Mixed H sub 2/H-infinity control for discrete-time systems via convex optimization
A mixed H sub 2/H-infinity control problem for discrete-time systems is considered, where an upper bound on the H sub 2 /H-infinity norm of a closed loop transfer matrix is minimized subject to an H-infinity constraint on another closed loop transfer matrix. Both state-feedback and output- feedback...
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| Published in | Automatica (Oxford) |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
01.01.1993
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| Online Access | Get full text |
| ISSN | 0005-1098 |
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| Summary: | A mixed H sub 2/H-infinity control problem for discrete-time systems is considered, where an upper bound on the H sub 2 /H-infinity norm of a closed loop transfer matrix is minimized subject to an H-infinity constraint on another closed loop transfer matrix. Both state-feedback and output- feedback cases are considered. It is shown that these problems are equivalent to finite-dimensional convex programming problems. In the state- feedback case, nearly optimal controllers can be chosen to be static gains. In the output feedback case, nearly optimal controllers can be chosen to have a structure similar to that of the central single objective H-infinity controller. In particular, the state dimension of nearly optimal output- feedback controllers need not exceed the plant dimension. (Author) |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 content type line 23 ObjectType-Feature-1 |
| ISSN: | 0005-1098 |