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线性时滞系统故障检测滤波器设计H_∞优化方法
H_∞ Approach to Fault Detection Filter for Linear Time-delay Systems
【摘要】 研究一类线性时滞系统的基于观测器的故障检测滤波器设计问题.通过对线性时滞系统进行广义坐标变换,得到了只包含输入、输出时滞,无状态时滞的新的系统表达形式.在此基础上,选用基于观测器的故障检测滤波器作为残差产生系统,使得到的残差动态方程为仅包含未知输入时滞和故障时滞的线性时不变形式,进而可应用已取得的线性时不变系统故障诊断研究成果设计故障检测滤波器.同时给出一种线性时滞系统故障检测滤波器设计的H∞优化设计方法,并通过算例验证了所提方法的有效性.
【Abstract】 Observer-based fault detection filter problem for a class of linear time-delay systems is studied.The key of this study is the introduction of a generalized coordinate change such that in the new coordinates all the time-delay terms are injected by the system input and output.Based on the new obtained system expression,an observer-based fault detection filter(FDF) is considered as the residual generator,while the dynamics of the residual is changed into a general linear time invariant form with unknown input and fault time-delay terms.The FDF problem can be solved by applying approaches to general LTI systems.An H_∞ approach is developed and a numerical example is given to illustrate the effectiveness of the proposed method.
【Key words】 Fault detection; Filter; Generalized coordinate transformation; Time-delay systems; H_∞ optimization;
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2006年05期
- 【分类号】TN713
- 【被引频次】16
- 【下载频次】256