TY - JOUR
N2 - It is shown that in uncontrollable linear system ẋ = Ax + Bu it is possible to assign arbitrarily the eigenvalues of the closed-loop system with state feedbacks u = Kx, K ∈ ℜn⨉m if rank [A B] = n. The design procedure consists in two steps. In the step 1 a nonsingular matrix M ∈ ℜn⨉m is chosen so that the pair (MA,MB) is controllable. In step 2 the feedback matrix K is chosen so that the closed-loop matrix Ac = A − BK has the desired eigenvalues. The procedure is illustrated by simple example.
L1 - http://www.journals.pan.pl/Content/124028/PDF-MASTER/BPASTS_2022_70_6_3132.pdf
L2 - http://www.journals.pan.pl/Content/124028
PY - 2022
IS - 6
EP - e141987
DO - 10.24425/bpasts.2022.141987
KW - controllability
KW - eigenvalues
KW - assignment
KW - linear system
KW - feedback
KW - procedure component
A1 - Kaczorek, Tadeusz
VL - 70
DA - 17.08.2022
T1 - Eigenvalues assignment in uncontrollable linear systems
SP - e141987
UR - http://www.journals.pan.pl/dlibra/publication/edition/124028
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -