A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC
Generalized Predictive Control, GPC for short, provides an effective means for the control of scalar systems. This paper explores the properties of the inverse transforms of X, Y and Σ, which depend on the branch point locations of the Hermitian form of G, and subsequently proposes suitable algorith...
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| Format: | Conference item |
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1991
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| _version_ | 1797080583438860288 |
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| author | Kouvaritakis, B Rossiter, J Chang, A Engineers, I |
| author_facet | Kouvaritakis, B Rossiter, J Chang, A Engineers, I |
| author_sort | Kouvaritakis, B |
| collection | OXFORD |
| description | Generalized Predictive Control, GPC for short, provides an effective means for the control of scalar systems. This paper explores the properties of the inverse transforms of X, Y and Σ, which depend on the branch point locations of the Hermitian form of G, and subsequently proposes suitable algorithms for the computation of appropriate Laurent series expansions for each of the three matrices. The paper also considers the problem of scaling with the view to minimizing the length of the corresponding weighting sequences. More importantly, it is shown that these sequences are bi-causal and scaling can be used to minimize the anti-causal component. |
| first_indexed | 2024-03-07T01:02:11Z |
| format | Conference item |
| id | oxford-uuid:8a19a574-7ac7-476f-9593-fffd6c69ec07 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:02:11Z |
| publishDate | 1991 |
| record_format | dspace |
| spelling | oxford-uuid:8a19a574-7ac7-476f-9593-fffd6c69ec072022-03-26T22:29:07ZA SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPCConference itemhttp://purl.org/coar/resource_type/c_5794uuid:8a19a574-7ac7-476f-9593-fffd6c69ec07Symplectic Elements at Oxford1991Kouvaritakis, BRossiter, JChang, AEngineers, IGeneralized Predictive Control, GPC for short, provides an effective means for the control of scalar systems. This paper explores the properties of the inverse transforms of X, Y and Σ, which depend on the branch point locations of the Hermitian form of G, and subsequently proposes suitable algorithms for the computation of appropriate Laurent series expansions for each of the three matrices. The paper also considers the problem of scaling with the view to minimizing the length of the corresponding weighting sequences. More importantly, it is shown that these sequences are bi-causal and scaling can be used to minimize the anti-causal component. |
| spellingShingle | Kouvaritakis, B Rossiter, J Chang, A Engineers, I A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title | A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title_full | A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title_fullStr | A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title_full_unstemmed | A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title_short | A SINGULAR VALUE DECOMPOSITION APPROACH TO MULTIVARIABLE GPC |
| title_sort | singular value decomposition approach to multivariable gpc |
| work_keys_str_mv | AT kouvaritakisb asingularvaluedecompositionapproachtomultivariablegpc AT rossiterj asingularvaluedecompositionapproachtomultivariablegpc AT changa asingularvaluedecompositionapproachtomultivariablegpc AT engineersi asingularvaluedecompositionapproachtomultivariablegpc AT kouvaritakisb singularvaluedecompositionapproachtomultivariablegpc AT rossiterj singularvaluedecompositionapproachtomultivariablegpc AT changa singularvaluedecompositionapproachtomultivariablegpc AT engineersi singularvaluedecompositionapproachtomultivariablegpc |