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Event-Triggered L1-Gain Control of Nonlinear Positive Switched Systems

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Abstract

This paper is concerned with the event-triggered L1-gain control of a class of nonlinear positive switched systems. First, an event-triggering condition in the form of 1-norm is presented for the systems. By virtue of the event-triggering strategy, the original system is transformed into an interval uncertain system. An event-triggered L1-gain controller is designed by decomposing the controller gain matrix into the sum of nonnegative and non-positive components. Under the design controller, the resulting closed-loop systems are positive and L1-gain stable. The obtained approach is developed for the systems subject to input saturation. All presented conditions are solvable in terms of linear programming. Finally, two examples are provided to verify the effectiveness of the design.

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Authors and Affiliations

  1. School of Automation, Hangzhou Dianzi University, Hangzhou, 310018, China

    Junfeng Zhang, Laiyou Liu, Shuo Li & Xuanjin Deng

  2. CNRS, UMR9189-CRIStAL, Inria, University of Lille, F-59000, Lille, France

    Junfeng Zhang

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  1. Junfeng Zhang
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  2. Laiyou Liu
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  3. Shuo Li
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  4. Xuanjin Deng
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Corresponding author

Correspondence to Junfeng Zhang.

Additional information

This paper was supported by the National Nature Science Foundation of China under Grant Nos. 61873314 and 61703132, the Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant No. GK209907299001-007, the Natural Science Foundation of Zhejiang Province, China under Grant Nos. LY20F030008 and LY20F030011, and the Foundation of Zhejiang Provincial Education Department of China under Grant No. Y201942017.

This paper was recommended for publication by Editor ZHAO Yanlong.

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Zhang, J., Liu, L., Li, S. et al. Event-Triggered L1-Gain Control of Nonlinear Positive Switched Systems. J Syst Sci Complex 34, 873–898 (2021). https://doi.org/10.1007/s11424-020-9324-4

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  • DOI: https://doi.org/10.1007/s11424-020-9324-4

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