具有抗windup的离散系统时滞相关稳定性的延迟划分方法

IF 2.4 Q2 MULTIDISCIPLINARY SCIENCES
Komal Agrawal, R. Negi, V. C. Pal, Nehal Srivastava
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引用次数: 1

摘要

在这个数字时代,每一个智能仪器的基础都是离散信号模型,例如网络控制系统、网络物理系统等。研究表明,在工程系统的数字化实施过程中,时间延迟是不可避免的。因此,离散时滞系统的镇定问题越来越受到重视[1-10]。尽管长期以来已有大量文献利用适当非负Lyapunov泛函的构造来研究时滞系统的镇定问题。回顾已有的关于该问题的一些结果,基于lmi的稳定性条件是通过其正向差分在方向上负定来获得保守性较小的结果[15-25]。为了寻求更少保守的稳定性判据,本文引入了一种附加Wirtinger不等式、互反凸方法和利用Lyapunov Krasovskii泛函对离散时滞系统进行延迟划分的反卷解方案。为了完成这项任务,可以利用延迟分区技术为所考虑的系统开发改进的稳定性条件。采用基于wirtinger的不等式和倒凸方法推导出保守性较低的结果。在此基础上,提出了一种新的基于线性矩阵不等式的稳定性判据。所考虑的Lyapunov-Krasovskii泛函包含中间延迟信息,以隐式地承认延迟信息,从而保证所考虑的系统在线性矩阵不等式方面是正则的、无脉冲的和稳定的。吸引盆地的估计是为了保证状态保持在某个Lyapunov函数的水平集中。数值仿真结果表明,该方法较已有结果降低了保守性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Delay partitioning approach to the delay-dependent stability of discrete-time systems with anti-windup
ABSTRACT In this digital era, the basis of every smart instrument is discrete signal models e.g. in Networked control systems, Cyber physical systems etc. It has been shown that time-delays are unavoidable during the digital implementation of an engineering system. Therefore, the stabilization of discrete time delayed systems is gaining the high importance [1–10]. Although a lot of literature is found on the stabilization of time delayed systems for a long time using the construction of proper non-negative Lyapunov functional. Recalling some existing results on this issue, the LMI-based stability conditions are obtained by its forward difference negative-definite in direction to claim the less conservative results [15–25]. In order to seek less conservative stability criteria, this paper introduces an anti-windup scheme appended with Wirtinger inequality, reciprocal convex approach and delay partitioning of a discrete-time delayed systems by using Lyapunov Krasovskii functional. To accomplish this task, delay partitioning technique may be utilized to develop improved stability conditions for the considered system. The Wirtinger-based inequality and reciprocal convex approach has been employed to derive less conservative results. On employing the delay partitioning, a novel linear matrix inequality-based criterion is proposed to stabilize such systems. The considered Lyapunov-Krasovskii functional includes the information of intermediate delay to acknowledge the delay information implicitly that ensures the considered system to be regular, impulse free and stable in terms of linear matrix inequalities. The estimation of the attraction basin is to ensure that the state remains inside the level set of a certain Lyapunov function. Numerical simulation verifies that the presented method reduces conservatism than the existing results.
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来源期刊
Smart Science
Smart Science Engineering-Engineering (all)
CiteScore
4.70
自引率
4.30%
发文量
21
期刊介绍: Smart Science (ISSN 2308-0477) is an international, peer-reviewed journal that publishes significant original scientific researches, and reviews and analyses of current research and science policy. We welcome submissions of high quality papers from all fields of science and from any source. Articles of an interdisciplinary nature are particularly welcomed. Smart Science aims to be among the top multidisciplinary journals covering a broad spectrum of smart topics in the fields of materials science, chemistry, physics, engineering, medicine, and biology. Smart Science is currently focusing on the topics of Smart Manufacturing (CPS, IoT and AI) for Industry 4.0, Smart Energy and Smart Chemistry and Materials. Other specific research areas covered by the journal include, but are not limited to: 1. Smart Science in the Future 2. Smart Manufacturing: -Cyber-Physical System (CPS) -Internet of Things (IoT) and Internet of Brain (IoB) -Artificial Intelligence -Smart Computing -Smart Design/Machine -Smart Sensing -Smart Information and Networks 3. Smart Energy and Thermal/Fluidic Science 4. Smart Chemistry and Materials
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