Abstract
This paper investigates security control for linear parameter-varying partial differential equation systems under an improved dynamic event-triggered mechanism (DETM). Initially, based on the Takagi–Sugeno fuzzy model, the nonlinear terms of the considered systems are approximated. Then, pointwise measurements are introduced to reduce the number of sensors. To further abate the transmission channel congestion caused by the limited bandwidth, an improved DETM is offered. Besides, point fuzzy controller is constructed to save control costs by utilizing limited actuators. Especially, in the networked control framework, the appearance of attacks will pose a serious threat to the systems’ stability. To simulate complex forms of attacks, dual deception attacks are taken into account. Moreover, some appropriate parameter-dependent Lyapunov–Krasovskii functionals are employed to obtain correlated conditions that ensure the exponential stability of the target system. Finally, numerical and application examples are provided to verify the effectiveness of the proposed design methods. The average trigger rate in the two cases is reduced to 4.58% and 3.68%, respectively.
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Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grants 62203153 and 61976081, in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127, in part by Key Scientific Research Projects of Higher Education Institutions in Henan Province under Grant 22A413001, in part by Top Young Talents in Central Plains under Grant Yuzutong (2021) 44, in part by Technology Innovative Teams in University of Henan Province under Grant 23IRTSTHN012, in part by the Natural Science Fund for Young Scholars of Henan Province under Grant 222300420151, and in part by the Serbian Ministry of Education, Science and Technological Development (No. 451-03-68/2022-14/200108).
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Song, X., Song, Y., Stojanovic, V. et al. Improved Dynamic Event-Triggered Security Control for T–S Fuzzy LPV-PDE Systems via Pointwise Measurements and Point Control. Int. J. Fuzzy Syst. 25, 3177–3192 (2023). https://doi.org/10.1007/s40815-023-01563-5
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DOI: https://doi.org/10.1007/s40815-023-01563-5