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基于描述离散Lyapunov函数法的中立型时滞系统鲁棒控制:设计与稳定性分析

Robust control of neutral delayed systems using descriptive discretized Lyapunov function method: Design and stability analysis.

作者信息

Sabzevari Kiomars, Khosravi Mohsen, Azarinfar Hossein, Ahmadi Monireh

机构信息

Department of Electrical Engineering, Technical and Vocational University (TVU), Tehran, Iran.

Faculty of Computer and Electrical Engineering, University of Gonabad, St. Ghafari, Gonabad, Iran.

出版信息

Heliyon. 2024 Feb 19;10(4):e26648. doi: 10.1016/j.heliyon.2024.e26648. eCollection 2024 Feb 29.

DOI:10.1016/j.heliyon.2024.e26648
PMID:39670069
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11636834/
Abstract

Robust control of neutral delayed systems poses a significant challenge due to their intricate dynamics and susceptibility to uncertainties. In response to this challenge, this study presents an innovative approach that combines robust control principles with the descriptive discretized Lyapunov function method. Our novel methodology enables the design of a controller capable of effectively managing disturbances, uncertainties, and inherent time delays within the system. This paper provides a comprehensive theoretical examination of our approach, encompassing the derivation of stability conditions and the establishment of robustness guarantees. To validate the effectiveness of our robust control approach in neutral delayed systems, extensive simulations were conducted. These simulations not only confirm the efficacy of our method but also reveal marked improvements in system performance and robustness compared to existing techniques. By introducing this research, we contribute to the field of control theory by offering a practical and dependable solution for the intricate problem of robust control in neutral delayed systems. Our approach not only enhances system stability but also fortifies its performance under challenging conditions, offering a promising avenue for applications across various domains.

摘要

由于其复杂的动态特性以及对不确定性的敏感性,中立型时滞系统的鲁棒控制面临着重大挑战。针对这一挑战,本研究提出了一种创新方法,将鲁棒控制原理与描述性离散李雅普诺夫函数方法相结合。我们的新方法能够设计出一种控制器,该控制器能够有效地管理系统中的干扰、不确定性和固有时间延迟。本文对我们的方法进行了全面的理论研究,包括稳定性条件的推导和鲁棒性保证的建立。为了验证我们的鲁棒控制方法在中立型时滞系统中的有效性,我们进行了广泛的仿真。这些仿真不仅证实了我们方法的有效性,还揭示了与现有技术相比,系统性能和鲁棒性有显著提高。通过介绍这项研究,我们为控制理论领域做出了贡献,为中立型时滞系统中复杂的鲁棒控制问题提供了一种实用且可靠的解决方案。我们的方法不仅增强了系统稳定性,还在具有挑战性的条件下强化了其性能,为跨领域应用提供了一条有前景的途径。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1671/11636834/6265fce929fe/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1671/11636834/039785afc9fb/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1671/11636834/46871a33fc45/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1671/11636834/4e7d5e21f47d/gr8.jpg
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