| Title:
|
Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems (English) |
| Author:
|
Ikeda, Kojiro |
| Author:
|
Azuma, Takehito |
| Author:
|
Uchida, Kenko |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
[505]-520 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of $L^2$ gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known results for the cases of delay- independent/dependent and memoryless/memory controllers, while the infinity dimensionality of the LMIs makes the result difficult to apply. Second, we introduce a technique to reduce the infinite-dimensional LMIs to a finite number of LMIs, and present a feasible algorithm for synthesis of controllers based on the finite-dimensional LMIs. (English) |
| Keyword:
|
time-delay system |
| Keyword:
|
linear system |
| Keyword:
|
LMI |
| MSC:
|
93B50 |
| MSC:
|
93B51 |
| MSC:
|
93C23 |
| MSC:
|
93D05 |
| idZBL:
|
Zbl 1265.93146 |
| idMR:
|
MR1859098 |
| . |
| Date available:
|
2009-09-24T19:41:20Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135423 |
| . |
| 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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