期刊文献+

改进的凸多面体不确定离散线性系统的鲁棒稳定条件 被引量:2

Improved Robust Stability Conditions for Discrete-time Linear Systems with Convex Polytopic Uncertainties
下载PDF
导出
摘要 通过引入附加的松弛矩阵变量及利用Frobennius-Perron定理,给出了改进的凸多面体不确定离散线性系统的鲁棒稳定条件. By introducing additional slack matrix variable,and applying Frobennius-Perron theorem,improved robust stability conditions of discrete-time linear systems with convex polytopic uncertainties are given.
出处 《哈尔滨理工大学学报》 CAS 北大核心 2010年第2期99-101,共3页 Journal of Harbin University of Science and Technology
基金 国家自然科学基金资助项目(10771047) 黑龙江省教育厅海外学人项目(1152hq09)
关键词 离散系统 凸多面体不确定性 参数依赖LYAPUNOV函数 鲁棒稳定 线性矩阵不等式 discrete-time systems convex polytopic uncertainty parameter-dependent Lyapunov function robust stability linear matrix inequality(LMI)
  • 相关文献

参考文献3

二级参考文献16

  • 1冯文丽,李胜家.非线性摄动时滞系统时滞变化率最大化鲁棒控制[J].山西大学学报(自然科学版),2005,28(1):8-10. 被引量:2
  • 2XU S J,DAROUACH M.On the Robustness of Linear Systems with Nonlinear Uncertain Parameters[J].Automatica,1998,34(8):1005-1008.
  • 3HUANG Sunan,REN Wei.New Results on the Robust Bounds of Linear Uncertain Systems[J].Int.J.Systems.Science,1997.28(2):141-44.
  • 4Chien-Hua Lee Tzuu-Hseng S.Li and Fan-Chu Kung.New Results for the Stability of Unertain time-delay Systems[J] Int.J.systems.Sci.1995,26(4):999-1004.
  • 5CHERES E,PALMOR J,GUTMAN S.Quantitative Measures of Robustness for Systems Including Delayed Perturbations[J].IEEE Trans.Automat.Control,1989,34(11):1 203-1 204.
  • 6HMAMED A.Further Results on the Robust Stability of Uncertain Time-delay Systems.Int.J.Systems Sci.,1991,22(3):605-614.
  • 7WANG Shuenn-shyang,CHEN Bor-sen,TENG Pin-lin.Robust Stability of Uncertain Time-delay Systems[J].Int.J.Conurol,1987,46(3):963-97.
  • 8SUN Yeong-Jeu Sun,HSIEH Jer-Guang and YANG Horng-Chin.On the Stability of Uncertain Systems with Multiple Time-Varying Delays[J].IEEE Trans.Automat.Control,1997.42(1):101-105.
  • 9曹登庆.不确定变时滞线性系统的镇定亲件[J].控制理论与应用,1997,14(1):85-89. 被引量:9
  • 10黎明.具有参数扰动时滞系统的鲁棒镇定性[J].控制理论与应用,1998,15(6):969-971. 被引量:4

共引文献6

同被引文献16

  • 1张彦虎,颜文俊,赵光宙.线性离散时滞系统的Gl_2状态反馈控制[J].控制与决策,2007,22(4):436-439. 被引量:3
  • 2LEITE V J S,PERES P L D.An Improved LMI Condition for the Robust D-stability of Uncertain Polytopic Systems[J].IEEE Transactions on Automatic Control,2003,48(3):500-504.
  • 3PERES P L D,GEROMEL J C,SOUZA S R.OptimalH∞State Feedback Control for Continuous-time Linear Systems[J].Journal of Optimization Theory and Applications,1994,82(2):343-359.
  • 4PALHARES R M,TAKAHASHI R H C,PERES P L D.H∞/H2 Guaranteed Costs Computation for Uncertain Linear Systems[J].International Journal of Systems Science,1997,28(2):183-188.
  • 5ARZELIER D,HENRION D,PEAUCELLE D.Robust D-stabilization of a Polytope of Matrices[J].International Journal of Control,2002,37:461-468.
  • 6GOODWIN G C,MIDDLENTON R H. R opprochement between continuous and discrete model reference adoptive control[J].Automotica,1986,(06):199-207.
  • 7苏宏业;褚健.不确定时滞系统的鲁棒控制理论[M]{H}北京:科学出版社,2007.
  • 8刘宏亮,樊丽颖,段广仁.线性时滞系统的鲁棒广义H2弹性控制[J].电机与控制学报,2008,12(2):213-217. 被引量:4
  • 9钱伟,沈国江,孙优贤.基于LMI的线性时滞系统输出动态反馈镇定[J].控制与决策,2008,23(5):546-550. 被引量:6
  • 10毛影岩,任雪芳,余晃晶.动态知识表达系统的鲁棒性[J].三明学院学报,2008,25(4):379-381. 被引量:1

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部