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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.

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/f242/9601818/1495830da55f/entropy-24-01496-g001.jpg

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