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不确定时变时滞切换系统的鲁棒H_∞控制 被引量:4

Robust H_∞ control for uncertain time-varying delay switched systems
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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. 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.
作者 李纹 包俊东
出处 《高师理科学刊》 2010年第2期17-22,共6页 Journal of Science of Teachers'College and University
基金 内蒙古自然科学基金资助项目(200711020104)
关键词 切换系统 鲁棒H∞控制 时滞依赖 线性矩阵不等式 switched systems robust H∞ control delay dependent linear matrix inequality
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