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Robust H∞ Control of Switched Nonlinear Systems Under Sampled Data

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Abstract

This paper investigates the globally asymptotically stable and L2-gain of robust H∞ control for switched nonlinear systems under sampled data. By considering the relationship between the sampling period and the dwell time, the non-switching and one switching are discussed in the sampling interval, respectively. Firstly, a state feedback sampled-data controller is constructed by the back-stepping method, and the switching converts to asynchronous switching if it happens within the sampling interval. Then, under the limiting conditions of the sampling period, which are obtained by the average dwell time method, the closed-loop system is globally asymptotically stable and has L2-gain. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Hongpeng Zhao & Xingtao Wang

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  1. Hongpeng Zhao
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  2. Xingtao Wang
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Correspondence to Hongpeng Zhao or Xingtao Wang.

Additional information

This paper was recommended for publication by Editor JIA Yingmin.

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Zhao, H., Wang, X. Robust H∞ Control of Switched Nonlinear Systems Under Sampled Data. J Syst Sci Complex 35, 1785–1807 (2022). https://doi.org/10.1007/s11424-022-1039-2

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  • DOI: https://doi.org/10.1007/s11424-022-1039-2

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