故障检测及状态偏差估计的二级分解算法*

Fault Detection and Two-decomposition Algorithm for State-error Estimation

中文关键词  故障检测  故障诊断  可靠性  滤波理论  分解估计

英文关键词  Fault detection  Fault diagnosis  Reliability  Filtering theory  Decomposition estimation

中文摘要

      本文首先推导证明当参考模型和实际系统不吻合时，根据参考模型建立的Kalman滤波器所产生的估计残差将与模型的偏离程度成正比，据此给出故障检测方法；其次推导出状态偏差形式的系统方程；最后将B. Friedland提出的分离估计法推广到状态偏差估计中，并进一步提出状态偏差估计的二级分解算法。

英文摘要

      In this paper, it is shown that the residual process produced by Kalman’s filter which is based on the reference system is directly proportional to the mismatch degree of model, and a method of fault detection is presented. In addition, system equation in state error form is given. For simplifying estimation, the two-decomposition algorithm for state error estimation is also proposed. By various simulations, it is shown that using this method we not only can judge whether there are fault but also can effectively estimate the process state, state error, and fault variables in system.