| 一种故障检测滤波器的多目标优化设计方法 |
| |
| 引用本文： | 彭 涛,桂卫华,D ing S X,谢 勇.一种故障检测滤波器的多目标优化设计方法[J].控制与决策,2005,20(7):773-777. |
| |
| 作者姓名： | 彭 涛 桂卫华 D ing S X 谢 勇 |
| |
| 作者单位： | 中南大学,信息科学与工程学院,长沙,410083;株洲工学院,电气工程系,湖南,株洲,412008;中南大学,信息科学与工程学院,长沙,410083;杜伊斯堡-埃森大学,自动控制和复杂系统研究,杜伊斯保,47048,德国;株洲工学院,电气工程系,湖南,株洲,412008 |
| |
| 基金项目： | 国家973计划项目(2002CB312200). |
| |
| 摘 要： | 提出一种基于观测器的故障检测滤波器的非凸多目标优化设计方法.针对线性时不变动态系统,构建一个由输出观测器和后滤波器组成的故障检测滤波器,将其残差动态特性描述为非凸的双线性矩阵不等式形式.利用双线性矩阵不等式中可完全平方非正定项的上界替代原非正定项,将双线性矩阵不等式转化为一组线性矩阵不等式,进而获得多目标优化问题的可解条件以及观测器增益与后滤波器矩阵的求解方法.仿真算例说明了算法的有效性.
|
| 关 键 词： | 基于观测器故障检测 后滤波器 多目标优化 双线性矩阵不等式 线性矩阵不等式 |
| 文章编号： | 1001-0920(2005)07-0773-05 |
| 修稿时间： | 2004年7月26日 |
Multi-objective Optimal Design Approach to Fault Detection Filters |
| |
| PENG Tao,GUI Wei-hua,DING S X,XIE Yong.Multi-objective Optimal Design Approach to Fault Detection Filters[J].Control and Decision,2005,20(7):773-777. |
| |
| Authors: | PENG Tao GUI Wei-hua DING S X XIE Yong |
| |
| Abstract: | A non-convex multi-objective optimal design approach to observer-based fault detection filters is proposed. A fault detection filter with an output observer and a post-filter is constructed for linear time invariant systems. The dynamics of generated residual is formulated as non-convex and in terms of bilinear matrix inequality (BMI). BMI terms can be translated into a serial of linear matrix inequalities (LMI) by applying the completing square into BMI to replace the non-positive terms by their upper bounds. The existence condition of multi-objective optimal problem and the solution of observer gain and post-filter matrix are also given and proved. The simulation results show the effectiveness of the proposed approach. |
| |
| Keywords: | Observer-based fault detection Post-filter Multi-objective optimization BMI LMI |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《控制与决策》浏览原始摘要信息 |
|
点击此处可从《控制与决策》下载全文 |
|
