Robust passive control of singular systems with uncertainties

This paper focuses on the robust passive control problem of singular systems with uncertainties which is described by state space. Specifically the impulse of the singular systems is considered. We develop a linear matrix inequality (LMI) approach for designing the robust impulse passive state feedback controller and the output feedback controller such that the closed-loop system is quadratically stable, strictly passive and impulse free for all the admissible uncertainties. Finally, we testify the feasibility of the theorems by the numerical examples.