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时滞依赖型中立系统的观测器设计与镇定
引用本文:张 友,翟 丁,刘 满,张嗣瀛. 时滞依赖型中立系统的观测器设计与镇定[J]. 控制理论与应用, 2005, 22(5): 783-789
作者姓名:张 友  翟 丁  刘 满  张嗣瀛
作者单位:东北大学,信息科学与工程学院,辽宁,沈阳,110004;东北大学,理学院数学系,辽宁,沈阳,110004;大连民族学院,应用数理系,辽宁,大连,116600
基金项目:中国博士后科学基金资助项目(2005037758),东北师范大学自然科学青年基金资助项目(20050104)
摘    要:研究了一类时滞依赖型线性中立系统的观测器的设计与镇定问题,首先建立了一个时滞依赖型稳定性准则,基于LMI正定解的存在性,给出确保误差动力系统渐近稳定的充分条件及经状态反馈而达到镇定的设计方案.最后通过数值仿真来说明本文所得结论的正确性和有效性.

关 键 词:中立时滞系统  线性矩阵不等式  观测器  镇定性
文章编号:1000-8152(2005)05-0783-07
收稿时间:2003-08-14
修稿时间:2003-08-142004-11-25

Delay-dependent observer design and observer-based stabilization of linear neutral delay system
ZHANG You,ZHAI Ding,LIU Man,ZHANG Si-ying. Delay-dependent observer design and observer-based stabilization of linear neutral delay system[J]. Control Theory & Applications, 2005, 22(5): 783-789
Authors:ZHANG You  ZHAI Ding  LIU Man  ZHANG Si-ying
Affiliation:School of Information Science and Engineering,Northeastern University,Shenyang Liaoning 110004,China; College of Science,Northeastern University,Shenyang Liaoning 110004,China; Departmant of Mathematics,Dalian Nationalities University,Dalian Liaoning 1166
Abstract:The delay-dependent stability criterion,the state observers design and observer-based stabilization are dealt with for linear neutral delay systems.Firstly,a delay-dependent stability criterion is developed based on a method of linear matrix inequality(LMI).Secondly,an LMI-based observer design for the error dynamics is presented.Thirdly,the observer-based stabilization problem of the neutral delay systems is solved by means of the solvability of two LMIs.Finally,two numerical examples are used to demonstrate the validity and effectiveness of the proposed approaches.
Keywords:neutral delay systems  linear matrix-inequality  observer  stability  
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