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On-line Access: 2021-10-08

Received: 2020-08-30

Revision Accepted: 2020-11-29

Crosschecked: 2021-08-06

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Zahra Sadat Aghayan

https://orcid.org/0000-0002-8488-3685

Alireza Alfi

https://orcid.org/0000-0002-7034-0735

J. A. Tenreiro Machado

https://orcid.org/0000-0003-4274-4879

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Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.10 P.1402-1412

http://doi.org/10.1631/FITEE.2000438


Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation


Author(s):  Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado

Affiliation(s):  Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran; more

Corresponding email(s):   a_alfi@shahroodut.ac.ir

Key Words:  Fractional-order system, Stability, Neutral delay, Robust, Saturation


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Zahra Sadat Aghayan, Alireza Alfi, J. A. Tenreiro Machado. Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(10): 1402-1412.

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year="2021",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2000438"
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Abstract: 
This study analyzes the problem of robust stability of fractional-order delay systems of neutral type under actuator saturation. A Lyapunov–Krasovskii (LK) function is constructed and conditions of the asymptotic robust stability of such systems are given, which are formulated by linear matrix inequalities (LMIs), using the Lyapunov direct method. An algorithm is introduced to compute the gain of the state feedback controller for extending the domain of attraction. The theoretical results are validated using some numerical examples.

执行器饱和条件下不确定的中立型分数阶时滞系统的稳定性分析

Zahra Sadat AGHAYAN1,Alireza ALFI1,J. A. TENREIRO MACHADO2
1沙鲁德科技大学电气与机器人工程系,伊朗沙德鲁市,36199-95161
2波尔图理工学院工程研究所,葡萄牙波尔图市,4249-015
摘要:分析了执行器饱和条件下中立型分数阶时滞系统的鲁棒稳定性问题。构建了一个Lyapunov-Krasovskii(LK)函数,并给出此类系统的渐近鲁棒稳定性条件,这些条件使用Lyapunov直接方法构造的线性矩阵不等式(LMIs)表示。引入一种算法计算状态反馈控制器的增益以扩展吸引域。数值示例验证了理论结果。

关键词:分数阶系统;稳定性;中立时滞;鲁棒性;饱和性

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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