$H_{\infty}$ control for discrete-time IT2 fuzzy system with infinite distributed-delay via Adaptive event-triggered scheme and its application

Syed Ali, M.; MUBEEN TAJUDEEN, M; Rajchakit, Grienggrai; Jirawattanapanit, Anuwat

doi:10.22111/ijfs.2023.43679.7686

Document Type : Research Paper

Authors

¹ Department of Mathematics, Thiruvalluvar University, Vellore - 632 106, Tamilnadu, India

² Complex systems and Networked Science Lab, Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, India.

³ Maejo university, Thailand.

⁴ Department of Mathematics, Faculty of Science and Technology, Rajabhat Phuket University, Phuket, Thailand

https://doi.org/10.22111/ijfs.2023.43679.7686

Abstract

This article investigates the $H_{\infty}$ control problem for discrete-time interval type-2 (IT2) fuzzy systems with infinite distributed delay via an adaptive event-triggered scheme. The IT2 T-S fuzzy system, which is a development over the (type-1) T-S fuzzy system, has greater effectiveness for the expression of system uncertainty, which will improve the difficulty of analysis. Our main goal is to make more efficient use of network resources by developing an adaptive event-triggered controller for interval type-2 fuzzy systems. In contrast to the traditional triggering method, an adaptive event-triggered technique is proposed to improve bandwidth consumption and network control performance. The triggering function's parameters are based on an adaptive law. Moreover, employing the Lyapunov functional method, the resultant criterion gives sufficient conditions to guarantee that discrete time IT2 fuzzy systems are mean-square exponentially stable with a $H_{\infty}$ performance. Finally, a single-link robot arm model and a DC motor are employed to show the usefulness and efficiency of the obtained theoretical results.

Keywords

Main Subjects

Fuzzy Math

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$H_{\infty}$ control for discrete-time IT2 fuzzy system with infinite distributed-delay via Adaptive event-triggered scheme and its application

References

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Volume 21, Issue 1January and February 2024Pages 83-101

Volume 21, Issue 1
January and February 2024
Pages 83-101