Two-dimensional system optimal realizations with L/sub 2/-sensitivity minimization

Abstract

An expression is derived for the error variance of transfer function of a two-dimensional (2-D) system. The optimal realization problem is then formulated by minimizing this variance with respect to all possible realizations of the system. This problem is shown to be equivalent to the minimization of a pure L/sub 2/ norm based sensitivity measure. It is shown that the problem can be solved using any standard minimization algorithm.