一种基于鲁棒残差生成器的故障估计方法

A Fault Estimation Method Based on Robust Residual Generators

针对具有加性执行器或元部件故障的线性系统,在独立故障的个数大于独立测量个数的情况下,提出了一种基于鲁棒残差生成器的故障估计方法.该故障估计方法是基于鲁棒残差生成器实现的,不需要额外设计动态的故障估计器.故障估计的实现需要:设计编码集;基于编码集设计鲁棒残差生成器;利用编码集和鲁棒残差生成器的输出实现故障分离和故障的渐近估计.给出了本方法的适用的充分条件,并证明了故障估计误差的渐近收敛性.最后,针对具有加性执行器故障的线性系统,基于几何方法设计鲁棒残差生成器,并进行了故障检测、故障分离和故障估计的仿真.仿真结果验证了本故障估计方法的有效性.

This paper proposed a fault estimation method based on robust residual generators for a linear system. A system with additive actuator or component faults was considered in the case where the number of the independent faults was larger than that of the independent measurements. This method was achieved based on robust residual generators and there was no need to design extra fault estimators. In this method, fault estimation was achieved via three steps. First, coding sets, which describe the sensitivity relationship between faults and generators, are designed. Second, a bank of robust residual generators are designed ac- cording to the coding sets. Finally, fault estimation is achieved by using the result of fault isolation and the output of robust residual generators. A sufficient condition on the application of the method was given and the asymptotic convergence property of the estimation error by using the method was proved. Simulation results demonstrate the effectiveness of the method.