DISTURBANCE DECOUPLING BY MEASUREMENT FEEDBACK FOR STRUCTURED TRANSFER-MATRIX SYSTEMS

Structured transfer matrix systems are linear systems given by transfe r matrices of which the infinite zero order of each nonzero entry is k nown, while the associated infinite gains are unknown and assumed mutu ally independent. In this paper necessary and sufficient conditions ar e derived for the generic solvability of the well-known disturbance de coupling problem by measurement feedback for structured transfer matri x systems. Generic solvability here means solvability for almost all p ossible values for the infinite gains of the nonzero transfer matrix e ntries. The conditions will be stated in terms of a bipartite graph th at can be easily associated with a structured transfer matrix system. The advantage of this is that the conditions then can be verified by m eans of graph theoretic algorithms.