D. Chu; V. Mehrmann : Disturbance Decoupling for Descriptor Systems

Author(s) :

D. Chu; V. Mehrmann

Title :

Disturbance Decoupling for Descriptor Systems

Electronic source:

application/pdf

Preprint series

Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik (Germany). Preprint 97-7, 1997

Mathematics Subject Classification :

93B05 [ Controllability ]

93B40 [ Computational methods in systems theory ]

93B52 [ Feedback control ]

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

Abstract :

We study the disturbance decoupling problem for linear time invariant descriptor systems. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupling problem via a proportional and/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively based on condensed forms that can be computed using orthogonal matrix transformations , i.e., transformations that can be implemented in a numerically stable way.

Keywords :

Descriptor system, state feedback, disturbance decoupling, orthogonal matrix transformation

Language :

english

Publication time :

2/1997