Proportional derivative observer design for rectangular linear descriptor systems

Abstract

A new method is proposed to design a proportional derivative (PD) observer for rectangular linear time invariant descriptor systems. The method is based on the effects of full column rank matrix transformations. By these transformations, given descriptor systems has been transformed into a equivalent system satisfying certain conditions. These full column rank matrices are derived from the coefficient matrices of the given descriptor system using simple matrix theory. Sufficient conditions for the existence of observers are given and proved. An illustrative example is provided to demonstrate the effectiveness of the proposed method.