Abstract
This paper shows necessary and sufficient conditions for the solvability of the block decoupling problem by using the concept of interactor.
We first propose a method that state feedback and input transformation are directly derived from the relation of the open-loop transfer function matrix with relatively right prime factrization and the closed-loop transfer function matrix. Secondly, we introduce an unique lower left trianglar matrix, an interactor, which is defined by Wolovich and Falb, and define a lower left trianglar matrix which has similar qualities of interactor. Finally, we show our method for solving the block decoupling problem. The most advantage of our technique is that the transfer function matrices of subsystems in the block decoupled system always become the lower left trianglar matrices.
