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Convolution profiles for right inversion of multivariable non-minimum phase discrete-time systems. (English) Zbl 1011.93022

Summary: 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.

MSC:

93B27 Geometric methods
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
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