Fault reconstruction in linear dynamic systems using multivariate statistics

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Fault reconstruction in linear dynamic systems using multivariate statistics

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Treasure et al. (2004) recently proposed a new subspace-monitoring technique, based on the N4SID algorithm, within the multivariate statistical process control framework. This dynamic‐monitoring method requires considerably fewer variables to be analysed when compared with dynamic principal component analysis (PCA). The contribution charts and variable reconstruction, traditionally employed for static PCA, are analysed in a dynamic context. The contribution charts and variable reconstruction may be affected by the ratio of the number of retained components to the total number of analysed variables. Particular problems arise if this ratio is large and a new reconstruction chart is introduced to overcome these. The utility of such a dynamic contribution chart and variable reconstruction is shown in a simulation and by application to industrial data from a distillation unit.

Inspec keywords: time-varying systems; fault location; distillation; linear systems; statistical process control; process monitoring

Other keywords: fault detection; subspace monitoring; fault reconstruction; linear dynamic system; multivariate statistical process control; distillation unit

Subjects: Inspection and quality control; Control in industrial production systems; Chemical industry; Control applications in chemical and oil refining industries; Maintenance and reliability; Control technology and theory (production); Time-varying control systems; Industrial processes

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