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Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances

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Abstract

This paper investigates the finite-time and fixed-time stabilization (FFTS) of switched systems with discontinuous dynamics, external disturbances and delays. Firstly, a new parameterized discontinuous stabilizer is designed to ensure the FFTS of switched discontinuous systems in the sense of Filippov solutions. Secondly, a detailed analysis is provided on how to regulate the power parameters to determine the settling time is finite or fixed. Thirdly, a new adaptive controller is further designed to stabilize the considered system in a finite time, and the corresponding settling time is estimated as well. Finally, two examples are given to demonstrate the efficiency of the proposed method.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61773185, 61573096, 61773155, 61502212, 61673196, 61272530 and in part by Research Grants Council of Hong Kong Special Administrative Region under Grant Nos. GRF CityU 11300415 and CityU 11204514.

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Authors and Affiliations

  1. School of Computer Science and Technology, Jiangsu Normal University, Xuzhou, 221116, China

    Xiaoyang Liu

  2. Department of Mathematics, City University of Hong Kong, Hong Kong, China

    Daniel W. C. Ho

  3. College of Electrical Engineering, Henan University of Technology, Zhengzhou, 450001, China

    Qiang Song

  4. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  5. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, China

    Jinde Cao

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  1. Xiaoyang Liu
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  2. Daniel W. C. Ho
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  3. Qiang Song
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  4. Jinde Cao
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Correspondence to Xiaoyang Liu.

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Liu, X., Ho, D.W.C., Song, Q. et al. Finite-/fixed-time robust stabilization of switched discontinuous systems with disturbances. Nonlinear Dyn 90, 2057–2068 (2017). https://doi.org/10.1007/s11071-017-3782-9

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  • DOI: https://doi.org/10.1007/s11071-017-3782-9

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