Observer Design in High-order Descriptor Linear Systems

This paper considers problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and a simple and complete parametric solutions for the observer gain matrix 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 observer eigenvalues. An illustrative example shows the effect of the proposed approaches