| Title:
|
$\ell^1$-optimal control for multirate systems under full state feedback (English) |
| Author:
|
Aubrecht, Johannes |
| Author:
|
Voulgaris, Petros G. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
5 |
| Year:
|
1999 |
| Pages:
|
[555]-586 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper considers the minimization of the $\ell ^\infty $-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems. (English) |
| Keyword:
|
state-space approach |
| Keyword:
|
full state feedback |
| Keyword:
|
$\ell^1$ norm |
| Keyword:
|
multirate system |
| Keyword:
|
near-optimal performance |
| Keyword:
|
memoryless nonlinear controller |
| Keyword:
|
viability theory |
| MSC:
|
93B36 |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 1274.93098 |
| idMR:
|
MR1728468 |
| . |
| Date available:
|
2009-09-24T19:28:02Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135308 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
