双椭圆相交法在传感器故障检测及诊断中的应用

研究线性控制系统中多个传感器同时发生故障的实时故障检测及诊断，以双椭圆相交法为基础构造一组双椭圆置信域，每个双椭圆置信域用来检测相应的传感器是否发生故障。双椭圆相交法可以用于多个传感器同时发生故障的线性控制系统，不仅能够快速、准确地检测出故障发生的时刻，并且能将故障定位到发生故障的传感器。同时提出一种置信度的选取方法，这种选取方法可以获得小的误报率。

The Application of Two-Ellipsoid Overlap Method to Sensor Fault Detection and Diagnosis

To realize real time fault detection and diagnosis when multi sensors have faults simultaneously in the linear control system, a set of two ellipsoid confidence regions was constructed based on two ellipsoid overlap method. Each two ellipsoid confidence region was used to detect the faults of the concerned sensor. Two ellipsoid overlap method can be applied to linear control systems where multi sensors have faults simultaneously. This method can give the time the faults occur quickly and accurately, and find the faulty sensors. A method of choosing the degree of confidence was studied which leads to a low degree of missing alarm.