Direct reduced order discretization of continuous-time controller
In this paper, we investigate the problem of closed-loop approximation of a continuous-time controller by a low-order discrete-time controller with sample and hold devices and an anti-aliasing filter. The problem is first reduced to an open-loop problem of sampled-data controller reduction with cont...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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John Wiley and Sons Ltd
1999
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| _version_ | 1826267594351443968 |
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| author | Anderson, B Chongsrid, K Limebeer, D Hara, S |
| author_facet | Anderson, B Chongsrid, K Limebeer, D Hara, S |
| author_sort | Anderson, B |
| collection | OXFORD |
| description | In this paper, we investigate the problem of closed-loop approximation of a continuous-time controller by a low-order discrete-time controller with sample and hold devices and an anti-aliasing filter. The problem is first reduced to an open-loop problem of sampled-data controller reduction with continuous-time weights. The operator representing the error in approximation can be approximated (arbitrarily closely) by a time-invariant discrete-time system resulting from applying fast sampling and lifting. We propose a method for obtaining a low-order discrete-time controller which makes small the approximation error based on recasting the approximation problem as a four-block H∞ problem. The latter can be solved efficiently by the method proposed by Glover et al. We also give a numerical example to verify the effectiveness of the method. |
| first_indexed | 2024-03-06T20:56:35Z |
| format | Journal article |
| id | oxford-uuid:39793f52-686a-4d72-8ba1-bd80a4b77f5c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:56:35Z |
| publishDate | 1999 |
| publisher | John Wiley and Sons Ltd |
| record_format | dspace |
| spelling | oxford-uuid:39793f52-686a-4d72-8ba1-bd80a4b77f5c2022-03-26T13:55:38ZDirect reduced order discretization of continuous-time controllerJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:39793f52-686a-4d72-8ba1-bd80a4b77f5cEnglishSymplectic Elements at OxfordJohn Wiley and Sons Ltd1999Anderson, BChongsrid, KLimebeer, DHara, SIn this paper, we investigate the problem of closed-loop approximation of a continuous-time controller by a low-order discrete-time controller with sample and hold devices and an anti-aliasing filter. The problem is first reduced to an open-loop problem of sampled-data controller reduction with continuous-time weights. The operator representing the error in approximation can be approximated (arbitrarily closely) by a time-invariant discrete-time system resulting from applying fast sampling and lifting. We propose a method for obtaining a low-order discrete-time controller which makes small the approximation error based on recasting the approximation problem as a four-block H∞ problem. The latter can be solved efficiently by the method proposed by Glover et al. We also give a numerical example to verify the effectiveness of the method. |
| spellingShingle | Anderson, B Chongsrid, K Limebeer, D Hara, S Direct reduced order discretization of continuous-time controller |
| title | Direct reduced order discretization of continuous-time controller |
| title_full | Direct reduced order discretization of continuous-time controller |
| title_fullStr | Direct reduced order discretization of continuous-time controller |
| title_full_unstemmed | Direct reduced order discretization of continuous-time controller |
| title_short | Direct reduced order discretization of continuous-time controller |
| title_sort | direct reduced order discretization of continuous time controller |
| work_keys_str_mv | AT andersonb directreducedorderdiscretizationofcontinuoustimecontroller AT chongsridk directreducedorderdiscretizationofcontinuoustimecontroller AT limebeerd directreducedorderdiscretizationofcontinuoustimecontroller AT haras directreducedorderdiscretizationofcontinuoustimecontroller |