039, China

    Jie Zhou

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  1. Chang Che
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  2. Jiayao Peng
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  3. Jian Xiao
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  4. Tao Zhao
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Correspondence to Jie Zhou.

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Che, C., Peng, J., Xiao, J. et al. Membership-Function-Dependent Stabilization Conditions for Interval Type-2 Fuzzy Time-Delay Systems via Static Output Feedback Scheme. Int. J. Fuzzy Syst. 20, 1439–1450 (2018). https://doi.org/10.1007/s40815-018-0473-8

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  • DOI: https://doi.org/10.1007/s40815-018-0473-8

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