Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(2): 406-418

https://doi.org/10.1007/s12555-021-1015-y

© The International Journal of Control, Automation, and Systems

Dynamic Event-triggered Fuzzy Filtering for Semi-linear Parabolic PDE Systems: A Reduced-order Approach

Zhen Zhang, Xiaona Song*, and Xiangliang Sun

Henan University of Science and Technology

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 eventtriggered 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.

Keywords Dynamic event-triggered mechanism, PDE systems, reduced-order filtering, T-S fuzzy model.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(2): 406-418

Published online February 1, 2024 https://doi.org/10.1007/s12555-021-1015-y

Copyright © The International Journal of Control, Automation, and Systems.

Dynamic Event-triggered Fuzzy Filtering for Semi-linear Parabolic PDE Systems: A Reduced-order Approach

Zhen Zhang, Xiaona Song*, and Xiangliang Sun

Henan University of Science and Technology

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 eventtriggered 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.

Keywords: Dynamic event-triggered mechanism, PDE systems, reduced-order filtering, T-S fuzzy model.

IJCAS
February 2024

Vol. 22, No. 2, pp. 347~729

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