An internally stable realization of a finite-dimensional approximation of a delay element

Abstract

Gain scheduling of the error of a finite-dimensional approximation of a delay element is an effective solution of an control problem for delay systems. In order to overcome the problem of a possible unstable pole-zero cancellation in the straightforward realization of the approximation error, this paper presents a method for obtaining its internally stable realization using finite Laplace transforms.

Acknowledgments

The author would like to thank the reviewers for their helpful suggestions and comments.