A two-operator approach to robust stabilization of linear systems on
| Autor: | Jonathan R. Partington, Pertti M. Mäkilä |
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| Rok vydání: | 2006 |
| Předmět: | |
| Zdroj: | International Journal of Control. 79:1026-1038 |
| ISSN: | 1366-5820 0020-7179 |
| Popis: | Robust non-fragile feedback stabilization is studied for causal linear time-invariant (LTI) input–output systems defined in an L 2( ) signal space setup, or equivalently in an L 2(j ) setup in the frequency domain. Two-operator descriptions for the plant and the controller are used with bounded operators defined on the full space L 2( ). Basic properties of causal LTI operators on weighted L 2 spaces, L 2( , w), which are relevant to stabilization theory, are also established for different choices of the weighting function w. Weighted L 2 spaces allow the inclusion of persistent signals such as steps and thus provide the potential of important generalizations of the robust stabilization theory on L 2( ). In particular, it is shown that there is a large class of weights w for which the L 2( , w) setup leads to H ∞ optimization. This implies that robust H ∞ design can be applied to a large class of weighted L 2 spaces on . Problems of closability of unstable causal LTI convolution operators are discussed. T... |
| Databáze: | OpenAIRE |
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