A Fuzzy Control Strategy to Synchronize Fractional-Order Nonlinear Systems Including Input Saturation

IF 5 2区计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Intelligent Systems Pub Date : 2023-08-23 DOI:10.1155/2023/1550256

Zahra Rasooli Berardehi, Chongqi Zhang, Mostafa Taheri, Majid Roohi, M. Khooban

引用次数: 1

Abstract

One of the most important engineering problems, with numerous uses in the applied sciences, is the synchronization of chaos dynamical systems. This paper introduces a dynamic-free T-S fuzzy sliding mode control (TSFSMC) method for synchronizing the different chaotic fractional-order (FO) systems, when there is input saturation. Using a new definition of fractional calculus and the fractional version of the Lyapunov stability theorem and linear matrix inequality concept, a Takagi–Sugeno fuzzy sliding mode controller is driven to suppress and synchronize the undesired behavior of the FO chaotic systems without any unpleasant chattering phenomenon. Finally, an example of synchronization of complex power grid systems is provided to illustrate the theoretical result of the paper in real-world applications.

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含输入饱和的分数阶非线性系统的模糊同步控制策略

混沌动力系统的同步是一个重要的工程问题，在应用科学中有着广泛的应用。本文介绍了一种无动态T-S模糊滑模控制(TSFSMC)方法，用于在输入饱和情况下同步不同的混沌分数阶系统。利用分数阶微积分的新定义、分数阶Lyapunov稳定性定理和线性矩阵不等式的概念，驱动Takagi-Sugeno模糊滑模控制器抑制和同步FO混沌系统的不良行为而不产生令人讨厌的抖振现象。最后，以复杂电网系统的同步为例，说明本文的理论结果在实际应用中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Intelligent Systems 工程技术-计算机：人工智能

CiteScore

11.30

自引率

14.30%

发文量

304

审稿时长

9 months

期刊介绍： The International Journal of Intelligent Systems serves as a forum for individuals interested in tapping into the vast theories based on intelligent systems construction. With its peer-reviewed format, the journal explores several fascinating editorials written by today''s experts in the field. Because new developments are being introduced each day, there''s much to be learned — examination, analysis creation, information retrieval, man–computer interactions, and more. The International Journal of Intelligent Systems uses charts and illustrations to demonstrate these ground-breaking issues, and encourages readers to share their thoughts and experiences.