Abstract
Abstract Eigenstructure assignment for continuous-time descriptor systems Ex(t)=Ax(t)+Bu(t) via descriptor-variable feedback control u(t)=Kx(t) is treated. A new parametric form for the gain matrix K which assigns rank [E] arbitrary finite eigenvalues to the closed-loop system is developed. This form embraces two sets of design parameter vectors characterizing respectively the assignable eigenvectors associated with the finite eigenvalues and a necessary and sufficient condition for closed-loop system regularity. In addition, a certain submatrix of K turns out to be totally free whenever nullity [E] exceeds rank [B]. Unlike earlier methods, the eigenvectors associated with the infinite eigenvalues are dispensed with in the solution algorithm.
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