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广义马氏跳变系统在一般转移速率下的控制器设计

DOI: 10.16383/j.aas.2015.c140370, PP. 215-220

Keywords: 广义马氏跳变系统,不确定切换率,转移概率部分未知,线性矩阵不等式

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Abstract:

?针对转移概率不能精确获得并且部分未知的广义马氏跳变系统,分别讨论在模态依赖控制器和模态独立控制器条件下的系统镇定问题.与现有结果相比,所提研究方法具有较小的保守性,能够有效地解决实际问题.首先,运用自由权矩阵方法,得到了广义马氏跳变系统在转移速率满足上述一般条件时系统随机容许的充分条件.在此基础上,以线性矩阵不等式(Linearmatrixinequality,LMI)的形式分别给出了模态依赖和模态独立控制器的求解条件.最后,通过数值算例验证设计方法的有效性和优越性.

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