A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM
All solutions to the four block general distance problem which arises in H∞ optimal control are characterized. The procedure is to embed the original problem in an all-pass matrix which is constructed. It is then shown that part of this all-pass matrix acts as a generator of all solutions. Special a...
| Main Authors: | , , , , |
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| Format: | Journal article |
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1991
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| _version_ | 1797095128555323392 |
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| author | Glover, K Limebeer, D Doyle, J Kasenally, E Safonov, M |
| author_facet | Glover, K Limebeer, D Doyle, J Kasenally, E Safonov, M |
| author_sort | Glover, K |
| collection | OXFORD |
| description | All solutions to the four block general distance problem which arises in H∞ optimal control are characterized. The procedure is to embed the original problem in an all-pass matrix which is constructed. It is then shown that part of this all-pass matrix acts as a generator of all solutions. Special attention is given to the characterization of all optimal solutions by invoking a new descriptor characterization of all-pass transfer functions. As an application, necessary and sufficient conditions are found for the existence of an H∞ optimal controller. Following that, a descriptor representation of all solutions is derived. |
| first_indexed | 2024-03-07T04:23:29Z |
| format | Journal article |
| id | oxford-uuid:cbd41908-16da-457b-accb-9885fd76e9e0 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:23:29Z |
| publishDate | 1991 |
| record_format | dspace |
| spelling | oxford-uuid:cbd41908-16da-457b-accb-9885fd76e9e02022-03-27T07:17:30ZA CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEMJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cbd41908-16da-457b-accb-9885fd76e9e0Symplectic Elements at Oxford1991Glover, KLimebeer, DDoyle, JKasenally, ESafonov, MAll solutions to the four block general distance problem which arises in H∞ optimal control are characterized. The procedure is to embed the original problem in an all-pass matrix which is constructed. It is then shown that part of this all-pass matrix acts as a generator of all solutions. Special attention is given to the characterization of all optimal solutions by invoking a new descriptor characterization of all-pass transfer functions. As an application, necessary and sufficient conditions are found for the existence of an H∞ optimal controller. Following that, a descriptor representation of all solutions is derived. |
| spellingShingle | Glover, K Limebeer, D Doyle, J Kasenally, E Safonov, M A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title | A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title_full | A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title_fullStr | A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title_full_unstemmed | A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title_short | A CHARACTERIZATION OF ALL SOLUTIONS TO THE 4 BLOCK GENERAL DISTANCE PROBLEM |
| title_sort | characterization of all solutions to the 4 block general distance problem |
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