基于扰动估计的分数阶模糊控制系统动态补偿器设计

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-08-01 DOI:10.22111/IJFS.2021.6178

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

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引用次数: 0

摘要

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。

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

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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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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.