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| Titel: |
On static feedback for the ℓ 1 and other optimal control problems |
| Auteur: |
Mirkin, Leonid Rivlin, Ehud Rotstein, HEctor |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 76 (2003) nr. 5 pagina's 453-458 |
| Jaar: |
2003-03-20 |
| Inhoud: |
Although ℓ1 -optimal linear state feedback controllers are known to be dynamic, it has been shown that suboptimal performance arbitrarily closed to optimal can be achieved by using a static non-linear feedback law. In this paper, this fact is established by using a novel approach which shows that the result is a natural consequence of elementary state-space theory. The approach is motivated by recent works in active vision systems, which have considered a state-feedback problem tightly connected with ℓ1 optimization. This problem, which has independent interest, is discussed in some detail. The new formulation of the problem provides additional insight in ℓ1 state-feedback. In particular, it leads naturally to some extensions which do not follow in a straightforward manner from previous works on the subject. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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