ESA in discrete time-delay systems via memory output feedback

This paper considers eigenstructure assignment (ESA) in discrete time-delay systems via memory output feedback. Parametric expression for the left and right closed-loop eigenvectors associated with the closed-loop eigenvalues and two simple and complete parametric solutions for the feedback gain matrix are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This method provides more freedom, possesses good reliability, and does not impose any restriction on the closed-loop eigenvalues. A numerical example demonstrates that this approach is simple and effective for design of discrete time-delay systems.