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不确定广义线性时变系统的鲁棒稳定和二次稳定

DOI: 10.13195/j.kzyjc.2014.0311, PP. 929-933

Keywords: 广义线性时变系统,鲁棒稳定,矩阵不等式,二次稳定

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Abstract:

针对不确定广义线性时变系统,采用矩阵不等式的分析方法,提出不确定广义线性时变系统鲁棒稳定和二次稳定的概念.建立该类系统的矩阵不等式,将该类系统的鲁棒控制问题转化为求解矩阵不等式问题,得到该类系统鲁棒稳定和二次稳定的充分必要条件,并给出一种状态反馈鲁棒镇定控制器的设计方法.最后,通过数值算例表明了所提出方法的可行性.

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