Parametric Admissible Control for Descriptor Linear Systems via State-Derivative Feedback

Based on the general solution to the proposed generalized Sylvester matrix equation, very simple and complete parametric solutions to the admissible control problem for linear descriptor systems via derivative feedback are established in two cases. With several simple requirements on the design parameters of the solution, rank [E B] number arbitrary finite closed-loop poles with arbitrary algebraic and geometric multiplicities were assigned, and the closed-loop system was regular and impulse-free. The effectiveness of the proposed approach is demonstrated by a numerical example.