Abstract
We suggest in this article a dynamic reduced algorithm in order to enhance the monitoring abilities of nonlinear processes. Dynamic fault detection using data-driven methods is among the key technologies, which shows its ability to improve the performance of dynamic systems. Among the data-driven techniques, we find the kernel partial least squares (KPLS) which is presented as an interesting method for fault detection and monitoring in industrial systems. The dynamic reduced KPLS method is proposed for the fault detection procedure in order to use the advantages of the reduced KPLS models in online mode. Furthermore, the suggested method is developed to monitor the time-varying dynamic system and also update the model of reduced reference. The reduced model is used to minimize the computational cost and time and also to choose a reduced set of kernel functions. Indeed, the dynamic reduced KPLS allows adaptation of the reduced model, observation by observation, without the risk of losing or deleting important information. For each observation, the update of the model is available if and only if a further normal observation that contains new pertinent information is present. The general principle is to take only the normal and the important new observation in the feature space. Then the reduced set is built for the fault detection in the online phase based on a quadratic prediction error chart. Thereafter, the Tennessee Eastman process and air quality are used to precise the performances of the suggested methods. The simulation results of the dynamic reduced KPLS method are compared with the standard one.
Highlights
The requirements of the industrial world nowadays are to guarantee the health and safety of people and to maintain our healthy environment
The main contributions of this paper are as follows: (i)Firstly, we handle the fault detection (FD) problem by a reduced method which consists in selecting the significant components, with an optimized statistic version (ii) We use the dynamic dynamic reduced KPLS (DRKPLS) that aims to update the reduced model observation by observation, without the risk of losing or deleting important information about the monitored system (iii) We use only the observations rich in information, which improves the FD performances in the dynamic version (iv) e proposed dynamic method is evaluated by using a real dataset e remainder of this paper is presented as follows
To show the efficiency and performance of the proposed method, a comparative study of data-driven fault detection and monitoring methods was performed between (1) kernel partial least squares (PLS) (KPLS) method which is the basic method of our work, (2) reduced KPLS (RKPLS) which is the reduced method in the static mode, (3) MWRRKPCA which is the dynamic method using the moving window, (4) online reduced rank KPLCA (ORRKPCA) which is the online method based on the RRKPCA model, and (5) MW-RKPLS which is the dynamic method using the moving window based on the RKPLS method
Summary
The requirements of the industrial world nowadays are to guarantee the health and safety of people and to maintain our healthy environment. (i)Firstly, we handle the FD problem by a reduced method which consists in selecting the significant components, with an optimized statistic version (ii) We use the dynamic DRKPLS that aims to update the reduced model observation by observation, without the risk of losing or deleting important information about the monitored system (iii) We use only the observations rich in information, which improves the FD performances in the dynamic version (iv) e proposed dynamic method is evaluated by using a real dataset e remainder of this paper is presented as follows.
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