The theory of pole assignment in linear time invariant systems with incomplete state measurements is generalized to include the case in which a controllable observable plant of ordernis augmented by a compensator of fixed dimensionalityp(0≤p<n). The maximum sot of eigenvalues that can be preassigned arbitrarily is specified. The results previously available are shown to be particular cases of the theory proposed in the present paper, and Davison's (1970) algorithm is extended so as to apply to fixed order compensators design.