Kybernetika 30 no. 2, 153-158, 1994

Dynamics assignment by PD state feedback in linear reachable systems

Petr Zagalak, Vladimír Kučera and Jean-Jacques Loiseau


The limits in altering the eigenstructure of linear reachable descriptor systems by proportional-and-derivative (PD) state feedback are studied. Necessary and sufficient conditions are established for a set of invariant polynomials and positive integers to represent the finite and the infinite eigenstructure of a system obtainable from the given descriptor system by PD state feedback. The result implies a constructive procedure to calculate the actual feedback gains.


93B55, 93C05, 93B03