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- Title
Eigenvalues assignment in uncontrollable linear systems.
- Authors
KACZOREK, Tadeusz
- Abstract
It is shown that in an uncontrollable linear system ˙ x = Ax+Bu it is possible to assign arbitrarily the eigenvalues of the closedloop system with state feedbacks u = Kx, K €Rnxn if rank [A B] = n. The design procedure consists of two steps. In step 1, a nonsingular matrix M €nn 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 a simple example.
- Subjects
MATRICES (Mathematics)
- Publication
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022, Vol 70, Issue 6, p1
- ISSN
0239-7528
- Publication type
Article
- DOI
10.24425/bpasts.2022.141987