Fault estimation for T-S fuzzy systems via an $L_\infty$ switching observer scheme

Venue: IEEE_org_ICIST_2024_Conference
Published: 2024-08-10 03:29:49

Abstract: This paper addresses the fault estimation (FE) problem for T-S fuzzy systems based on the switching observer scheme. Firstly, a fuzzy FE observer with switching rules is designed, where the product of time derivative of the membership functions and Lyapunov matrix can be guaranteed to be negative definite. Furthermore, to increase the robustness of the observer against the persistence disturbance, an $L_\infty$ performance index is considered for synthesizing the FE observer. Then, based on the Lyapunov stability analysis method and the average dwell-time technique, the synthesis conditions of the $L_\infty$ FE switching observer are given in terms of linear matrix inequalities (LMIs). The merit of the proposed method is that by using the switching rules, the constraint in the conventional methods, where the state should be limited into a local area, can be removed. Meanwhile, based on the $L_\infty$ performance analysis, the developed approach has a good FE performance for the systems with persistent disturbance. Finally, an example is given to show the efficacy of the presented FE scheme.

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Reviews: review: title: title: Fault estimation for T-S fuzzy systems via an   switching observer scheme
main_review: main_review: This paper addresses the fault estimation (FE) problem for T-S fuzzy systems based on the switching observer scheme.
a The abstract should mainly include elements such as research purpose, methods and final results, and reviewers suggest optimizing the content of the abstract. 
b What are the significant differences between this study and previous studies? The author needs more explicit emphasis.
c There are some grammatical mistakes and typos. Please examine the full text further and revise them.
d The references should be updated. Some closely related and new references should be added to show to further explain the novelty and innovation of the work.
title: title: Accept
main_review: main_review: This paper studied with the FE problem for T-S fuzzy systems with unmeasurable premise variables. The theory is correct and can be accepted after responding the following comments.
(1)	In the introduction, it is not enough to state the current work. It should be expended and reconstructed.
(2)	There are many typos and grammar errors. The authors should have a native English speaker or software packages to perform the editing check.
(3)	The conclusion of the article suggests using the present perfect tense for description.
title: title: Good work
main_review: main_review: The paper titled "Fault estimation for T-S fuzzy systems via an  $L_\infty$ switching observer scheme" proposes a switching observer for T-S fuzzy systems. In the theoretical part, a fuzzy FE observer with switching rules is designed. And its $L_\infty$  performance index is investigated. My specific feedback is as follows:
1) Some formatting issues need to be addressed.
2) The motivation for studying switching observers can be illustrated more clearly in Introduction.