Bicoprime factorizations of the plant and their relation to right and left-coprime factorizations |
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Authors: | Desoer CA Gundes AN |
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Affiliation: | Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA; |
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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 |
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