| 引用本文: | 苏子漪,俞立,宋洪波,张文安.连续时间系统多目标鲁棒滤波器设计[J].控制理论与应用,2010,27(6):804~808.[点击复制] |
| SU Zi-yi,YU Li,SONG Hong-bo,ZHANG Wen-an.Design of multi-objective robust filter for continuous time systems[J].Control Theory and Technology,2010,27(6):804~808.[点击复制] |
|
| 连续时间系统多目标鲁棒滤波器设计 |
| Design of multi-objective robust filter for continuous time systems |
| 摘要点击 1945 全文点击 1014 投稿时间：2009-02-23 修订日期：2009-08-20 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/j.issn.1000-8152.2010.6.CCTA090165 |
| 2010,27(6):804-808 |
| 中文关键词 不确定系统 广义H2/α稳定滤波 线性矩阵不等式 |
| 英文关键词 uncertain systems generalized H-two/α stability filtering linear matrix inequalities |
| 基金项目 国家杰出青年科学基金资助项目(60525304); 高等学校博士学科点专项科研基金资助项目(200803370002). |
|
| 中文摘要 |
| 针对存在凸多面体参数不确定性的连续时间系统, 提出了一种广义H2/α稳定的多目标鲁棒滤波器设计方法. 基于参数依赖Lyapunov函数方法和线性矩阵不等式技术得到滤波误差系统鲁棒α稳定且具有给定广义H2性能的充分必要条件, 并通过合适的变量替换给出了广义H2/α稳定滤波器的设计方法. 最后, 给出两个算例验证本文方法的有效性. |
| 英文摘要 |
| The generalized H-two/α-stability filtering is investigated for continuous-time systems with polytopic type parameter uncertainties. By using parameter-dependent Lyapunov function method and the linear matrix inequality approach,
we derive a necessary and sufficient condition for the filtering error system to be robustly α-stable and to achieve a prescribed generalized H-two performance. Generalized H-two/α-stability filters are designed under the above-mentioned condition and are developed by applying an appropriate variable transformation technique. Two numerical examples are given to demonstrate the effectiveness of the proposed method. |