Steady-State Tracking Properties for the Generalized Minimum Variance Controller: A Review, Proportional-Integral-Derivative Tuning, and Applications

The generalized minimum variance (GMV) controller design to deal and eliminate offset can involve the selection of integral and weighting factors with respect to the controlled plant output. This introduces integral control action in a natural form and produces an implicit control design. The implem...

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Bibliographic Details
Published in:Industrial & engineering chemistry research 2014-01, Vol.53 (4), p.1470-1477
Main Authors: Coelho, Antonio A. R, Araújo, Rejane B, Silveira, Antonio S
Format: Article
Language:English
Subjects:
Integrals
Mathematical models
Nonlinearity
Proportional integral derivative
Tracking
Tuning
Variance
Weighting
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Summary:The generalized minimum variance (GMV) controller design to deal and eliminate offset can involve the selection of integral and weighting factors with respect to the controlled plant output. This introduces integral control action in a natural form and produces an implicit control design. The implementation of this idea has been explored in few nonlinear applications as well as in the GMV synthesis for the direct adaptive approach and also hybridized to tune a proportional-integral-derivative (PID) controller. The conventional way to ensure set point tracking and regulation is to use an integral control weighting or an incremental plant model. Besides these three linear GMV control designs, this paper brings numerical essays with nonlinear chemical plant models to show the efficiency, stability, and robustness to step set point changes and load disturbance rejection when moving the operating point of the plant around its nonlinear region.
ISSN:0888-5885
1520-5045
DOI:10.1021/ie400900q