Title :
Bicoprime factorizations of the plant and their relation to right and left-coprime factorizations
Author :
Desoer, C.A. ; Gundes, A.N.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
7/1/1988 12:00:00 AM
Abstract :
In a general algebraic framework, starting with a bicoprime factorization P=NprD-1 Npl, a right-coprime factorization Np Dp-1, a left-coprime factorization D-1pNp, and the generalized Bezout identities associated with the pairs (Np, Dp) and (D˜ p, N˜p) are obtained. The set of all H-stabilizing compensators for P in the unity-feedback configuration S(P, C) are expressed in terms of (Npr, D, N pt) and the elements of the Bezout identity. The state-space representation P=C(sI-A)-1B is included as an example
Keywords :
compensation; control system analysis; feedback; stability; state-space methods; Bezout identity; algebraic framework; bicoprime factorization; stabilising compensator; state-space; Automatic control; Indium phosphide; Kalman filters; Linear algebra; Linear systems; MIMO; Performance analysis; Polynomials; Solid modeling; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
