Eigenvalues assignment in uncontrollable linear systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.24425/bpasts.2022.141987

• Języki publikacji: EN

Abstrakty

EN

It is shown that in uncontrollable linear system x = 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.

Słowa kluczowe

EN

controllability; eigenvalues; assignment; linear system; feedback; procedure component

PL

sterowność; wartości własne; przypisanie; układ liniowy; informacja zwrotna; element procedury

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2022
• Tom: Vol. 70, nr 6
• Strony: art. no. e141987
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Kaczorek Tadeusz

• Białystok University of Technology, ul. Wiejska 45A, 15-351 Białystok, Poland

• https://orcid.org/0000-0002-1270-3948

Bibliografia

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• [10] W. Mitkowski, Outline of Control Theory. Publishing House AGH, Krakow, 2019.
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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).