在有未知骚乱的线性系统的柔韧的差错察觉的一条参量的途径被介绍。剩余用完整顺序的州的观察员(FSO ) 被产生。基于 Sylvester 矩阵方程的一种类型的一个分析答案,观察员获得矩阵的 parameterization 被给。以设计,自由的度由参量的观察员设计提供了;一组介绍参数向量,一足够;为有骚乱去耦的完整顺序的州的观察员设计的必要状况然后被建立。由适当地根据这个建议条件抑制设计参数,剩余信号上的骚乱的效果也是 decoupled,;一个简单算法被开发。介绍途径提供设计自由的所有度。最后,一个数字例子说明建议途径的效果。
A parametric approach to robust fault detection in linear systems with unknown disturbances is presented. The residual is generated using full-order state observers (FSO). Based on an analytical solution to a type of Sylvester matrix equations, the parameterization of the observer gain matrix is given. In terms of the design degrees of freedom provided by the parametric observer design and a group of introduced parameter vectors, a sufficient and necessary condition for fullorder state observer design with disturbance decoupling is then established. By properly constraining the design parameters according to this proposed condition, the effect of the disturbance on the residual signal is also decoupled, and a simple algorithm is developed. The presented approach offers all the degrees of design freedom. Finally, a numerical example illustrates the effect of the proposed approach.