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Dynamic Event-Triggered Control for Nonlinear Systems: A Small-Gain Approach

Journal of Systems Science and Complexity volume 33, pages 930–943 (2020)Cite this article

Abstract

An event-triggered control (ETC) system transmits data packages and updates control inputs only when the predefined criterion is satisfied. In this way, network communication and computing resources are scheduled more reasonably in contrast to the traditional periodic sampling strategy. Small-gain approach proposed in recent literatures is a new modeling method to deal with nonlinear ETC systems. Different from traditional ETC models, stability criteria are proposed in the form of input to state stability (ISS) gain to design the triggering mechanisms. This paper introduces additional dynamic variables in this model and proposes a small-gain based dynamic event-triggered strategy. Sufficient conditions to guarantee the stability of the system are derived with the help of cyclic-small-gain theorem and Zeno behaviors are avoided to ensure the feasibility of this method in practical applications. Numerical simulations are given to demonstrate the effectiveness of our approach.

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Authors and Affiliations

  1. School of Automation, Beijing Institute of Technology, Beijing, 100081, China

    Qingtao Zhao, Jian Sun & Yongqiang Bai

  2. Key Laboratory of Intelligent Control and Decision of Complex System, Beijing Institute of Technology, Beijing, 100081, China

    Qingtao Zhao, Jian Sun & Yongqiang Bai

Authors
  1. Qingtao Zhao
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  2. Jian Sun
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  3. Yongqiang Bai
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Corresponding author

Correspondence to Yongqiang Bai.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61522303, U1509215, 61621063, Program for Changjiang Scholars and Innovative Research Team in University under Grant No. IRT1208, Youth ChangJiang Scholars Program, National Outstanding Youth Talents Support Program.

This paper was recommended for publication by Editor LIU Guoping.

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Zhao, Q., Sun, J. & Bai, Y. Dynamic Event-Triggered Control for Nonlinear Systems: A Small-Gain Approach. J Syst Sci Complex 33, 930–943 (2020). https://doi.org/10.1007/s11424-020-9210-0

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  • DOI: https://doi.org/10.1007/s11424-020-9210-0

Keywords

  • Cyclic-small-gain theorem
  • event-triggered control
  • input-to-state stability (ISS)
  • nonlinear systems