Abstract
This paper investigates dynamic event-triggered fuzzy reduced-order filtering for a class of nonlinear semi-linear parabolic partial differential equation (PDE) systems. First, the considered systems are reconstructed by a Takagi-Sugeno (T-S) fuzzy model based on the sector nonlinearity approach. Furthermore, a dynamic event-triggered mechanism is developed to improve network resource utilization. Based on the non-parallel distribution compensation principle, several theorems that guarantee the augmented system’s asymptotic stability with L2-L∞ performance are provided. Finally, two examples are introduced to illustrate the effectiveness of the proposed method.
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This work was supported in part by the National Natural Science Foundation of China under Grants 61976081 and 62203153, 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, and in part by the Natural Science Fund for Young Scholars of Henan Province under Grant 222300420151.
Zhen Zhang received his B.S. degree in measurement and control technology and instrument from the School of Information Engineering, Pingdingshan University, Pingdingshan, China, in 2019. He is studying for an M.S. degree in the School of Information Engineering, Henan University of Science and Technology, Luoyang, China. His current research interests include robust filtering and control, fault detection, and distributed parameter systems.
Xiaona Song received her Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From February 2009 to August 2009 and April 2016 to April 2017, she was a visiting scholar with the Department of Electrical Engineering, Utah State University and Southern Illinois University Carbon-dale, respectively. Since 2011, she has been with Henan University of Science and Technology, Luoyang, China, where she is currently a Professor with the School of Information Engineering. Her current research interests include Markov jump distributed parameter systems, complex networks, fractional-order systems and control, fuzzy control, and nonlinear control.
Xiangliang Sun received his B.S. degree in measurement and control technology and instrument from the School of Information Engineering, Pingdingshan University, Pingdingshan, China, in 2019. He is studying for an M.S. degree in the School of Information Engineering, Henan University of Science and Technology, Luoyang, China. His current research interests include fractional-order neural networks, multiagent systems, and distributed parameter systems.
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Zhang, Z., Song, X. & Sun, X. Dynamic Event-triggered Fuzzy Filtering for Semi-linear Parabolic PDE Systems: A Reduced-order Approach. Int. J. Control Autom. Syst. 22, 406–418 (2024). https://doi.org/10.1007/s12555-021-1015-y
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DOI: https://doi.org/10.1007/s12555-021-1015-y