GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS
A convenient means of extending generalised predictive control to the multivariable case is through the use of singular value decomposition. However, owing to the bicausal nature of this decomposition, special care has to be taken to ensure that the overall control law is causal; this can be achieve...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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1992
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| _version_ | 1826272045670858752 |
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| author | Kouvaritakis, B Rossiter, J Chang, A |
| author_facet | Kouvaritakis, B Rossiter, J Chang, A |
| author_sort | Kouvaritakis, B |
| collection | OXFORD |
| description | A convenient means of extending generalised predictive control to the multivariable case is through the use of singular value decomposition. However, owing to the bicausal nature of this decomposition, special care has to be taken to ensure that the overall control law is causal; this can be achieved by giving up some of the available degrees of freedom, but the results obtained in this way are suboptimal. It is the purpose of this paper to remove this difficulty. Owing to the complexity of the problem, consideration is given only to the scalar case for which the singular value decomposition reduces to a gain/phase decomposition; the proposed approach can be extended to the multivariable case but this is not undertaken here. The efficacy of the algorithm developed in this paper is demonstrated by means of a numerical example. |
| first_indexed | 2024-03-06T22:06:21Z |
| format | Journal article |
| id | oxford-uuid:504a3d50-be9a-4b05-a018-1be8694434d8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:06:21Z |
| publishDate | 1992 |
| record_format | dspace |
| spelling | oxford-uuid:504a3d50-be9a-4b05-a018-1be8694434d82022-03-26T16:12:39ZGAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:504a3d50-be9a-4b05-a018-1be8694434d8EnglishSymplectic Elements at Oxford1992Kouvaritakis, BRossiter, JChang, AA convenient means of extending generalised predictive control to the multivariable case is through the use of singular value decomposition. However, owing to the bicausal nature of this decomposition, special care has to be taken to ensure that the overall control law is causal; this can be achieved by giving up some of the available degrees of freedom, but the results obtained in this way are suboptimal. It is the purpose of this paper to remove this difficulty. Owing to the complexity of the problem, consideration is given only to the scalar case for which the singular value decomposition reduces to a gain/phase decomposition; the proposed approach can be extended to the multivariable case but this is not undertaken here. The efficacy of the algorithm developed in this paper is demonstrated by means of a numerical example. |
| spellingShingle | Kouvaritakis, B Rossiter, J Chang, A GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title | GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title_full | GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title_fullStr | GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title_full_unstemmed | GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title_short | GAIN PHASE-DECOMPOSITION AND GENERALIZED PREDICTIVE CONTROL OF SCALAR SYSTEMS |
| title_sort | gain phase decomposition and generalized predictive control of scalar systems |
| work_keys_str_mv | AT kouvaritakisb gainphasedecompositionandgeneralizedpredictivecontrolofscalarsystems AT rossiterj gainphasedecompositionandgeneralizedpredictivecontrolofscalarsystems AT changa gainphasedecompositionandgeneralizedpredictivecontrolofscalarsystems |