Event-Triggered Positive Filter Design for Positive Polynomial Fuzzy Systems via Premise Integration and Membership-Function-Dependent Methods

Meng Han, Ge Guo, Hak-Keung Lam, Bo Han, Zhengsong Wang

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
42 Downloads (Pure)

Abstract

This article focuses on the design of the positive fuzzy filter with an event-triggered mechanism for a positive polynomial fuzzy-model-based system. The main objective is to design a positive and stable fuzzy filter, which makes the L_1 performance index of the estimated output signal as good as possible with limited networked bandwidth resources. Since the positive constraints exist in the positive systems, while the disturbance signal of the output signal and the transmission delay in the event-triggered mechanism are taken into account in this research, the augmented system is rebuilt by introducing the weight coefficient of the disturbance signal, and a novel linear copositive Lyapunov function is proposed. In order to adapt to the analysis framework based on the linear Lyapunov function, a novel linear event-triggered condition is proposed. Furthermore, to handle the mismatched premise variables caused by the event-triggered mechanism, the premise variables associated with event-triggered instants are integrated into the interval of continuous premise variable with the help of the novel event-triggered condition, which means that the original multidimensional type-1 membership functions (MFs) are transformed into single-dimensional interval type-2 MFs. Then, an interval type-2 membership-function-dependent method is employed to introduce MF information into the resultant conditions, so that a more optimized L_1 performance index is obtained. Finally, an example with simulation results is given to verify the effectiveness of all the fuzzy filter design strategies proposed in this article for optimizing the performance index.

Original languageEnglish
Pages (from-to)3799-3811
Number of pages13
JournalIEEE Transactions on Fuzzy Systems
Volume31
Issue number11
DOIs
Publication statusPublished - 19 Apr 2023

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