| 引用本文: | 王远钢, 郭 治.反馈控制系统多性能约束指标的相容性[J].控制理论与应用,2003,20(3):423~426.[点击复制] |
| WANG Yuan-gang, GUO Zhi.Consistency of multiple performance indices of feedback control systems[J].Control Theory and Technology,2003,20(3):423~426.[点击复制] |
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| 反馈控制系统多性能约束指标的相容性 |
| Consistency of multiple performance indices of feedback control systems |
| 摘要点击 1166 全文点击 1145 投稿时间：2000-09-11 修订日期：2003-02-13 |
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| DOI编号 10.7641/ |
| 2003,20(3):423-426 |
| 中文关键词 区域极点 方差上界 H∞抑制界 指标相容性 LMI方法 满意反馈 |
| 英文关键词 pole assignmnt variance upper-bound H-infinity rejection index consistency of indices LMI approach satisfactory feedback |
| 基金项目 国家创新研究群体科学基金(60024301); 国家自然科学基金(60175006). |
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| 中文摘要 |
| 对一类线性随机系统的状态反馈控制, 研究极点配置指标、被控输出对范数有界外扰的H∞抑制指标及稳态状态方差上界指标的相容性, 希望为实际控制系统多性能指标的选定提供理论依据, 用线性矩阵不等式(LMI)方法分别刻画了极点指标约束下H∞指标的取值范围、以及相容极点指标和H∞指标约束下稳态方差上界指标的取值范围, 对上述三类相容指标约束的控制问题给出求取满意控制策略的有效方法. 文中结论用数值算例作了说明. |
| 英文摘要 |
| Consistency of performance indices is studied for a class of linear stochastic systems via state feedback control. These constraints consist of pole assignment index, H-infinity rejection index from norm-bounded exogenous disturbance to the controlled output and upper bound on steady state variance. The study aims to provide a theoretical basis for the choice of desired multi-performance indices on some practical control systems. Based on linear matrix inequality (LMI) approach, the region of H-infinity index which is consistent to the given pole index, and a good region of upper state-variance index which is consistent to the given consistent pole and H-infinity index are presented respectively. Furthermore, a method to find a satisfactory control strategy is provided for the considered systems under the above three consistent constraints. Finally, the results concerned is illustrated by a numerical example. |