Temat: invariant design - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order
Autorzy:: Belozyorov, V. Y.
Powiązania:: https://bibliotekanauki.pl/articles/908334.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: dwuliniowy układ sterowania
układ niezmienny
bilinear control systems
invariant design
asymptotic stability
second-order system
Opis:: The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 377-389
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Proper feedback compensators for a strictly proper plant by polynomial equations
Autorzy:: Callier, F. M.
Kraffer, F.
Powiązania:: https://bibliotekanauki.pl/articles/908450.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: liniowy układ stacjonarny
sprzężenie zwrotne
macierz wielomianowa
równanie wielomianowe
linear time-invariant feedback control systems
polynomial matrix systems
row-column-reduced polynomial matrices
feedback compensator design
flexible belt device
Opis:: We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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