### Procedure for Constructing Linear Functional Observers

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#### Abstract

In this paper a straightforward procedure, to obtain a linear functional observer with order equal to the dimension of the vector to be estimated, is proposed. Inspired by [3], we have developed a procedure to construct this type of observer in which some significant simplifications have been made and allow computational burden reduction. The procedure developed in this work has the originality and the great advantage that all required matrices are obtained without calculating any generalized inverse. A novel approach which constitutes the coupling of a coordinates transformation and the use of the {1}-inverse property requires only the inversion of a nonsingular matrix. A procedure where all steps are clearly identified is written and a numerical example is provided to illustrate the effectiveness of the observer. *Copyright © 2013 Praise Worthy Prize - All rights reserved.*

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