Pseudorational functions and H∞ theory
Tannenbaum, Allen R.
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The H∞ optimization problem for a class of distributed parameter systems is studied. This class is called pseudorational, and is particularly in close relationship with Sarason's interpolation theorem (1967). A general state space representation for Sarason's theorem is obtained. It is shown that for the case of the plant represented by a Blaschke product in this class, the optimal sensitivity computation is reduced to the limiting case of the Nevanlinna-Pick solutions.