Structural Disturbance Decoupling by Measurement Feedback: Graph TheoreticalConditions

摘要

Structured systems are linear systems in which each of the coefficients either isfixed to zero or is an independent free parameter. In this paper the authors study the well-known disturbance decoupling problem by measurement feedback for structured systems. The authors derive necessary and sufficient conditions for the generic solvability of the problem. Generic solvability here means solvability for almost all possible parameter values. The conditions will be stated in terms of a directed graph that can easily be associated to the structured system. The advantage of this is that the conditions then can be verified by means of well-known and efficient combinatorial algorithms.