KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM
Eigenvector or principal direction projections provide a convenient means of decomposing the multivariable problem into a set of scalar control problems, each of which can be solved using single-input single-output generalised predictive control. However the bicausal nature of eigenvector or princip...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Publ by IEE
1994
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| _version_ | 1797072357383208960 |
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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 | Eigenvector or principal direction projections provide a convenient means of decomposing the multivariable problem into a set of scalar control problems, each of which can be solved using single-input single-output generalised predictive control. However the bicausal nature of eigenvector or principal direction representations leads to anticausality difficulties which in the past have been overcome by a 'forward' shift in the control horizon. Under some circumstances this shift introduces an undesirable pseudo-delay, and a recent paper proposed the use 'kernels' of bicausal operators as an effective remedy for the scalar case. In the paper the authors explore the relationship between these kernels and scaling of the bicausal representations and propose algorithms which overcome the pseudo-delay problems in the multivariable case. |
| first_indexed | 2024-03-06T23:06:39Z |
| format | Journal article |
| id | oxford-uuid:640b5ede-4292-42d4-afa4-c3e17a1eccde |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:06:39Z |
| publishDate | 1994 |
| publisher | Publ by IEE |
| record_format | dspace |
| spelling | oxford-uuid:640b5ede-4292-42d4-afa4-c3e17a1eccde2022-03-26T18:16:32ZKERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEMJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:640b5ede-4292-42d4-afa4-c3e17a1eccdeEnglishSymplectic Elements at OxfordPubl by IEE1994Kouvaritakis, BRossiter, JChang, AEigenvector or principal direction projections provide a convenient means of decomposing the multivariable problem into a set of scalar control problems, each of which can be solved using single-input single-output generalised predictive control. However the bicausal nature of eigenvector or principal direction representations leads to anticausality difficulties which in the past have been overcome by a 'forward' shift in the control horizon. Under some circumstances this shift introduces an undesirable pseudo-delay, and a recent paper proposed the use 'kernels' of bicausal operators as an effective remedy for the scalar case. In the paper the authors explore the relationship between these kernels and scaling of the bicausal representations and propose algorithms which overcome the pseudo-delay problems in the multivariable case. |
| spellingShingle | Kouvaritakis, B Rossiter, J Chang, A KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title | KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title_full | KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title_fullStr | KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title_full_unstemmed | KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title_short | KERNELS OF ANTICAUSAL OPERATORS AND THE MULTIVARIABLE GENERALIZED PREDICTIVE CONTROL PROBLEM |
| title_sort | kernels of anticausal operators and the multivariable generalized predictive control problem |
| work_keys_str_mv | AT kouvaritakisb kernelsofanticausaloperatorsandthemultivariablegeneralizedpredictivecontrolproblem AT rossiterj kernelsofanticausaloperatorsandthemultivariablegeneralizedpredictivecontrolproblem AT changa kernelsofanticausaloperatorsandthemultivariablegeneralizedpredictivecontrolproblem |