Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/32025
Title: H∞ PID Control for Singularly Perturbed Systems With Randomly Switching Nonlinearities Under Dynamic Event-Triggered Mechanism
Other Titles: H<inf>∞</inf> PID Control for Singularly Perturbed Systems With Randomly Switching Nonlinearities Under Dynamic Event-Triggered Mechanism
Authors: Jiao, Z
Wang, Z
Luo, Y
Wang, F
Keywords: H∞ performance index;dynamic event-triggered mechanism;proportional-integral-derivative control;randomly switching nonlinearities
Issue Date: 7-Feb-2025
Publisher: Wiley
Citation: Jiao, Z. et al. (2025) 'H∞ PID Control for Singularly Perturbed Systems With Randomly Switching Nonlinearities Under Dynamic Event-Triggered Mechanism', International Journal of Robust and Nonlinear Control, 35 (9), pp. 3584 - 3597. doi: 10.1002/rnc.7867.
Abstract: In this article, the observer-based H<inf>∞</inf> proportional-integral-derivative (PID) control problem is studied for a class of singular perturbed systems with randomly switching nonlinearities. During the modeling process, a set of binary random sequences is introduced to describe the random behaviors of the nonlinear switching encountered in engineering practice. Considering the singular perturbation parameter (SPP), an observer-based H<inf>∞</inf> PID controller is constructed for the concerned singularly perturbed systems (SPSs), where the state information is estimated. To improve communication efficiency and reduce resource waste, a dynamic event-triggered mechanism is employed during the measurement transmission. Meanwhile, an SPP-dependent Lyapunov-Krasovskii function is utilized to derive conditions under which the closed-loop system is guaranteed to be stochastically stable with the desired H<inf>∞</inf> performance under a specified upper bound on the SPP. All the desired observer and controller gains are determined by solving a set of matrix inequalities. Finally, the effectiveness and superiority of the suggested PID control method are verified through a simulation example.
URI: https://bura.brunel.ac.uk/handle/2438/32025
DOI: https://doi.org/10.1002/rnc.7867
ISSN: 1049-8923
Other Identifiers: ORCiD: Zidong Wang https://orcid.org/0000-0002-9576-7401
Appears in Collections:Dept of Computer Science Embargoed Research Papers

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FullText.pdfEmbargoed until 7 February 20256. Copyright © 2025 John Wiley & Sons Ltd. This is the peer reviewed version of the following article: Jiao, Z., Wang, Z., Luo, Y. and Wang, F. (2025), PID Control for Singularly Perturbed Systems With Randomly Switching Nonlinearities Under Dynamic Event-Triggered Mechanism. International Journal of Robust Nonlinear Control, 35: 3584-3597, which has been published in final form at https://doi.org/10.1002/rnc.7867. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions (see: https://authorservices.wiley.com/author-resources/Journal-Authors/licensing/self-archiving.html ).269.9 kBAdobe PDFView/Open


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