Receding horizon H(infinity) predictive control for systems with input saturation
A receding horizon H∞ predictive control method is derived by solving a min-max problem in nonrecursive form. The min-max cost index is converted to a quadratic form which, for systems with input saturation, can be minimised using QP. Stability conditions and H∞ norm bounds on disturbance rejection...
| Asıl Yazarlar: | , |
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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
IEE
2000
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| _version_ | 1826280831748931584 |
|---|---|
| author | Lee, Y Kouvaritakis, B |
| author_facet | Lee, Y Kouvaritakis, B |
| author_sort | Lee, Y |
| collection | OXFORD |
| description | A receding horizon H∞ predictive control method is derived by solving a min-max problem in nonrecursive form. The min-max cost index is converted to a quadratic form which, for systems with input saturation, can be minimised using QP. Stability conditions and H∞ norm bounds on disturbance rejection are obtained. Without input saturation, stabilising terminal weights guaranteeing finite H∞ norm bounds always exist, but the guaranteed H∞ norm bound may be conservative; this is remedied through the use of closed-loop prediction. Feasible sets for state and disturbances are derived, for which stability can be guaranteed. The algorithm and weight selection procedures are given in terms of LMIs. |
| first_indexed | 2024-03-07T00:19:38Z |
| format | Journal article |
| id | oxford-uuid:7c171201-87f4-49f2-81e6-1d1fb1d7ed0c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:19:38Z |
| publishDate | 2000 |
| publisher | IEE |
| record_format | dspace |
| spelling | oxford-uuid:7c171201-87f4-49f2-81e6-1d1fb1d7ed0c2022-03-26T20:54:46ZReceding horizon H(infinity) predictive control for systems with input saturationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7c171201-87f4-49f2-81e6-1d1fb1d7ed0cEnglishSymplectic Elements at OxfordIEE2000Lee, YKouvaritakis, BA receding horizon H∞ predictive control method is derived by solving a min-max problem in nonrecursive form. The min-max cost index is converted to a quadratic form which, for systems with input saturation, can be minimised using QP. Stability conditions and H∞ norm bounds on disturbance rejection are obtained. Without input saturation, stabilising terminal weights guaranteeing finite H∞ norm bounds always exist, but the guaranteed H∞ norm bound may be conservative; this is remedied through the use of closed-loop prediction. Feasible sets for state and disturbances are derived, for which stability can be guaranteed. The algorithm and weight selection procedures are given in terms of LMIs. |
| spellingShingle | Lee, Y Kouvaritakis, B Receding horizon H(infinity) predictive control for systems with input saturation |
| title | Receding horizon H(infinity) predictive control for systems with input saturation |
| title_full | Receding horizon H(infinity) predictive control for systems with input saturation |
| title_fullStr | Receding horizon H(infinity) predictive control for systems with input saturation |
| title_full_unstemmed | Receding horizon H(infinity) predictive control for systems with input saturation |
| title_short | Receding horizon H(infinity) predictive control for systems with input saturation |
| title_sort | receding horizon h infinity predictive control for systems with input saturation |
| work_keys_str_mv | AT leey recedinghorizonhinfinitypredictivecontrolforsystemswithinputsaturation AT kouvaritakisb recedinghorizonhinfinitypredictivecontrolforsystemswithinputsaturation |