微分矩阵中含不确定的离散奇异系统鲁棒稳定化(I)  

Robust Stabilization for Discrete-time Singular Systems with Uncertainties in the Derivative Matrix(Ⅰ)

作　　者：马树萍[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《山东大学学报（理学版）》2003年第2期23-28,共6页Journal of Shandong University(Natural Science)

摘　　要：讨论了离散奇异系统微分矩阵E中含时不变参数不确定的鲁棒状态反馈稳定化问题的一种特殊情形 ,在不要求系统正则的条件下 ,阐述了其和一个不确定正常线性离散系统的鲁棒状态反馈稳定化问题的等价关系 ;利用线性矩阵不等式 (LMI)方法 。An case of the robust stabilization via state feedbak for discrete time Singular systems with noum bounded time invariant parameter uncertainties in the derivative matrix E is discussed. Without the regularity of the systems, the equivalence between this problem and the robust stabilization via state feedback for uncertain standard state space discrete time linear systems is obtained. In terms of LMI, a necessary and suffcient condition that there exists a robust state feedback stabilizing controller and a family controllers are given.

关 键 词：离散奇异系统 鲁棒稳定化 状态反馈 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]