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Published December 1998 | Published
Book Section - Chapter Open

On robust two-block problems

Abstract

In this paper we consider the following robust two-block problem that arises in estimation and in full-information control: minimize the worst-case H^∞ norm of a two-block transfer matrix whose elements contain H∞-norm-bounded modeling errors. We show that, when the underlying systems are single-input/single-output, and if the modeling errors are "small enough", then the robust, two-block problem can be solved by solving a one-dimensional family of appropriately-weighted "modeling-error-free" two-block problems. We also study the consequences of this result to a robust tracking problem, where the optimal solution can be explicitly found.

Additional Information

© 1998 IEEE. This work was supported in part by DARPA through the Department of Air Force under contract, F49620-95-1-0525-P00001 and by the Joint Service Electronics Program at Stanford under contract DAAH04-94-G-0058-P00003.

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