Stability Analysis and Robust Control of Time-Delay Systems
Stability Analysis and Robust Control of Time-Delay Systems
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DOI：
10.1007/978-3-642-03037-6
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发表时间：
2010-06
期刊：
影响因子：
--
通讯作者：
Jinhua She;Yong He;Min Wu
中科院分区：
文献类型：
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作者：
Jinhua She;Yong He;Min Wu
当系统状态的变化率取决于过去的状态时，系统被称为具有延迟。这样的系统称为时滞系统。延迟在实际工程系统中经常出现。它们往往是不稳定和性能差的来源，并大大增加了稳定性分析和控制设计的难度。因此，时滞系统的鲁棒控制成为控制理论和工程领域的研究热点。在过去的20年里，对这类系统的研究一直非常活跃，并且不断出现新的发展，例如基于牛顿-莱布尼茨公式的固定模型变换和参数化模型变换。最近，我们提出了一种称为自由权矩阵（FWM）的方法，用于各类时滞系统的稳定性分析和控制综合，得到了一系列不那么保守的时滞相关稳定性判据和控制器设计方法。这本书主要是基于我们最近的研究。它集中于各种时滞系统的稳定性分析和鲁棒控制，包括稳定性分析，镇定，控制设计和滤波等主题。采用的主要方法是FWM方法。本文从理论上证明了该方法的有效性，并通过实例说明了其相对于现有方法的优越性。这本书将为读者提供在这个活跃的研究领域的最新进展的概述，并为他们提供研究时滞系统的最先进的方法。这本书是一个有用的参考控制理论家和数学家的工作与时间延迟系统，工程设计控制器的植物或系统的延迟，并为研究生感兴趣的鲁棒控制理论和/或其应用程序的时间延迟系统。感谢国家自然科学基金（60574014）、国家杰出青年科学基金、
A system is said to have a delay when the rate of variation in the system state depends on past states. Such a system is called a time-delay system. Delays appear frequently in real-world engineering systems. They are often a source of instability and poor performance, and greatly increase the difficulty of stability analysis and control design. So, many researchers in the field of control theory and engineering study the robust control of time-delay systems. The study of such systems has been very active for the last 20 years; and new developments, such as fixed model transformations based on the Newton-Leibnitz formula and parameterized model transformations, are continually appearing. Although these methods are a great improvement over previous ones, they still have their limitations.We recently devised a method called the free-weighting-matrix (FWM) approach for the stability analysis and control synthesis of various classes of time-delay systems; and we obtained a series of not so conservative delaydependent stability criteria and controller design methods. This book is based primarily on our recent research. It focuses on the stability analysis and robust control of various time-delay systems, and includes such topics as stability analysis, stabilization, control design, and filtering. The main method employed is the FWM approach. The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a state-ofthe-art method for studying time-delay systems. This book is a useful reference for control theorists and mathematicians working with time-delay systems, engineering designing controllers for plants or systems with delays, and for graduate students interested in robust control theory and/or its application to time-delay systems. We are grateful for the support of the National Natural Science Foundation of China (60574014), the National Science Fund for Distinguished Young