Disturbance estimator based dynamic compensator design for fractional order fuzzy control systems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-08-01 DOI:10.22111/IJFS.2021.6178

S. Kanakalakshmi, R. Sakthivel, L. S. Ramya, A. Parivallal, A. Leelamani

引用次数: 0

Abstract

The robust stabilization problem for singular fractional order time delay T-S fuzzy systems with nonlinearities and unknown external disturbances is addressed in this paper. An equivalent-input-disturbance (EID) estimator is used to estimate the impact of external disturbances and nonlinearities on the system output. Based on this EID approach, a dynamic compensator is designed to solve the stabilization problem of the considered system. Moreover, by considering a relevant Lyapunov-Krasovskii functional candidate and by using Lyapunov technique, the stability conditions in terms of LMIs are acquired for the considered closed-loop system. At last, to validate the effectiveness of the proposed result, two numerical examples are provided.

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基于扰动估计的分数阶模糊控制系统动态补偿器设计

研究了具有非线性和未知外部扰动的奇异分数阶时滞T-S模糊系统的鲁棒镇定问题。等效输入干扰(EID)估计器用于估计外部干扰和非线性对系统输出的影响。在此基础上，设计了动态补偿器来解决所考虑系统的镇定问题。此外，通过考虑相关的Lyapunov- krasovskii泛函候选函数并利用Lyapunov技术，获得了所考虑的闭环系统在lmi方面的稳定性条件。最后，为了验证所提结果的有效性，给出了两个数值算例。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.