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Fuzzy Robust H ∞ Sampled-Data Control for Uncertain Nonlinear Systems with Time-Varying Delay

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Abstract

This paper investigates a robust H ∞ sampled-data control problem for uncertain nonlinear systems with time-varying delay described by Takagi–Sugeno fuzzy model. By introducing the free-weighting matrices, new stability criteria are obtained in terms of linear matrix inequalities based on Lyapunov–Krasovskii functional theory. Then, a fuzzy sampled-data H ∞ controller is designed to achieve a prescribed disturbance attenuation level in the sense that the fuzzy closed-loop system is robustly asymptotically stable. Compared with the existing results, the obtained ones are less conservative without using the conservative crossing inequality and the Jensen integral inequality. Two illustrative examples are provided to show the effectiveness and the merits of the proposed method.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61203320, 61572419).

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Authors and Affiliations

  1. School of Computer and Control Engineering, Yantai University, Yantai, 264005, Shandong, China

    Zhenbin Du, Zhenkun Qin, Hongjin Ren & Zhuye Lu

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  1. Zhenbin Du
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Correspondence to Zhenbin Du.

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Du, Z., Qin, Z., Ren, H. et al. Fuzzy Robust H ∞ Sampled-Data Control for Uncertain Nonlinear Systems with Time-Varying Delay. Int. J. Fuzzy Syst. 19, 1417–1429 (2017). https://doi.org/10.1007/s40815-016-0249-y

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