| 不确定时变时滞切换系统的鲁棒H_∞控制 |
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| 引用本文： | 李纹,包俊东.不确定时变时滞切换系统的鲁棒H_∞控制[J].高师理科学刊,2010,30(2):17-22. |
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| 作者姓名： | 李纹 包俊东 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
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| 基金项目： | 内蒙古自然科学基金资助项目(200711020104) |
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| 摘 要： | 针对一类参数不确定时变时滞线性切换系统,研究了鲁棒H∞控制器的设计问题.首先利用积分不等式和引入自由权矩阵的方法,得到了系统稳定及控制器存在的一个充分条件.此条件依赖时滞大小但不要求时滞函数的导数信息.然后将其转化为线性矩阵不等式(LMI)表示,最后给出了算例说明该方法的有效性和可行性.
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| 关 键 词： | 切换系统 鲁棒H∞控制 时滞依赖 线性矩阵不等式 |
Robust H∞ control for uncertain time-varying delay switched systems |
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| LI Wen,BAO Jun-dong.Robust H∞ control for uncertain time-varying delay switched systems[J].Journal of Science of Teachers＇College and University,2010,30(2):17-22. |
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| Authors: | LI Wen BAO Jun-dong |
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| Institution: | School of Mathematics Science;Inner Mongolia Normal University;Huhhot 010022;China |
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| Abstract: | To uncertain time-varying linear switched systems, the problem of robust H∞ controller design is studied. A sufficient condition of existence of controller was obtained by using integral inequality and free-weigthing matrix method. The sufficient condition depends on size of delay and requires no information about the derivate of time-delay. Based on the linear matrix inequality （ LMI ） approach, the sufficient condition could be transformed to a LMI. An example was given to show the validity and feasibility of the approach. |
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| Keywords: | switched systems robust H∞ control delay dependent linear matrix inequality |
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