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Dynamic Output Feedback Control and Guaranteed Cost Finite-Time Boundedness for Switched Linear Systems

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Abstract

This paper is concerned with event-triggered and guaranteed cost finite-time control for switched systems with dynamic quantized output feedback and exogenous disturbances. First, one common strategy is superseded by one mode-dependent event-triggered strategy, which means each subsystem possesses its own event-triggered substrategy. Second, considering the hardship of obtained system state information, a dynamic quantized output feedback controller is used to stabilize the switched system. Third, by using the methods of multiple Lyapunov functionals, free-weighting matrices and the average dwell time for the switched system, the sufficient condition of finite-time boundedness (FTB) is obtained for the switched system; and a synthesis procedure is provided to obtain the dynamic output feedback controller gain, event-triggered strategy parameters and an upper bound of the quadratic performance function. Finally, a numerical simulation is given to demonstrate the effectiveness of the proposed method.

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The authors declare that the data supporting the findings of this study are available within the article.

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Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities under Grant GK201905001, Funded Projects for the Academic Leaders and Academic Backbones, Shaanxi Normal University: 18QNGG005 and Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2021JM-208).

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  1. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, 710119, China

    Mingxing Liu, Baowei Wu, Yue-E Wang & Lili Liu

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  1. Mingxing Liu
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  2. Baowei Wu
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Correspondence to Baowei Wu.

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Liu, M., Wu, B., Wang, YE. et al. Dynamic Output Feedback Control and Guaranteed Cost Finite-Time Boundedness for Switched Linear Systems. Circuits Syst Signal Process 41, 2653–2668 (2022). https://doi.org/10.1007/s00034-021-01908-1

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  • DOI: https://doi.org/10.1007/s00034-021-01908-1

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