NUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITY
Three recent papers proposed modifications to the generalized predictive control algorithm which guarantee closed-loop stability. The first two adopted the philosophy of Constrained Receding Horizon Predictive Control (CRHPC), whereas the third adopted a Stable Generalized Predictive Control (SGPC)...
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| Format: | Conference item |
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1994
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| _version_ | 1826272615259439104 |
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| author | Rossiter, J Kouvaritakis, B Inst Elect Engineers, C |
| author_facet | Rossiter, J Kouvaritakis, B Inst Elect Engineers, C |
| author_sort | Rossiter, J |
| collection | OXFORD |
| description | Three recent papers proposed modifications to the generalized predictive control algorithm which guarantee closed-loop stability. The first two adopted the philosophy of Constrained Receding Horizon Predictive Control (CRHPC), whereas the third adopted a Stable Generalized Predictive Control (SGPC) strategy: first stabilize then control the plant. Here we examine the relationship between CRHPC and SGPC and show that theoretically the two approaches are equivalent, but that CRPHPC could be subject to significant numerical instability problems. Two improved implementations of CRHPC are proposed, but SGPC is shown to have better numerical stability and efficiency. |
| first_indexed | 2024-03-06T22:15:22Z |
| format | Conference item |
| id | oxford-uuid:533792b3-b08f-4926-8e1f-0b5310c35410 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:15:22Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:533792b3-b08f-4926-8e1f-0b5310c354102022-03-26T16:30:14ZNUMERICAL ROBUSTNESS AND EFFICIENCY OF GENERALIZED PREDICTIVE CONTROL ALGORITHMS WITH GUARANTEED STABILITYConference itemhttp://purl.org/coar/resource_type/c_5794uuid:533792b3-b08f-4926-8e1f-0b5310c35410Symplectic Elements at Oxford1994Rossiter, JKouvaritakis, BInst Elect Engineers, CThree recent papers proposed modifications to the generalized predictive control algorithm which guarantee closed-loop stability. The first two adopted the philosophy of Constrained Receding Horizon Predictive Control (CRHPC), whereas the third adopted a Stable Generalized Predictive Control (SGPC) strategy: first stabilize then control the plant. Here we examine the relationship between CRHPC and SGPC and show that theoretically the two approaches are equivalent, but that CRPHPC could be subject to significant numerical instability problems. Two improved implementations of CRHPC are proposed, but SGPC is shown to have better numerical stability and efficiency. |
| spellingShingle | Rossiter, J Kouvaritakis, B Inst Elect Engineers, C 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 AT instelectengineersc numericalrobustnessandefficiencyofgeneralizedpredictivecontrolalgorithmswithguaranteedstability |