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A new reduction-based LQ control for dynamic systems with a slowly time-varying delay

ISSN号：0567-7718
期刊名称：Acta Mechanica Sinica
时间：0
页码：529-537
语言：英文
分类：TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程] O175.1[理学—数学;理学—基础数学]
作者机构：[1]MOE Key Lab of Structure Mechanics and Control for Aircraft, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China
相关基金：The project was supported by the National Natural Science Foundation of China （10532050, 10702024 and 10702025） and the Doctoral Fund of MOE of China （20070287029）. The valuable suggestions of Dr. Huailei Wang should be greatly appreciated.
相关项目：时滞系统的动力学与控制

关键词：动力系统, 时变时滞, LQ控制, 时间延迟反馈控制, 输入时滞, 线性二次控制, 控制性能, 时滞系统, Time delay , Time-varying delay , State transformation , System reduction , Linear quadratic control

中文摘要：

在反馈控制的时间延期经常败坏控制性能或甚至原因一个动态系统的不稳定性。这篇论文基于转变与一个常数或慢慢地变化时间的输入延期为动态系统论述控制策略，它简化时间延期系统进没有延期的。第一，关系为二存在被讨论基于减小的线性二次的控制。一个人是连续的，其它是分离的。由扩大关系，新基于减小的控制然后被开发，一个数字算法为实际控制实现介绍了。建议方法建议的控制器有如此的一个有希望的性质，没有控制器的重新设计，它能被用于输入时间延期的不同价值的格。这个性质为与变化时间的输入延期稳定动态系统提供潜力。因而，到有慢慢地变化时间的延期的动态系统的建议方法的应用程序被讨论。最后，数字模拟被给显示出功效和方法的适用性。

英文摘要：

Time delays in the feedback control often dete- riorate the control performance or even cause the instability of a dynamic system. This paper presents a control strategy for the dynamic system with a constant or a slowly time-varying input delay based on a transformation, which sire-plifies the time-delay system the relation is discussed for into a delay-free one. Firstly, two existing reduction-based linear quadratic controls. One is continuous and the other is discrete. By extending the relation, a new reduction-based control is then developed with a numerical algorithm presented for practical control implementation. The controller suggested by the proposed method has such a promising property that it can be used for the cases of different values of an input time delay without redesign of controller. This property provides the potential for stabilizing the dynamic system with a time-varying input delay. Consequently, the application of the proposed method to the dynamic system with a slowly time-varying delay is discussed. Finally, numerical simulations are given to show the efficacy and the applicability of the method.

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