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基于LMI方法的线性不确定时滞系统鲁棒镇定

张友刚 罗志勇

张友刚, 罗志勇. 基于LMI方法的线性不确定时滞系统鲁棒镇定[J]. 西南交通大学学报, 2009, 22(5): 682-687.
引用本文: 张友刚, 罗志勇. 基于LMI方法的线性不确定时滞系统鲁棒镇定[J]. 西南交通大学学报, 2009, 22(5): 682-687.
ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.
Citation: ZHANG Yougang, LUO Zhiyong. LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay[J]. Journal of Southwest Jiaotong University, 2009, 22(5): 682-687.

基于LMI方法的线性不确定时滞系统鲁棒镇定

基金项目: 

中国博士后科学基金资助项目(20060390735)

重庆市自然科学基金资助项目(CSTC2007BB2447,KJ080514)

详细信息
    作者简介:

    张友刚(1974- ),男,副教授,博士,主要从事鲁棒控制、大系统理论、时滞系统分析与控制方面的研究,电话:13438073707,E-mail:zhangyougang1@163.com

LMI-Based Robust Stabilization of Linear Uncertain Systems with Input Time-Delay

  • 摘要: 考虑同时具有状态时滞和输入时滞的参数不确定线性时滞系统的鲁棒镇定问题,其参数不确定性满足范数有界条件,而状态时滞和输入时滞均为时变有界形式.鲁棒镇定控制器采用无记忆状态反馈形式,用线性矩阵不等式(LMI)方法,给出了在该控制器作用下闭环系统鲁棒指数稳定的LMI形式的充分条件.所给出的判据不要求时滞导数小于1,降低了以往文献中稳定性条件的保守性,既适合于快时变时滞系统,也适合于慢时变时滞系统.最后,通过数值算例验证了所给鲁棒稳定性条件的有效性.

     

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出版历程
  • 收稿日期:  2008-01-12
  • 刊出日期:  2009-11-12

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