Inhalt des Dokuments
Preprint 21-2006
Algebraic characterization of controllability and observability for second order descriptor systems
Author(s) :
Philip Losse
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 21-2006
MSC 2000
- 93B05 Controllability
-
93B07 Observability
Abstract :
We analyze controllability and observability conditions for second order
descriptor systems and show how the classical conditions for first order systems can be generalized to this case. We show that performing a classical transformation to first order form may destroy some controllability and observability properties. To avoid this, we will derive a canonical form and new first order formulations that do not destroy the controllability and observability properties. As an example,
we demonstrate that the loss of impulse controllability in constrained
multi-body systems is due to the representation as first order system.
Keywords :
descriptor system, impulse controllability, impulse observability, second order system, order reduction, index reduction
Notes :
This is a corrected version of the preprint 21-2006 of October 2006