| Title:
|
On the solution of the constrained multiobjective control problem with the receding horizon approach (English) |
| Author:
|
De Vito, Daniele |
| Author:
|
Scattolini, Riccardo |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
2008 |
| Pages:
|
649-663 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem of simultaneously minimizing a set of $H_{\infty }$ cost functions for a class of systems subject to bounded disturbances and/or parameter uncertainties. Numeric examples are reported to highlight the stabilizing action of the proposed control laws. (English) |
| Keyword:
|
multiobjective optimization |
| Keyword:
|
receding horizon control |
| Keyword:
|
robust control |
| Keyword:
|
stability |
| MSC:
|
34H05 |
| MSC:
|
49J35 |
| MSC:
|
90C29 |
| MSC:
|
90C59 |
| MSC:
|
93B36 |
| MSC:
|
93C10 |
| MSC:
|
93C55 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1178.93089 |
| idMR:
|
MR2479310 |
| . |
| Date available:
|
2009-09-24T20:38:49Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135880 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Nicolao G. De, Magni, L., Scattolini R.: Stability and robustness of nonlinear receding-horizon control.In: Nonlinear Model Predictive Control (F. Allgöwer and A. Zheng, eds.), Birkhäuser Verlag, Basel 2000 Zbl 0958.93512, MR 1756662 |
| 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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| . |
