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Details van artikel 15 van 83 gevonden artikelen
| Titel: |
A two-operator approach to robust stabilization of linear systems on [image omitted] |
| Auteur: |
Makila, P. M. Partington, J. R. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 79 (2006) nr. 9 pagina's 1026-1038 |
| Jaar: |
2006-09-01 |
| Inhoud: |
Robust non-fragile feedback stabilization is studied for causal linear time-invariant (LTI) input-output systems defined in an L2( [image omitted]) signal space setup, or equivalently in an L2(j [image omitted]) setup in the frequency domain. Two-operator descriptions for the plant and the controller are used with bounded operators defined on the full space L2( [image omitted]). Basic properties of causal LTI operators on weighted L2 spaces, L2( [image omitted], w), which are relevant to stabilization theory, are also established for different choices of the weighting function w. Weighted L2 spaces allow the inclusion of persistent signals such as steps and thus provide the potential of important generalizations of the robust stabilization theory on L2( [image omitted]). In particular, it is shown that there is a large class of weights w for which the L2( [image omitted], w) setup leads to H∞ optimization. This implies that robust H∞ design can be applied to a large class of weighted L2 spaces on [image omitted]. Problems of closability of unstable causal LTI convolution operators are discussed. This strengthens the importance of the two-operator model Ay = Bu as the basic plant input-output model on the full time axis. It is discussed how to obtain such models with A and B bounded causal coprime operators defined on the full signal space. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 15 van 83 gevonden artikelen
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