Delin Chu; Volker Mehrmann : Disturbance Decoupled Observer Design for Descriptor Systems.

Author(s) :

Delin Chu; Volker Mehrmann

Title :

Disturbance Decoupled Observer Design for Descriptor Systems.

Electronic source:

application/pdf

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-28, 1997

Mathematics Subject Classification :

93B05 [ Controllability ]

93B40 [ Computational methods in systems theory ]

93B52 [ Feedback control ]

65F35 [ Matrix norms, etc. (numerical linear algebra) ]

Abstract :

In this paper we studfy observer design problem for descripor systems with partly unknown inputs. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupled estimation problem with or without stable error spectrum requiring at the same time that the resulting closed-loop system is regular and of index at most one. All results are proved based on a condensed form that can bee computed using orthogonal matrix transformations, i.e., transformations that can be implemented in a numerically stable way.

Keywords :

Descriptor system, error spectrum, stability, sisturbance decoupled estimation, index, othogonal mtarix transformation

Language :

english

Publication time :

12/1997