Disturbance decoupling by measurement feedback for structured transfer matrix systems

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract Structured transfer matrix systems are linear systems given by transfer matrices of which the innnite pole order of each nonzero entry is known, while the associated innnite gains are unknown and assumed mutually independent. In this paper necessary and suucient conditions are derived for the generic solvability of the well-known disturbance decoupling problem by measurement feedback for structured transfer matrix systems. Generic solvability here means solvability for almost all possible values for the innnite gains of the nonzero transfer matrix entries. The conditions will be stated in terms of a bipartite graph that can easily be associated to a structured transfer matrix system. The advantage of this is that the conditions then can be veriied by means of graph theoretic algorithms.