The problem of the non-causal inversion of linear multivariable discrete-time systems is analyzed in the geometric approach framework and is solved through the computation of convolution profiles which guarantee perfect tracking under the assumption of infinite-length preaction and postaction time intervals. It is shown how the shape of the convolution profiles is related to both the relative degree and the invariant zeros of the plant. A computational setting for the convolution pro#les is derived by means of the standard geometric approach tools. Feasibility constraints are also taken into account. A possible implementation scheme, based on a #nite impulse response system acting on a stabilized control loop, is provided.

G., M., Prattichizzo, D., & E., Z. (2002). Convolution profiles for right inversion of multi-variable non-minimum phase discrete-time systems. AUTOMATICA, 38(10), 1695-1703 [10.1016/S0005-109802000882].

Convolution profiles for right inversion of multi-variable non-minimum phase discrete-time systems.

PRATTICHIZZO, DOMENICO;
2002

Abstract

The problem of the non-causal inversion of linear multivariable discrete-time systems is analyzed in the geometric approach framework and is solved through the computation of convolution profiles which guarantee perfect tracking under the assumption of infinite-length preaction and postaction time intervals. It is shown how the shape of the convolution profiles is related to both the relative degree and the invariant zeros of the plant. A computational setting for the convolution pro#les is derived by means of the standard geometric approach tools. Feasibility constraints are also taken into account. A possible implementation scheme, based on a #nite impulse response system acting on a stabilized control loop, is provided.
G., M., Prattichizzo, D., & E., Z. (2002). Convolution profiles for right inversion of multi-variable non-minimum phase discrete-time systems. AUTOMATICA, 38(10), 1695-1703 [10.1016/S0005-109802000882].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/28779
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