(2008-6132) A novel fuzzy sliding mode control approach for chaotic systems

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-07-15 DOI:10.22111/IJFS.2021.6248

R. Amirabadi, O. S. Fard, A. Mansoori

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引用次数: 0

Abstract

The purpose of this paper is to study the stabilization problem for a class of uncertain chaotic systems against unknown dynamics and disturbances, based on fuzzy sliding mode controller approaches. To fulfill this aim, the first- and the second-orders sliding mode controllers and an adaptive variable universe fuzzy sliding mode controller are combined to a set of linguistic rules, to design some novel approaches for improving the performance of the control action and eliminating the chattering issue. The stability analysis of the closed-loop system is proved via the Lyapunov stability theorem, and also the convergence of the tracking error to zero in finite-time is guaranteed. The new proposed control laws contribute the control actions to outperform the conventional one in terms of chattering reduction and elimination, along with lessening in the reaching time. Moreover, some numerical simulations are provided to depict that the proposed control laws are not only robust with respect to uncertainties and external disturbances, which lead the system to the desired state, but also can significantly eliminate the chattering effect.

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一种新的混沌系统模糊滑模控制方法

本文的目的是研究一类不确定混沌系统在未知动态和扰动下的模糊滑模控制器镇定问题。为了实现这一目标，将一阶和二阶滑模控制器以及自适应变域模糊滑模控制器结合到一组语言规则中，设计了一些新的方法来提高控制动作的性能并消除抖振问题。利用李雅普诺夫稳定性定理证明了闭环系统的稳定性分析，并保证了跟踪误差在有限时间内收敛于零。新控制律的控制动作在减少和消除抖振方面优于传统控制律，同时也缩短了到达时间。数值仿真结果表明，所提出的控制律不仅对不确定性和外界干扰具有鲁棒性，使系统达到理想状态，而且能显著消除抖振效应。

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

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.