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

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

Author(s) :
D. Chu; V. Mehrmann
Title :
Disturbance Decoupling for Descriptor Systems
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