Disturbance decoupling using constrained Sylvester equations

Presents numerically efficient algorithms for the problem of disturbance decoupling with arbitrary pole placement, using state feedback with or without disturbance measurement. The problem is studied under conditions of generic solvability. The main tool for the development of the proposed algorithm is the notion of constrained Sylvester equations. These equations follow naturally from the already existing geometric conditions for the same problem in the literature