Brief Convolution profiles for right inversion of multivariable non-minimum phase discrete-time systems

Authors:
Giovanni Marro;Domenico Prattichizzo;Elena Zattoni
Affiliations:
DEIS, Universití di Bologna, Viale Risorgimento, 2, 40136 Bologna, Italy;DII, Universití di Siena, Italy;DEIS, Universití di Bologna, Viale Risorgimento, 2, 40136 Bologna, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2002

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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 profiles is derived by means of the standard geometric approach tools. Feasibility constraints are also taken into account. A possible implementation scheme, based on a finite impulse response system acting on a stabilized control loop, is provided.