Eigenvalues assignment in uncontrollable linear systems

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 t...

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Bibliographic Details
Main Author: Tadeusz Kaczorek
Format: Article
Language:English
Published: Polish Academy of Sciences 2022-08-01
Series:Bulletin of the Polish Academy of Sciences: Technical Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/124028/PDF/BPASTS_2022_70_6_3132.pdf