引用本文: | 冯俊娥, 程兆林.不确定性奇异时滞系统的鲁棒H∞控制[J].控制理论与应用,2004,21(2):158~164.[点击复制] |
FENG Jun-e, CHENG Zhao-lin.Robust H-infinity control of uncertain singular systems with delay in state[J].Control Theory and Technology,2004,21(2):158~164.[点击复制] |
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不确定性奇异时滞系统的鲁棒H∞控制 |
Robust H-infinity control of uncertain singular systems with delay in state |
摘要点击 1588 全文点击 1060 投稿时间:2002-03-19 修订日期:2003-05-20 |
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DOI编号 10.7641/j.issn.1000-8152.2004.2.002 |
2004,21(2):158-164 |
中文关键词 奇异滞后系统 鲁棒H∞控制 LMI 参数不确定性 |
英文关键词 singular state-delayed systems robust H-infinity control LMI parameter uncertainty |
基金项目 国家重点基础研究发展规划项目(G1998020300); 教育部高教博士学科点专项科研基金项目(98042212); 山东省自然科学基金项目(Q99A07). |
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中文摘要 |
研究了含不确定性线性奇异滞后系统的鲁棒H∞控制问题.其中不确定性是范数有界的.为此首先给出了相应的无控制标称系统内稳定且满足H∞范数界的一个充分条件.然后讨论了含不确定性奇异滞后系统鲁棒H∞控制问题有解的一个充分条件,并同时给出了控制器的设计,控制器可由线性矩阵不等式解得.最后举例说明本文方法的正确性. |
英文摘要 |
This paper examines the problem of robust H-infinity control for linear singular state delayed systems with norm-bounded parameter uncertainty. First, one sufficient algebraic condition is given to guarantee the stability and H-infinity norm-boundness of the corresponding unforced nominal singular systems with delay in state. Then, the sufficient condition is obtained for the existence of robust H-infinity controller using the method of LMI. The controller can be solved by two LMIs. Finally, an illustrative example is presented. |