通信学报 ›› 2012, Vol. 33 ›› Issue (12): 116-122.doi: 10.3969/j.issn.1000-436x.2012.12.015

• 技术报告 • 上一篇    下一篇

多时滞Lurie网络控制系统动态输出反馈控制器设计

陈刚1,2,朱红求1,阳春华1,胡春华3   

  1. 1 中南大学 信息科学与工程学院，湖南 长沙 410083
    2 湖南工业大学 电气与信息工程学院，湖南 株洲 412008
    3 湖南商学院 计算机与信息学院，湖南 长沙 410205
  • 出版日期:2012-12-25 发布日期:2017-07-15
  • 基金资助:
    国家杰出青年科学基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;国家自然科学基金资助项目;湖南省自然科学基金资助项目;湖南省自然科学基金资助项目;湖南省教育厅基金资助项目;湖南工业大学自然科学基金资助项目

Design of dynamic output feedback controller for lurie networked control systems with multiple delays

Gang CHEN1,2,Hong-qiu ZHU1,Chun-hua YANG1,Chun-hua HU3   

  1. 1 School of Information Science and Engineering,Central South University,Changsha 410083,China
    2 School of Electrical and Information Engineering,H nan University of Technology,Zhuzhou 412008,China
    3 School of Computer and Information Engineering,Hunan University of Commerce,Changsha 410205,China
  • Online:2012-12-25 Published:2017-07-15
  • Supported by:
    The National Science Fund of China for Distinguished Y Scholars;The National Natural Science Foundation of China;The National Natural Science Foundation of China;The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Natural Science Foundation of Hunan Provience;The Natural Science Foundation of Hunan Provience;Hunan Provincial Department of Education;The Natural Science Project of Hunan University of Technology

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摘要：

摘 要：针对一类具有非理想网络状况，如时变网络时滞、分组丢失和乱序等问题的基于动态输出反馈控制器的网络控制系统，建立了多时滞Lurie网络控制系统模型，应用Lyapunov-Krasovskii泛函方法，保留Lyapunov-Krasovskii泛函导数中经常被忽略的有用项，提出了一种具有更低保守性的多时滞 Lurie 网络控制系统时滞相关稳定条件。并通过增加一等式约束将非线性矩阵不等式转化为线性矩阵不等式表示的可解性问题，给出了一种动态输出反馈控制器的设计方法。数值实例表明该设计方法具有更低的保守性。

关键词: Lurie系统, 网络控制系统, 动态输出反馈, 线性矩阵不等式

Abstract:

For a class of network control system based on dynamic output feedback controller with non-ideal network conditions,such as time-varying network-induced delay,data packet loss and out-of-order problems.The Lurie networked control system was modeled as a multiple delay Lurie system.By employing a Lyapunov-Krasovskii functional， some useful terms have been retained,which were used to be discarded in the derivative of Lyapunov-Krasovskii functional,an improved delay-dependent stability conditions for Lurie NCS was proposed.Furthermore,by adding an equation constraint,it was transformed into a solvability problem described by linear matrix inequality;the resulting condition was extended to design a dynamic output feedback control .Numerical examples are provided to show the results are less conservative.

Key words: dynamic output feedback, Lurie system, networked control systems, liner matrix inequality

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