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基于线性矩阵不等式的一类分数阶中立型时滞系统的保性能控制方法下的延迟输出反馈控制器设计

LMI-Based Delayed Output Feedback Controller Design for a Class of Fractional-Order Neutral-Type Delay Systems Using Guaranteed Cost Control Approach.

作者信息

Aghayan Zahra Sadat, Alfi Alireza, Lopes António M

机构信息

Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran.

LAETA/INEGI, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal.

出版信息

Entropy (Basel). 2022 Oct 19;24(10):1496. doi: 10.3390/e24101496.

DOI:10.3390/e24101496
PMID:37420515
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9601818/
Abstract

In this research work, we deal with the stabilization of uncertain fractional-order neutral systems with delayed input. To tackle this problem, the guaranteed cost control method is considered. The purpose is to design a proportional-differential output feedback controller to obtain a satisfactory performance. The stability of the overall system is described in terms of matrix inequalities, and the corresponding analysis is performed in the perspective of Lyapunov's theory. Two application examples verify the analytic findings.

摘要

在这项研究工作中，我们研究具有输入延迟的不确定分数阶中立系统的镇定问题。为解决此问题，考虑采用保性能控制方法。目的是设计一个比例-微分输出反馈控制器以获得令人满意的性能。通过矩阵不等式描述整个系统的稳定性，并从李雅普诺夫理论的角度进行相应分析。两个应用实例验证了分析结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/44a39a1d7774/entropy-24-01496-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/1495830da55f/entropy-24-01496-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/aff5e8d69292/entropy-24-01496-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/eab536679e89/entropy-24-01496-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/a10a6fffc901/entropy-24-01496-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/adf417df08f3/entropy-24-01496-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/5a66baca06f5/entropy-24-01496-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/625b6e9fc62e/entropy-24-01496-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/44a39a1d7774/entropy-24-01496-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/1495830da55f/entropy-24-01496-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/aff5e8d69292/entropy-24-01496-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/eab536679e89/entropy-24-01496-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/a10a6fffc901/entropy-24-01496-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/adf417df08f3/entropy-24-01496-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/5a66baca06f5/entropy-24-01496-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/625b6e9fc62e/entropy-24-01496-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f242/9601818/44a39a1d7774/entropy-24-01496-g008.jpg

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本文引用的文献

1
Guaranteed cost-based feedback control design for fractional-order neutral systems with input-delayed and nonlinear perturbations.
ISA Trans. 2022 Dec;131:95-107. doi: 10.1016/j.isatra.2022.05.002. Epub 2022 May 9.
2
Review of fractional epidemic models.分数阶流行病模型综述。
Appl Math Model. 2021 Sep;97:281-307. doi: 10.1016/j.apm.2021.03.044. Epub 2021 Apr 20.
3
Robust stability of uncertain fractional order systems of neutral type with distributed delays and control input saturation.具有分布时滞和控制输入饱和的中立型不确定分数阶系统的鲁棒稳定性
ISA Trans. 2021 May;111:144-155. doi: 10.1016/j.isatra.2020.11.009. Epub 2020 Nov 10.
4
Further triple integral approach to mixed-delay-dependent stability of time-delay neutral systems.时滞中立型系统混合时滞依赖稳定性的进一步三重积分方法
ISA Trans. 2017 Sep;70:116-124. doi: 10.1016/j.isatra.2017.05.010. Epub 2017 May 30.
5
Improved results on delay-interval-dependent robust stability criteria for uncertain neutral-type systems with time-varying delays.时变时滞不确定中立型系统基于延迟区间依赖的鲁棒稳定性准则的改进结果。
ISA Trans. 2016 Jan;60:53-66. doi: 10.1016/j.isatra.2015.11.004. Epub 2015 Dec 25.
6
State-dependent neutral delay equations from population dynamics.来自种群动态学的状态依赖中性延迟方程。
J Math Biol. 2014 Oct;69(4):1027-56. doi: 10.1007/s00285-014-0821-8. Epub 2014 Aug 13.