ROBUST EIGENVALUE ASSIGNMENT IN 2ND-ORDER SYSTEMS - A GRADIENT FLOW APPROACH

In this paper the problem of robust eigenvalue assignment in second-or der systems by combined derivative and proportional state feedback is examined. It is shown that almost arbitrary assignment can be achieved by solving a linear matrix equation or symmetric linear system. Based on the fact that the robustness of the spectrum is characterized by t he condition number of the eigenvectors, an alternative objective func tion is defined and minimized by utilizing the gradient flow technique . Numerical tests are performed to illustrate the approach. (C) 1997 J ohn Wiley & Sons, Ltd.