This paper addresses the problem of the preservation of the full relative degree under sampling, for a particular class of nonlinear time delay systems, on the basis of the work by Barbot, Monaco, and Normand-Cyrot, (“A Sampled Normal Form for Feedback Linearization,” Mathematics of Control, Signals and Systems, 1996. No. 9, pp. 162–188). The preservation of the relative degree, in order to build up the control law, has many advantages in the delayless case. The results of this paper are a first step in order to achieve the same advantages in the delayed case, too.

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