Poles and zeros assignment by state feedbacks in positive linear systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.24425/acs.2021.138693

• Języki publikacji: EN

Abstrakty

EN

Poles and zeros assignment problem by state feedbacks in positive continuous-time and discrete-time systems is analyzed. It is shown that in multi-input multi-output positive linear systems by state feedbacks the poles and zeros of the transfer matrices can be assigned in the desired positions. In the positive continuous-time linear systems the feedback gain matrix can be chosen as a monomial matrix so that the poles and zeros of the transfer matrices have the desired values if the input matrix B is monomial. In the positive discrete-time linear systems to solve the problem the matrix B can be chosen monomial if and only if in every row and every column of the n × n system matrix A the sum of n−1 its entries is less than one.

Słowa kluczowe

EN

assignment; pole; zero; transfer matrix; linear; positive; system; state feedback

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 3
• Strony: 593--605
• Opis fizyczny: Bibliogr. 12 poz., rys., wzory

Twórcy

autor

Kaczorek Tadeusz

• Białystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).