Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
697664 | Automatica | 2009 | 6 Pages |
Abstract
This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity function with respect to the unstable zeros of the open-loop transfer function. It is an analogue of Bode’s integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals and the unstable zeros of the open-loop transfer function.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Kunihisa Okano, Shinji Hara, Hideaki Ishii,