In this paper, we propose an approach that treats the synthesis of ser
vo systems as well as the estimation of unstable plants as H-2 control
problems with unstable weights. This approach is based on the notion
of comprehensive stability and the parameterization of comprehensively
stabilizing controllers. The complete result for the nonsingular case
is obtained. This provides an H-2 optimal synthesis method for genera
l linear servo problems and estimation problems of unstable plants. (C
) 1997 Elsevier Science B.V.