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首页 > 过刊浏览>2017年第9卷第4期 >395-399. DOI:10.13878/j.cnki.jnuist.2017.04.006
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具有不确定参数的滞后型Lurie控制系统鲁棒绝对稳定性的LMI方法
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国家自然科学基金（61273200）


LMI approach for robust absolute stability of Lurie control systems with time-delay and uncertain parameters
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    摘要:

    分别针对具有结构参数和范数有界参数的滞后型Lurie控制系统的鲁棒绝对稳定性问题，利用Lyapunov方法给出了系统鲁棒绝对稳定的时滞无关条件及时滞相关条件.得到的结果用线性矩阵不等式（LMI）表示，易于利用MATLAB工具箱求得保守性较低的条件.

    Abstract:

    This paper deals with the problems of robust absolute stability for uncertain time-delay Lurie control systems with structured parameter perturbations and norm bound parameter perturbations respectively.Delay-dependent and delay-independent sufficient conditions for robust absolute stability of the systems are derived by using Lyapunov method.The results are presented in term of linear matrix inequality (LMI) to find the less conservative criteria,which can be easily solved by using Matlab toolbox.

    参考文献
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    [3] Liao X X,Yu P.Sufficient and necessary conditions for absolute stability of time-delayed Lurie control systems[J].Journal of Mathematical Analysis and Applications,2006,323(2):876-890
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    [5] Liu P L.Robust absolute stability criteria for uncertain Lurie interval time-varying delay systems of neutral type[J].ISA Transactions,2016,60:2-11
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徐炳吉.具有不确定参数的滞后型Lurie控制系统鲁棒绝对稳定性的LMI方法[J].南京信息工程大学学报(自然科学版),2017,9(4):395-399
XU Bingji. LMI approach for robust absolute stability of Lurie control systems with time-delay and uncertain parameters[J]. Journal of Nanjing University of Information Science & Technology, 2017,9(4):395-399

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  • 收稿日期:2017-05-10
  • 在线发布日期: 2017-07-11

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