Disturbance decoupling in descriptor systems via output feedback - A parametric eigenstructure assignment approach

Based on a recently proposed complete parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, disturbance decoupling using output feedback in descriptor linear systems is investigated. Both the dynamical and static disturbance decoupling problems are tackled. Necessary and sufficient conditions for both problems are proposed in terms of the closed-loop eigenvalues and eigenvectors. By arranging these conditions into constraints on the design parameters provided by eigenstructure assignment, the disturbance decoupling problems are converted into eigenstructure assignment problems with extra parameter constraints. The approach guarantees closed-loop regularity, offers certain flexibility and can provide all the degrees of design freedom. An example is investigated to show the effect of the proposed approach.