New computational procedure to the pole placement problem by static output feedback

The authors report on a study of the pole placement problem via static output feedback for linear time-invariant multivariable systems from a geometric point of view. The main tool for this analysis is a novel formulation of the equations characterising the solution. This allows an explicit expression of the output feedback gain matrix K. A computational procedure to find the matrix K is given that does not require restrictive assumptions on the open- and closed-loop system. The algorithm makes use of symbolic computation, performed using the software MATHEMATICA(R).