A Method to Obtain the Semi-Canonical Morse's Form of a Linear Multivariable System

J.L. Orozco, J. Ruiz-León, and O. Begovich (Mexico)


Linear multivariable systems, Canonical particular problem may depend on the structural informa forms, Semi-canonical Morse’s form, System structure. tion displayed by this form. Also, knowledge of the trans formation element is fundamental in practical problems, for example when it is necessary to obtain a control scheme solving a particular problem, not to be applied to the system


: A method is presented in this paper to compute properties are well established [1, 2], the issue of ac an element of a transformation group, which takes a state tually computing the transformation which takes a system space representation of a linear multivariable system to its representation (A, B, C) to this canonical form has been semi-canonical Morse’s form. The system under conside- overlooked. On the other hand, due to the inherent com ration is supposed to be right invertible, controllable and plexity of problems related to structure modification, it is with no finite zeros. The element of the transformation a common practice in the analysis process to consider that group involves state feedback, permutation of outputs and the system representation is already in this canonical form. change of basis in states and inputs. Obtaining the semi-canonical Morse’s form of a system is an important matter, since the existence of a solution for a

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