X. Xin et al., Complete solution of the 4-block H-infinity control problem with infinite and finite j omega-axis zeros, INT J ROBUS, 10(2), 2000, pp. 59-81
Citations number
28
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
This paper discusses the 4-block H-infinity control problem with infinite a
nd finite j omega-axis invariant zeros in the state-space realizations of t
he transfer functions from the control input to the controlled output and f
rom the disturbance input to the measurement output, where these realizatio
ns are induced from a stabilizable and detectable realization of the genera
lized plant. This paper extends the DGKF approach to the Hm control problem
but permitting infinite and finite j omega-axis invariant zeros by using t
he eigenstructures related to these zeros. Necessary and sufficient conditi
ons are presented for checking solvability through checking the stabilizing
solutions of two reduced-order Riccati equations and examining matrix norm
conditions related to the j omega-axis zeros. The parameterization of all
suitable controllers is given in terms of a linear fractional transformatio
n involving a certain fixed transfer function matrix and together with a st
able transfer function matrix with gain less than 1 which is free apart fro
m satisfying certain interpolation conditions. Copyright (C) 2000 John Wile
y & Sons, Ltd.