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

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.
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