Detalle de Otra producción

Autores: Alexis J. Vallarella; Hernán Haimovich.

Resumen: Discrete-time models of non-uniformly sampled nonlinear systems under zero-order hold relate the next state sample to the cur-rent state sample, (constant) input value, and sampling interval. The exact discrete-time model, that is, the discrete-time modelwhose state matches that of the continuous-time nonlinear system at the sampling instants may be difficult or even impossible toobtain. In this context, one approach to the analysis of stability is based on the use of an approximate discrete-time model and abound on the mismatch between the exact and approximate models. This approach requires three conceptually different tasks: i)ensure the stability of the (approximate) discrete-time model, ii) ensure that the stability of the approximate model carries over tothe exact model, iii) if necessary, bound intersample behaviour. Existing conditions for ensuring the stability of a discrete-timemodel as per task i) have some or all of the following drawbacks: are only sufficient but not necessary; do not allow for varyingsampling rate; cannot be applied in the presence of state-measurement or actuation errors. In this paper, we overcome these draw-backs by providing characterizations of, i.e. necessary and sufficient conditions for, two stability properties: semiglobal asymptoticstability, robustly with respect to bounded disturbances, and semiglobal input-to-state stability, where the (disturbance) input maysuccessfully represent state-measurement or actuation errors. Our results can be applied when sampling is not necessarily uniform.

Listado de producción: Otro.

País: Argentina.

Año: 2018

Producción: Enlace web