Sequential design procedures for multivariable control systems: a direct method based on Gauss-Jordan factorization

In this paper the Gauss-Jordan (GJ) factorization technique is used to aid the design of a multivariable control system and with which a large multivariable system can be transformed into a series of multi-input single-output designs. Also, the design of the precompensator can be decomposed into n-stages and each column of this pre-compensator can be designed sequentially. Hence no special structural constraint is imposed on the controller. We also show that the successive application of the GJ elimination to a system´s return difference matrix is associated with the closing of the loops of a system