引用本文: | 舒伟仁, 张庆灵.区间离散广义系统状态反馈鲁棒H∞控制[J].控制理论与应用,2004,21(5):800~803.[点击复制] |
SHU Wei-ren, ZHANG Qing-ling.State feedback robust H-infinity control for interval discrete-time singular systems[J].Control Theory and Technology,2004,21(5):800~803.[点击复制] |
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区间离散广义系统状态反馈鲁棒H∞控制 |
State feedback robust H-infinity control for interval discrete-time singular systems |
摘要点击 1421 全文点击 937 投稿时间:2003-06-20 |
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DOI编号 10.7641/j.issn.1000-8152.2004.5.026 |
2004,21(5):800-803 |
中文关键词 区间矩阵 离散广义系统 状态反馈 鲁棒H∞控制 |
英文关键词 interval matrix discrete-time singular systems state feedback robust H-infinity control |
基金项目 辽宁省普通高校学科带头人基金资助项目(124210); 辽宁省科技基金资助项目(2001401041). |
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中文摘要 |
讨论了一类区间离散广义系统的状态反馈鲁棒H∞控制问题.在给出区间离散广义系统的等价描述之后,基于系统参数矩阵不等式,得到了问题可解的充分条件,并给出了状态反馈控制器显式表示.所得的控制器保证闭环系统正则,具有因果关系,稳定并且满足给定的H∞性能指标.数值例子说明了该方法的正确性. |
英文摘要 |
The problem of state feedback robust H∞ control for a class of interval discrete-time singular systems is discussed.Firstly,a kind of equivalent description of the interval discrete-time singular systems was given.Then a sufficient condition for the solvability of the problem and the explicit expression of state feedback robust H-infinity controller were obtained in terms of matrix inequalities.The designed controller guaranteed that the closed-loop systems was regular,causal,stable and (satisfying) a prescribed H-infinity norm bounded constraint.Finally,an example was given to demonstrate the effectiveness of the proposed method. |