Impulse elimination for positive singular systems using derivative output feedback

Nowadays the singular system constitute an interesting study considering it can become a mathematical model of variety of real problems. It is well known that the solutions of singular system can contain impulse. In some applications, this impulse constitutes some unwanted behaviour because it may cause degradation in the performance or even destroy the system. The positive singular system constitute a singular system in which its solution belong to some nonnegative octant. In this paper we propose a new technique to eliminate the impulses of the positive singular system using a derivative output feedback. Some new theorem that ensures the freedom of impulse of the positive singular system is established.