Eigenstructure Assignment in Reconfigurable Control Systems Eigenstructure Assignment in Reconfigurable Control Systems

An optimization approach to control reconnguration, based on eigenstructure assignment , for control systems with output feedback is presented. The emphasis is on the recovery of the nominal closed-loop performance, which is determined by the closed-loop eigenvalues and eigenvectors. The proposed scheme preserves the max(r; q) most dominant eigenvalues of the nominal closed-loop system and determines their associated closed-loop eigenvectors as close to the corresponding eigenvectors of the nominal closed-loop system as possible. Additionally, the stability of the remaining closed-loop eigenvalues is guaranteed by the satisfaction of an appropriate Lyapunov equation. The overall design is robust with respect to uncertainties in the state-space matrices of the reconngured system. The cases of state feedback and dymanic output feedback are also studied. The approach is applied to two aircraft control examples, where it is shown to not only preserve the shape of the transient response but recover much of the characteristics of the steady-state response as well.