A method of analysis for feedback systems with multiple inputs and outputs is presented, based on the transfer-function matrix representation. It allows the direct computation of any transfer function tijrelating the ith input to the jth output, given the forward and feedback transfer function matrices G (s) and H (s), and sets out clearly the relationship between the numerator and denominator of such a transfer function.
The derivation of the method from first principles, starting with the system connection matrix, is felt to impart a certain insight into the behaviour of such complex structures.
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