Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism

This paper is concerned with the problem of integral sliding mode control for a class of T-S fuzzy systems based on a fuzzy event triggering mechanism. Firstly, two types of integral sliding switching functions are presented, which include the continuous state dependent sliding mode surface and the...

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Main Authors: Lingling Wan, Zirui Wang
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10414057/
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author Lingling Wan
Zirui Wang
author_facet Lingling Wan
Zirui Wang
author_sort Lingling Wan
collection DOAJ
description This paper is concerned with the problem of integral sliding mode control for a class of T-S fuzzy systems based on a fuzzy event triggering mechanism. Firstly, two types of integral sliding switching functions are presented, which include the continuous state dependent sliding mode surface and the triggering state dependent surface. The former is used to analyze the reachability of the sliding surface, while the latter is used to design the event-triggered integral sliding mode controller. Secondly, the fuzzy triggering mechanism is proposed, which consists of the fuzzy membership function and the state information. It provides an important guarantee for the boundedness of the sliding variable error. Thirdly, the event-triggered sliding mode control law is designed based on the triggering state dependent integral sliding mode surface and fuzzy triggering mechanism, the event-triggered sliding mode control law with asynchronous premise variables is designed. Furthermore, the uniformly positive upper bound for the internal execution time can be obtained, which means that there is no Zeno phenomenon. Finally, two simulation examples are presented to illustrate the validity and advantages of the proposed method.
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spelling doaj.art-70239d485c314167b37ccfe6b2c7005d2024-02-06T00:00:59ZengIEEEIEEE Access2169-35362024-01-0112177481775910.1109/ACCESS.2024.335834710414057Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering MechanismLingling Wan0https://orcid.org/0009-0008-6638-7486Zirui Wang1School of Automation, Nanjing University of Information Science and Technology, Nanjing, ChinaSchool of Automation, Nanjing University of Information Science and Technology, Nanjing, ChinaThis paper is concerned with the problem of integral sliding mode control for a class of T-S fuzzy systems based on a fuzzy event triggering mechanism. Firstly, two types of integral sliding switching functions are presented, which include the continuous state dependent sliding mode surface and the triggering state dependent surface. The former is used to analyze the reachability of the sliding surface, while the latter is used to design the event-triggered integral sliding mode controller. Secondly, the fuzzy triggering mechanism is proposed, which consists of the fuzzy membership function and the state information. It provides an important guarantee for the boundedness of the sliding variable error. Thirdly, the event-triggered sliding mode control law is designed based on the triggering state dependent integral sliding mode surface and fuzzy triggering mechanism, the event-triggered sliding mode control law with asynchronous premise variables is designed. Furthermore, the uniformly positive upper bound for the internal execution time can be obtained, which means that there is no Zeno phenomenon. Finally, two simulation examples are presented to illustrate the validity and advantages of the proposed method.https://ieeexplore.ieee.org/document/10414057/Event-triggered controlintegral sliding mode controlT-S fuzzy systems
spellingShingle Lingling Wan
Zirui Wang
Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
IEEE Access
Event-triggered control
integral sliding mode control
T-S fuzzy systems
title Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
title_full Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
title_fullStr Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
title_full_unstemmed Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
title_short Integral Sliding Mode Control of T-S Fuzzy Systems via a Fuzzy Triggering Mechanism
title_sort integral sliding mode control of t s fuzzy systems via a fuzzy triggering mechanism
topic Event-triggered control
integral sliding mode control
T-S fuzzy systems
url https://ieeexplore.ieee.org/document/10414057/
work_keys_str_mv AT linglingwan integralslidingmodecontroloftsfuzzysystemsviaafuzzytriggeringmechanism
AT ziruiwang integralslidingmodecontroloftsfuzzysystemsviaafuzzytriggeringmechanism