Abstract
The structural decomposition of linear multi-variable systems which can be represented by a transfer matrix is investigated. A factorization procedure is proposed and the necessary mathematical techniques to achieve this form are outlined. The result obtained is applied to the synthesis of the Wiener-Hopf optimum filter and a pre-compensator design procedure that leads to non-interaction in multi-variable systems is proposed. Relaxation of the decoupling compensator by taking approximations of the transfer functions contained therein gives rise to a condition of diagonal dominance rather than non-interaction in the combined system which enables simpler feedback strategies to be realized. The applicability of the factorization procedure to problems in circuit analysis and aerodynamics is commented upon and the suitability of the method to automatic computation is emphasized.
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