Proper, denominator assigning feedback compensators equivalent to state variable feedback
نویسندگان
چکیده
منابع مشابه
On the computation and parametrization of proper denominator assigning compensators for strictly proper plants
Given a right coprime MFD of a strictly proper plant P(s) = NR(s)DR(s)−1 with DR(s) column proper a simple numerical algorithm is derived for the computation of all polynomial solutions [X L (s), YL (s)] of the polynomial matrix Diophantine equation X L (s)DR(s)+YL (s)NR(s) = DC (s) which give rise to the class Φ(P, DC ) of proper compensators C(s) := X L (s)−1YL (s) that when employed in a uni...
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Given a right coprime MFD of a strictly proper plant P (s) = NR (s)DR (s) −1 with DR (s) column proper a simple numerical algorithm is derived for the computation of of all polynomial solutions [XL (s) , YL (s)] of the polynomial matrix Diophantine equation XL (s)DR (s) + YL (s)NR (s) = DC (s) which give rise to the class Φ (P, DC) of proper compensators C (s) := XL (s) −1 YL (s) that when empl...
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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 s...
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The general problem of assigning the eigenstructure of semi-proper systems, using state feedback, is first considered. Standard eigenstructure assignment algorithms invariably assume the direct transmission matrix to be null. Consequently, they are suitable only for strictly proper systems. Algorithms do exist for assigning the eigenstructure of semi-proper systems, but they suffer from a lack ...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2016
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2015.12.005