| 引用本文: | 马树萍, 程兆林.一类不确定离散奇异系统的鲁棒稳定化[J].控制理论与应用,2004,21(5):765~769.[点击复制] |
| MA Shu-ping, CHENG Zhao-lin.Robust stabilization for a class of discrete-time singular systems with uncertainties[J].Control Theory and Technology,2004,21(5):765~769.[点击复制] |
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| 一类不确定离散奇异系统的鲁棒稳定化 |
| Robust stabilization for a class of discrete-time singular systems with uncertainties |
| 摘要点击 1770 全文点击 955 投稿时间：2002-03-25 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.5.019 |
| 2004,21(5):765-769 |
| 中文关键词 离散奇异系统 鲁棒稳定化 状态反馈 线性矩阵不等式 |
| 英文关键词 discrete-time singular system robust stabilization state feedback linear matrix inequality |
| 基金项目 山东大学青年基金项目(11140053187004). |
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| 中文摘要 |
| 讨论了离散奇异系统矩阵E中含时不变参数不确定的鲁棒状态反馈稳定化问题.首先,在一系列等价变换下,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;然后,利用线性矩阵不等式(LMI)方法,给出了鲁棒状态反馈稳定化控制器存在的一个充分必要条件,控制器的设计方法及控制器的一个解;最后,通过一个数值算例验证了本设计方法的有效性. |
| 英文摘要 |
| The robust stabilization via state feedback for discrete-time singular systems with norm-bounded time-invariant parameter uncertainties in the matrix E is discussed.In a series of equivalent transformation,the equivalence between the stabilization under discussion and the robust stabilization via state feedback for uncertain standard state-space discrete-time linear systems was obtained.In terms of linear matrix inequality(LMI),a necessary and sufficient condition where there exists a robust state feedback stabilizing controller was (given).The design method of the controller and a solution of the controller were also given.The effectiveness of the proposed method was illustrated through an example. |