Pole Placement Algorithms

In this paper we propose a numerical algorithm for determining optimal output feedback gains for the pole placement task for symmetric state space systems. The algorithm is based on minimizing a least squares cost criterion which is well defined even when an exact solution to the pole placement task does not exist. Thus, the proposed algorithm provides an important tool in investigating the complex structure of the pole placement task as well as a means to compute optimal output feedback gain matrices to provide a “best fit” between the system poles and the desired poles.