节点文献
比例积分输出反馈网络控制系统的建模和分析
Modeling and Analysis of Networked Control System with Proportional-Integral Output Feedback
【作者】 高婷婷;
【导师】 张庆灵;
【作者基本信息】 东北大学 , 运筹学与控制论, 2008, 硕士
【摘要】 随着网络技术的发展,越来越多的网络(例如Internet网)被应用到分布控制系统,组成网络控制系统(NCS)。这种控制系统结构具有方便维护,操作灵活,成本低等优点。尽管网络使得控制大规模分布系统十分方便,也带来了一些不便之处,例如网络时延、数据包丢失和多包传递等。本文在综述国内外各种文献的基础上,主要研究了比例积分输出反馈网络控制系统的H∞保成本控制问题和多包传输网络控制系统的控制器设计问题。首先,本文主要介绍了网络控制系统的研究背景、特点和基本组成,描述了网络控制系统的研究现状以及比例积分微分控制和保成本控制的研究背景等。其次,研究了网络控制系统在比例积分输出反馈控制器下的H∞保成本控制问题。针对传感器与控制器,控制器与执行器之间均存在网络的网络控制系统和二次型成本函数,利用李亚普诺夫稳定性理论和线性矩阵不等式原理,得到了不仅使闭环系统稳定,而且使成本函数不超过某个确定上界的H∞保成本控制存在的条件,还进一步给出了H∞保成本控制的设计方法,最后举例说明方法的可行性。随后,本文又研究了多包传输网络控制系统在比例积分输出反馈控制器下的控制器设计问题。提出了一种短时延多包传输网络控制系统的建模方法,把多包传输的网络控制系统建模为切换系统,利用切换系统和鲁棒稳定性理论,给出了该系统渐近稳定的判据和控制器的设计方法,最后通过数值算例证明了结论的可行性和有效性。紧接着给出了比例积分微分输出反馈控制下,网络控制系统分别在短时延和长时延两种情况下的模型建立。最后对本文的工作进行了总结,并对下一步的研究工作进行了分析和展望。
【Abstract】 With the development of network technology, more and more networks (e.g. the Internet) have been applied to the distributed control system, which is termed networked control system (NCS). This architecture promotes ease of maintenance, greater flexibility and low cost. Although the networks make it convenient to control the large distributed system, there are many control issues that occur in the conventional control systems, such as network time-delay, data packet dropout, multi-packet transmission and so on.In this paper, by studying the Chinese and English journals and papers, we do research on the H∞guaranteed cost control of NCS and controller design of multi-packet NCS under Proportional-Integral (PI) output feedback controller.Firstly, the background, composition and features of NCS are introduced. The background of the Proportional-Integral-Derived (PID) control and guaranteed cost control are also discussed.Secondly, the problem of H∞guaranteed cost control of NCS with PI output feedback controller is studied. Aimed at NCS with networks existing both between sensor and controller and between controller and actuator and a quadratic cost function, it can obtain the condition of the existence of the H∞guaranteed cost control by using Lyapunov stability theory and Linear Matrix Inequality (LMI), which can not only make a closed loop system stable, but also assure that its cost is not over a certain determinable upper bound. Furthermore, the designing method of the H∞guaranteed cost controller is also presented. Finally, an example is given to illustrate the feasibility of the problem.Thirdly, the controller design of multi-packet NCS with PI output feedback controller is studied. A modeling method for such NCS with short time-delay is presented. This NCS is modeled as linear switched control system under certain switching sequences. With the switched control system theory and robust stability theory, the sufficient conditions of the asymptotic stability of NCS with multi-packet transmission are obtained. A numerical example demonstrates the conclusions are feasible and effective.Fourthly, NCS under PID output feedback controller with short time-delay and long time-delay are modeled, respectively.At last, the main work of this thesis and the future development of NCS are discussed.
【Key words】 NCS; PI output feedback; LMI; H_∞guaranteed cost control; multi-packet transmission; switched system; PID output feedback;