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.
l-Delay Input Reconstruction for Discrete-Time Linear Systems / S. Kirtikar; H. Palanthandalam-Madapusi; E. Zattoni; D. S. Bernstein. - ELETTRONICO. - (2009), pp. 1848-1853. (Intervento presentato al convegno Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference tenutosi a Shanghai, P.R. China nel December 16-18, 2009) [10.1109/CDC.2009.5400498].
l-Delay Input Reconstruction for Discrete-Time Linear Systems
ZATTONI, ELENA;
2009
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
