Title :
Pseudorational functions and H∞ theory
Author :
Yamamoto, Yutaka ; Tannenbaum, Allen
Author_Institution :
Div. of Appl. Syst. Sci., Kyoto Univ., Japan
fDate :
29 June-1 July 1994
Abstract :
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.
Keywords :
H∞ optimisation; distributed parameter systems; interpolation; state-space methods; H∞ optimization problem; Nevanlinna-Pick solutions; distributed parameter systems; interpolation theorem; optimal sensitivity computation; pseudorational functions; state-space representation; Algebra; Convolution; Delay systems; Equations; Hilbert space; State-space methods; Time domain analysis; Transfer functions;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.752339
