An observer for semi-explicit differential-algebraic systems

Authors:	Frisk Erik, Linköping University, Sweden Åslund Jan, Linköping University, Sweden
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Observers I
Keywords:	Non-linear, observer, differential-algebraic equation, descriptor system

Abstract

In this paper we consider design of observers for non-linearmodels containing both dynamic and algebraic equations, so calleddifferential-algebraic equations (DAE) or descriptor models. Theobserver is formulated as a DAE and the main results of the paperinclude conditions that ensure local stability of the observer andalso that the observer has index 1. Design methodology is presentedand illustrated using a small simulation study.