ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.
A study of the pole-zero cancellations which occur in a class of H infinity control problems which may be embedded in a given configuration is presented. The class is characterized by the assumption that both P//1 //2 (s) and P//2 //1 (s) are square but not necessarily of the same size. A general bo...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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IEEE
1986
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| _version_ | 1826257192468086784 |
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| author | Limebeer, D Hung, Y |
| author_facet | Limebeer, D Hung, Y |
| author_sort | Limebeer, D |
| collection | OXFORD |
| description | A study of the pole-zero cancellations which occur in a class of H infinity control problems which may be embedded in a given configuration is presented. The class is characterized by the assumption that both P//1 //2 (s) and P//2 //1 (s) are square but not necessarily of the same size. A general bound is desired on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies parallel R(s) parallel infinity less than equivalent to p (p need not be optimal in the L infinity -norm sense). If the McMillan degree of P(s) given is n it is shown that in the single-loop (SISO) case the corresponding (unique) H infinity -optimal controller never requires more than n-1 states. In the multivariable case, there is a continuum of optimal controllers whose McMillan degree satisfies this same bound, although other controllers with higher McMillan degree exist. |
| first_indexed | 2024-03-06T18:14:14Z |
| format | Journal article |
| id | oxford-uuid:040eb4ec-8092-47b4-a56c-9da3d0effd9d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:14:14Z |
| publishDate | 1986 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oxford-uuid:040eb4ec-8092-47b4-a56c-9da3d0effd9d2022-03-26T08:49:45ZANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:040eb4ec-8092-47b4-a56c-9da3d0effd9dEnglishSymplectic Elements at OxfordIEEE1986Limebeer, DHung, YA study of the pole-zero cancellations which occur in a class of H infinity control problems which may be embedded in a given configuration is presented. The class is characterized by the assumption that both P//1 //2 (s) and P//2 //1 (s) are square but not necessarily of the same size. A general bound is desired on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies parallel R(s) parallel infinity less than equivalent to p (p need not be optimal in the L infinity -norm sense). If the McMillan degree of P(s) given is n it is shown that in the single-loop (SISO) case the corresponding (unique) H infinity -optimal controller never requires more than n-1 states. In the multivariable case, there is a continuum of optimal controllers whose McMillan degree satisfies this same bound, although other controllers with higher McMillan degree exist. |
| spellingShingle | Limebeer, D Hung, Y ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title | ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title_full | ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title_fullStr | ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title_full_unstemmed | ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title_short | ANALYSIS OF THE POLE-ZERO CANCELLATIONS IN A CLASS OF H infinity OPTIMAL CONTROL PROBLEMS. |
| title_sort | analysis of the pole zero cancellations in a class of h infinity optimal control problems |
| work_keys_str_mv | AT limebeerd analysisofthepolezerocancellationsinaclassofhinfinityoptimalcontrolproblems AT hungy analysisofthepolezerocancellationsinaclassofhinfinityoptimalcontrolproblems |