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Sampling-based Event-triggered and Self-triggered Control for Linear Systems

  • Control Theory and Applications
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Abstract

This work considers the event-triggered and self-triggered control for linear systems with periodic sampling schemes. An event-triggered control using sampled states is proposed. The asymptotic stability of the closed-loop system is guaranteed by a condition in terms of a linear matrix inequality. Moreover, a self-triggered control with sampling is presented and the next control task release time is predicted based on the current sampled data. It is noted that by introducing the periodic sampling scheme, Zeno behaviors can be naturally avoided in both of the algorithms. Finally, simulation results are provided to illustrate the theoretical effectiveness.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China

    Jun Chen, Yuan Fan & Chengxiao Zhang

  2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Cheng Song

Authors
  1. Jun Chen
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  2. Yuan Fan
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  3. Chengxiao Zhang
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  4. Cheng Song
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Corresponding author

Correspondence to Yuan Fan.

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Recommended by Associate Editor Xiangpeng Xie under the direction of Editor PooGyeon Park. This work was supported by the National Key R&D Program of China (2018YFB1305804), and the Natural Science Foundation of Jiangsu Province (No. BK20181298).

Jun Chen received his B.Eng degree in School of Mechanical and Electrical Engineering from Huainan Normal University in 2017. He has been with Anhui University since 2017, where he is currently pursuing his master’s degree. His research interests include rehabilitation exoskeleton control, event-triggered control, intelligent systems and control.

Yuan Fan received his B.Eng. degree in Automation from the University of Science and Technology of China, Hefei, China, in 2006, and his Ph.D. degrees in Control Science and Engineering both from the University of Science and Technology of China and the City University of Hong Kong in 2011. He was a research fellow in School of Electrical and Electronic Engineering, Nanyang Technological University in 2015, and a senior research associate in Department of Biomedical Engineering, City University of Hong Kong from March to September in 2018. He has been with Anhui University since 2011, where he is currently a Professor. His main research interests include networked dynamic systems, distributed control, multi-agent coordination, intelligent systems and control, and robotics.

Chengxiao Zhang received his B.Eng. and M.S. degrees in School of Electrical Engineering and Automation from An-hui University, Hefei, China, in 2016 and in 2019, respectively. His research interests include multi-agent coordination, distributed control, event-triggered control.

Cheng Song received his B.Eng degree in Automation from the University of Science and Technology of China, Hefei, China, in 2007, and his Ph.D. degree in Control Theory and Control Engineering from the University of Science and Technology of China in 2012, and a Ph.D. degrees in Mechanical and Biomedical Engineering from the City University of Hong Kong in the same year. He has been with Nanjing University of Science and Technology since 2012, where he is currently an Associate Professor. His main research interests include nonlinear control, multi-agent systems, distributed cooperative control, optimal control, and mobile sensor networks.

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Chen, J., Fan, Y., Zhang, C. et al. Sampling-based Event-triggered and Self-triggered Control for Linear Systems. Int. J. Control Autom. Syst. 18, 672–681 (2020). https://doi.org/10.1007/s12555-019-0058-9

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  • DOI: https://doi.org/10.1007/s12555-019-0058-9

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