MIMO control performance monitoring using left/right diagonal interactors |
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| Authors: | Jie Yu S Joe Qin |
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| Affiliation: | 1. Department of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712, USA;2. The Mork Family Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, CA 90089, USA;3. Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, USA;4. Daniel J. Epstein Department of Industrial and Systems Engineering, University of Southern California, Los Angeles, CA 90089, USA;1. Koc University, Istanbul, Turkey;2. Middle East Technical University, Ankara, Turkey;3. Carnegie Mellon University, Pittsburgh, PA, USA;4. University of Maryland |
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| Abstract: | Although the minimum variance control (MVC) benchmark is popular for control performance monitoring, the requirement of a general interactor for multivariable processes is equivalent to knowing the Markov parameters, which is inconvenient in practice. To reduce the model requirement of a general interactor, a right diagonal interactor matrix is first used for a class of MIMO processes. Then a solution to the MIMO MVC benchmark is developed using the right diagonal interactor. Next, both the left and right diagonal interactors are integrated to characterize the complex time-delay structure of an extended class of multivariate processes. The factorization of the combined left/right diagonal interactors and the corresponding MVC benchmark estimation are also presented. The advantages of the new approach lie in the reduced a priori process knowledge and the simplified numerical procedures. A number of simulated examples are provided to illustrate the validity and effectiveness of the proposed performance monitoring approach. |
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