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EnglishAs an extension of existing results on input reconstruction, we define l-delay state and input reconstruction, and we characterize this property through necessary and sufficient conditions. This property is shown to be a stronger notion of left invertibility, in which the initial state is assumed to be known. We demonstrate l-delay state and input reconstruction on several numerical examples, which show how the input reconstruction error depends on the locations of the zeros. Specifically, minimum-phase zeros give rise to decaying input reconstruction error, nonminimum-phase zeros give rise to growing reconstruction error, and zeros on the unit circle give rise to persistent reconstruction error.
| Titolo: | l-Delay Input Reconstruction for Discrete-Time Linear Systems |
| Autore/i: | S. Kirtikar; H. Palanthandalam Madapusi; ZATTONI, ELENA; D. S. Bernstein |
| Autore/i Unibo: | |
| Anno: | 2009 |
| Titolo del libro: | Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference |
| Pagina iniziale: | 1848 |
| Pagina finale: | 1853 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1109/CDC.2009.5400498 |
| Abstract: | As an extension of existing results on input reconstruction, we define l-delay state and input reconstruction, and we characterize this property through necessary and sufficient conditions. This property is shown to be a stronger notion of left invertibility, in which the initial state is assumed to be known. We demonstrate l-delay state and input reconstruction on several numerical examples, which show how the input reconstruction error depends on the locations of the zeros. Specifically, minimum-phase zeros give rise to decaying input reconstruction error, nonminimum-phase zeros give rise to growing reconstruction error, and zeros on the unit circle give rise to persistent reconstruction error. |
| Data prodotto definitivo in UGOV: | 15-gen-2010 |
| Appare nelle tipologie: | 4.01 Contributo in Atti di convegno |
File in questo prodotto:
http://hdl.handle.net/11585/82373
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