Almost-Surgical Eigenstructure Assignment for Linear Time Invariant Systems Using State Feedback

Surgical eigenstructure assignment has been considered where all the eigenvalues and a subset of eigenvectors are placed in the closed loop system using state feedback. It is demonstrated that upon certain conditions almost-surgical eigenstructure assignment is always possible to achieve where a subset of eigenvectors and their associated eigenvalues are exactly assigned in the closed-loop system and the remaining eigenvalues are placed arbitrarily close to their desired locations. Numerical example is presented showing the usefulness of presented results in controller design. The results are also extended for uncontrollable system.