Fault detection and process monitoring using principal-component analysis (PCA) and partial least squares were studied intensively and applied to industrial processes. The fundamental issues of detectability, reconstructability, and isolatability for multidimensional faults are studied. PCA is used to define an orthogonal partition of the measurement space into two orthogonal subspaces, a principal-component
IntroductionProcess equipment deteriorates with time and use, and requires frequent maintenance. In some processes, equipment degradation affects the quality and yield. However, in other cases, the plant production is not affected by the equipment degradation until a major failure occurs. This type of drastic failure of process equipment is usually very costly because the production would be interrupted for a period of time, and other equipment or product stocks could be affected by such a failure. For this reason, in general, it is important to detect sensor faults as well as process faults that indicate significant deterioration of equipment.Process disturbances are another source of operational problems in a plant (Ku et al., 1995). Because not all the variables that affect the process are under the control of the plant operations, the changes in one of these variables may take the process operation out of its optimum. Moreover, severe process interaction increases the possibility that a control action, which tends to correct a disturbance in a particular process unit, will affect other units of the plant. This interaction also shows the necessity of monitoring the process in an integrated manner to avoid incorrect fault diagnostics. Therefore, for appropriate monitoring of a process, multipleCorrespondence concerning this article should be addressed to S. J. Qin.sensors located at different places in the plant should be considered to detect a process fault.The detection of changes in the process operation of a plant requires a monitoring technique that quantitatively represents the major relations among the process variables. Violation of such relations would indicate a potential malfunction in the plant. Principal-component analysis (PCA) (Jackson, 1980;Wold et al., 1987) is a reliable and simple technique for capturing variable correlation. Several articles have recently illustrated the use of PCA in process monitoring and statistical process control (Kresta et al., 1991; De Veaw, et al., 1995), fault diagnosis Raich and Cinar, 1994), and sensor validation (Tong and Crowe, 1995; Dunia et al., 1996a,b,c). The applications vary from batch processes to continuous processes (Dunia and Qin, 1998). Miller et al. (1993) proposed a contribution plot approach based on PCA models to help identify variables strongly affected by the underlying fault.Even though many authors have reported the success of using PCA for process monitoring, there are some fundamental issues related to statistical process monitoring that have not been developed in the PCA framework. For example, based on the confidence region used...