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Finite-time control for a class of hybrid systems via quantized intermittent control

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Abstract

This paper considers the finite-time drive-response synchronization of stochastic nonlinear systems consisting of continuous-time and discrete-time subsystems. To save communication resources and reduce control cost, quantized controllers, which only work on continuous-time intervals, are designed. Owing to the hybrid characteristics of continuous- and discrete-time subsystems, existing finite-time stability theorems are not applicable. By developing novel analytical techniques, three criteria are derived to guarantee the finite-time synchronization. Moreover, the settling time is explicitly estimated. It is shown that the settling time is dependent not only on the control gains and systems’ initial conditions, but also on the control width and uncontrolled width. Numerical examples demonstrate the effectiveness of the theoretical analysis.

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Acknowledgements

This work was jointly supported by National Natural Science Foundation of China (Grant Nos. 61673078, 61833005), Bowang Scholar Program of Chongqing Normal University, and Chongqing Natural Science Foundation (Grant No. cstc2018jcyjAX0369).

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Authors and Affiliations

  1. Cunjin College, Guangdong Ocean University, Zhanjiang, 524094, China

    Xiaolin Xiong

  2. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, China

    Xinsong Yang & Rongqiang Tang

  3. Key Laboratory of Optimization and Control, Ministry of Education, Chongqing, 401331, China

    Xinsong Yang

  4. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096, China

    Jinde Cao

Authors
  1. Xiaolin Xiong
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  2. Xinsong Yang
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  3. Jinde Cao
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  4. Rongqiang Tang
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Correspondence to Xinsong Yang or Jinde Cao.

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Xiong, X., Yang, X., Cao, J. et al. Finite-time control for a class of hybrid systems via quantized intermittent control. Sci. China Inf. Sci. 63, 192201 (2020). https://doi.org/10.1007/s11432-018-2727-5

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  • DOI: https://doi.org/10.1007/s11432-018-2727-5

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