ESA in High-order Descriptor Linear Systems via Output Feedback

This paper considers eigenstructure assignment (ESA) in high-order descriptor linear systems via output feedback. Parametric expressions for the closed-loop eigenvectors associated with the finite closed-loop eigenvalues, simple and complete parametric solution for the feedback gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does not impose any restriction on the closed-loop eigenvalues. An illustrative example shows the effect of the proposed approach.