Eigenvalue assignment with optimal spectral conditioning by static output feedback

This paper presents a method for the robust assignment of the eigenvalues of a linear system by static output feedback, based on the minimisation of the spectral condition number of the closed-loop dynamic matrix. The procedure relies on an assignment method recently proposed by the authors, that enables the explicit parameterisation of the set of the feedback gain matrices which assign the prescribed closed-loop spectrum, and on the column-scaling properties of eigenvector matrices. The efficiency of the approach is demonstrated using several extensive numerical experiments.