Optimisation approach to robust eigenstructure assignment

A systematic optimisation approach to robust eigenstructure assignment for control systems with output feedback is presented. The proposed scheme assi gns the maximum allowable number of closed-loop eigenvalues to desired loca tions, and determines the corresponding closed-loop eigenvectors as close t o desired ones as possible. Additionally, the stability of the remaining cl osed-loop eigenvalues is guaranteed by the satisfaction of an appropriate L yapunov equation. The overall design is robust with respect to time-varying parameter perturbations. The approach applied to a literature example, whe re it is shown to capture the shape of the desired transient response.