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基于LMI的不确定时滞非线性系统鲁棒镇定研究
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国家自然科学基金(60974012)


Robust stabilization for uncertain nonlinear systems with delay based on linear matrix inequality
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    摘要:

    研究了一类不确定时滞非线性系统的鲁棒镇定问题.不确定参数是时变未知有界的,但不一定满足所谓的匹配条件.利用线性矩阵不等式,一些充分条件被获得,保证了相应闭环系统的鲁棒稳定性,并在此基础上得出了相应的状态反馈控制器.最后,通过一个数值例子说明了该方法的有效性.

    Abstract:

    This paper presents the stabilization of a class of uncertain nonlinear systems with delays.The uncertainty is bounded and may not satisfy the so-called matching conditions.Some sufficient conditions are derived to guarantee the resultant closed-loop system to be robustly stable.Those conditions are expressed as the solvability problem of linear matrix inequalities.Based on these criteria,the problem is solved via state feedback controller.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.

    参考文献
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    [9] Wu M,He Y,She J H,et al.Delay-dependent criteria for robust stability of time-varying delay systems[J].Automatica,2004,40(8):1435-1439
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    [13] 高会军,王常虹.不确定离散多时滞系统的时滞相关鲁棒镇定[J].自动化学报,2004,30(5):789-795 GAO HuiJun,WANG Changhong.Delay-dependent robust stabilization for uncertain discrete-time systems with multiple state delays[J].Acta Automatica Sinica,2004,30(5):789-795
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刘继清,黄金花.基于LMI的不确定时滞非线性系统鲁棒镇定研究[J].南京信息工程大学学报(自然科学版),2012,4(1):29-33
LIU Jiqing, HUANG Jinhua. Robust stabilization for uncertain nonlinear systems with delay based on linear matrix inequality[J]. Journal of Nanjing University of Information Science & Technology, 2012,4(1):29-33

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  • 收稿日期:2011-11-22

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