An algorithm for minimizing the norm of state feedback controllers in eigenvalue assignment

Minimization of the norm of parametric feedback controllers which assign desired eigenvalues to the closed-loop system is achieved by implementation of vector companion forms described in an earlier paper. The simple algorithm which emerges gives insight into the mechanism by which parametric eigenvalue assignment is affected. A couple of numerical examples are presented to illustrate advantages of this algorithm which easily computes the controller gain matrix with minimum norm.