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Event-triggered stabilization of linear input-delay systems with state quantization and unknown time-varying delay: A Razumikhin stability theorem-based approach

Golestani, F ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.1177/01423312221149072
  3. Publisher: SAGE Publications Ltd , 2023
  4. Abstract:
  5. Benefiting from the input-to-state stability (ISS) version of the Razumikhin stability theorem, this paper deals with the stabilization of continuous linear input-delay systems with state quantization and without any knowledge about the delay. An event-triggered delay independent truncated predictor feedback (ET-DITPF) controller with a switched feedback control law is proposed to guarantee the globally uniformly asymptotic stability (GUAS)/globally uniformly exponential stability (GUES) of the closed-loop system. As a prominent feature, this controller uses no information about the time delay (neither its value nor its upper bound). In the proposed event-triggered framework, a lower bound for each two consecutive events is derived to show the non-occurrence of the Zeno behavior. Numerical simulations confirm the effectiveness of the obtained theoretical results. © The Author(s) 2023
  6. Keywords:
  7. Delay independent truncated predictor feedback ; Event-triggered control ; Input-to-state stability ; Quantization ; Razumikhin theorem ; Stabilization ; Unknown time-varying delay
  8. Source: Transactions of the Institute of Measurement and Control ; Volume 45, Issue 10 , 2023 , Pages 1965-1974 ; 01423312 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1177/01423312221149072