Almost disturbance decoupling with internal stability: frequency domain conditions
Özgüler, A. B.
IEEE Transactions on Automatic Control
Institute of Electrical and Electronics Engineers
719 - 723
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This note considers the almost disturbance decoupling problem with internal stability. The problem is that of determining a dynamic measurement feedback which makes the H∞-norm of the disturbance input-to-regulated output transfer matrix arbitrarily small while achieving internal stability. It is shown that the solvability condition in frequency domain for this problem is a purely algebraic one and can be formulated in terms of a two-sided matrix matching equation involving polynomial system matrices. This is known to be a zero cancellation condition. A synthesis procedure for the compensator in frequency domain is also given. © 1990 IEEE