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Paper details
Number 1 - March 2025
Volume 35 - 2025
Discrete-time linear systems with desired poles and zeros of the transfer matrices
Tadeusz Kaczorek, Łukasz Sajewski
Abstract
Methods for the design of discrete-time linear systems with desired poles and zeros of their transfer matrices are proposed.
Conditions for the existence of the solution to the problem and the procedures for computation of the desired matrices are
given. Reduction of the systems with controllable and observable pairs to those with nilpotent matrices is analysed. The
procedures are illustrated by simple numerical examples of linear discrete-time systems.
Keywords
design method, linear system, discrete-time system, nilpotent system, pole, zero, transfer matrix