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Finite-time dissipative control of uncertain singular T–S fuzzy time-varying delay systems subject to actuator saturation

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Abstract

This paper investigates the dissipative-based finite-time control for uncertain singular T–S fuzzy time-varying delay system affected by actuator saturation. First, the concept of dissipative stability and finite-time bound is presented. Then an appropriate Lyapunov–Krasovskii functional (LKF) is established and for the sake of reducing the conservatism of the results, some free matrices are introduced. Using the convexity property of the matrix inequality, some conditions are given to ensure the fuzzy system is finite-time bounded and dissipative. Moreover, by solving a series of linear matrix inequalities (LMIs), the controllers with the dissipative disturbance weakened level are derived. Finally, simulation examples are presented to show the feasibility and superiority of this method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China No. 61273004, and the Natural Science Foundation of Hebei province No. F2018203099. The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao Hebei, 066004, People’s Republic of China

    Jun Zhang, Deyou Liu & Yuechao Ma

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  1. Jun Zhang
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  2. Deyou Liu
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  3. Yuechao Ma
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Correspondence to Yuechao Ma.

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Communicated by Leonardo Tomazeli Duarte.

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This work is supported by National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2018203099).

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Zhang, J., Liu, D. & Ma, Y. Finite-time dissipative control of uncertain singular T–S fuzzy time-varying delay systems subject to actuator saturation. Comp. Appl. Math. 39, 201 (2020). https://doi.org/10.1007/s40314-020-01183-x

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  • DOI: https://doi.org/10.1007/s40314-020-01183-x

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