抄録
Linear descriptor system of the form Ex=Ax+Bu, y=Cx with E singular is a mixture of dynamic and static equations and can be served as a useful method in analysis of many real and practical situations.
This paper deals with the problem of designing an observer for descriptor systems. The traditional approach to such an observer is to separate the dynamic equations from the algebraic equations, and to estimate the unobservable parts from the outputs. Contrary to this, the observer is presupposed to have the same structure as Luenberger observer. At first, the fundamental equations that the plant and the observer must satisfy are derived. Secondly, based on these equations, sufficient conditions are given for the existence of the observer and methods of designing an identity observer and low-order observers are presented by utilizing the generalized matrix inverse.
