Non interacting control by measurement feedback

In this paper we shall solve the problem of non interacting control by measurement feedback for systems that in addition to a control input and a measurement output have two exogenous inputs and two exogenous outputs. That is, we shall derive necessary and sufficient conditions that can actually be verified for the existence of a measurement feedback compensator such that the transfer matrix of the resulting closed loop system, when partitioned according to exogenous inputs and outputs, has off-diagonal blocks equal to zero. Keywords & Phrases: Non interacting control, measurement feedback, (A, B)-compatibility, (C,A)-compatibility, linear matrix equations