NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY
Three recent publications proposed modifications to the generalised predictive control algorithm which guarantee closed-loop stability. Of these the first two adopt the same philosophy, namely that of constrained receding horizon predictive control (CRHPC), whereas the third adopts a stable generali...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Publ by IEE
1994
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| _version_ | 1826291657238118400 |
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| author | Rossiter, J Kouvaritakis, B |
| author_facet | Rossiter, J Kouvaritakis, B |
| author_sort | Rossiter, J |
| collection | OXFORD |
| description | Three recent publications proposed modifications to the generalised predictive control algorithm which guarantee closed-loop stability. Of these the first two adopt the same philosophy, namely that of constrained receding horizon predictive control (CRHPC), whereas the third adopts a stable generalised predictive control (SGPC) strategy by first stabilising then controlling the plant. The purpose of the paper is to examine the relationship between CRHPC and SGPC. It is shown that, theoretically, the two approaches are equivalent, but is also shown that CRPHPC could be subject to significant numerical instability problems. Two alternative improved implementations of CRHPC are proposed, but SGPC is shown to have the advantage in terms of numerical stability and computational efficiency. |
| first_indexed | 2024-03-07T03:02:42Z |
| format | Journal article |
| id | oxford-uuid:b17e2899-ff8c-4d76-914a-867dc9b6466b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:02:42Z |
| publishDate | 1994 |
| publisher | Publ by IEE |
| record_format | dspace |
| spelling | oxford-uuid:b17e2899-ff8c-4d76-914a-867dc9b6466b2022-03-27T04:04:26ZNUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITYJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b17e2899-ff8c-4d76-914a-867dc9b6466bEnglishSymplectic Elements at OxfordPubl by IEE1994Rossiter, JKouvaritakis, BThree recent publications proposed modifications to the generalised predictive control algorithm which guarantee closed-loop stability. Of these the first two adopt the same philosophy, namely that of constrained receding horizon predictive control (CRHPC), whereas the third adopts a stable generalised predictive control (SGPC) strategy by first stabilising then controlling the plant. The purpose of the paper is to examine the relationship between CRHPC and SGPC. It is shown that, theoretically, the two approaches are equivalent, but is also shown that CRPHPC could be subject to significant numerical instability problems. Two alternative improved implementations of CRHPC are proposed, but SGPC is shown to have the advantage in terms of numerical stability and computational efficiency. |
| spellingShingle | Rossiter, J Kouvaritakis, B NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title | NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title_full | NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title_fullStr | NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title_full_unstemmed | NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title_short | NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY |
| title_sort | numerical robustness and efficiency of generalized predictive control algorithms with guaranteed stability |
| work_keys_str_mv | AT rossiterj numericalrobustnessandefficiencyofgeneralizedpredictivecontrolalgorithmswithguaranteedstability AT kouvaritakisb numericalrobustnessandefficiencyofgeneralizedpredictivecontrolalgorithmswithguaranteedstability |