On frequency weighted minimal L/sub 2/ sensitivity of 2-D systems using Fornasini-Marchesini LSS model

Abstract

The optimal state-space realization design problem is investigated in terms of minimizing a frequency weighted L/sub 2/-sensitivity measure for two-dimensional (2-D) linear digital systems represented with the Fornasini-Marchesini local state-space (LSS) model. An expression is derived for the transfer function error due to finite wordlength (FWL) effects on parameters. The optimal realization problem is then formulated, which is shown to be equivalent to minimizing the frequency weighted L/sub 2/-sensitivity measure. The problem is solved and the optimal design procedures are illustrated with an example.