Robust Constrained Eigensystem Assignment

A robust control algorithm based on eigensystem assignment in a large class of regions in the complex plane is presented. The algorithm allows pole placement as a function of the desired coefficients of the characteristic equation and reduces their sensitivity to perturbation by selecting robust eigenvectors as well. A quantitative robustness measure is developed to estimate the bound on parametric uncertainty possible while still remaining in the target region. The algorithm is tested on a numerical example and results are discussed.