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Accumulated-state-error-based event-triggered sampling scheme and its application to H∞ control of sampled-data systems

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Abstract

This paper is concerned with event-triggered H∞ control of sampled-data systems. Its novelties lie in three aspects: (i) A novel accumulated-state-error-based event-triggered scheme is introduced by comparing the integral of the state error from tk to t with the system state sampled at tk. This condition works well due to the fact that the so-called Zeno behaviour does not occur. (ii) A novel Lyapunov functional is constructed to establish a criterion to ensure some certain H∞ performance of the closed-loop system. This Lyapunov functional is dependent on the integral of the state error involved in the event-triggered scheme. (iii) Under the event-triggered sampling scheme, suitable state-feedback controllers can be designed rather than be given a priori. Moreover, a self-triggered implementation of the proposed event-triggered sampling scheme is presented as well. Finally, a batch reactor model and an inverted pendulum system are given to demonstrate the effectiveness of the proposed method.

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Acknowledgements

This work was partly supported by Key Project of Natural Science Foundation of Zhejiang Province of China (Grant No. LZ19F03000) and National Natural Science Foundation of China (Grant No. 62173209).

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Authors and Affiliations

  1. School of Science, Computing, and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, 3122, Australia

    Xian-Ming Zhang, Qing-Long Han & Xiaohua Ge

  2. College of Automation and Electronic Engineering, Qingdao University of Science & Technology, Qingdao, 266061, China

    Bao-Lin Zhang

  3. School of Mathematics, Shandong University, Jinan, 250100, China

    Dawei Zhang

Authors
  1. Xian-Ming Zhang
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  2. Qing-Long Han
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  3. Bao-Lin Zhang
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  4. Xiaohua Ge
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  5. Dawei Zhang
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Correspondence to Qing-Long Han.

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Zhang, XM., Han, QL., Zhang, BL. et al. Accumulated-state-error-based event-triggered sampling scheme and its application to H∞ control of sampled-data systems. Sci. China Inf. Sci. 67, 162206 (2024). https://doi.org/10.1007/s11432-023-4038-3

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  • DOI: https://doi.org/10.1007/s11432-023-4038-3

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