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Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control

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Abstract

This paper studies the passivity of the T–S fuzzy singular system with randomly occurring uncertainties via the event-based sliding mode control. The sliding surface function is designed such that the resulting sliding mode dynamics can be expressed by the considered system. Some sufficient conditions are proposed to guarantee the sliding mode dynamics is generalized admissible and robustly passive. Under the aperiodic sampled-data environment, the sliding mode control law is proposed via the event-triggered method. It guarantees that the state trajectory of the system can be driven onto the predefined sliding surface in a finite time and keep it forever. Finally, three examples are given to demonstrate the feasibility and superiority of the design method.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China no. 61273004, and the Natural Science Foundation of Hebei province no. F2018203099.

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Authors and Affiliations

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

    Xiaojing Han & Yuechao Ma

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  1. Xiaojing Han
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  2. Yuechao Ma
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Correspondence to Yuechao Ma.

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Communicated by Antonio José Silva Neto.

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Han, X., Ma, Y. Passivity analysis for singular systems with randomly occurring uncertainties via the event-based sliding mode control. Comp. Appl. Math. 39, 99 (2020). https://doi.org/10.1007/s40314-020-1086-z

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  • DOI: https://doi.org/10.1007/s40314-020-1086-z

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