A general framework for pole assignment algorithms

The problem of pole assignment by gain output feedback or by low-order dynamical compensator is considered from a geometrical point of view. This allows unification of a general framework for most of the existing pole assignment methods formulated in a state-space context, such as the minimal-order observers, the F.M. Brasch and J.B. Pearson (1970) compensator, the methods proposed by H. Kumura (1978), etc., and simplification of their presentation. Pole assignment algorithms are derived from this general formulation