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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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File | Description | Size | Format | |
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FullText.pdf | Embargoed 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 kB | Adobe PDF | View/Open |
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