An Integration-Free Method for Inversion of Laplace Transforms: A Useful Tool for Process Control Analysis and Design

Abstract

An efficient method is developed for symbolic inversion of Laplace transforms based on the differential transformation method. The proposed method is conveniently simple and, unlike the classic Bromwich theorem, is free of integration. Several illustrative examples are provided to demonstrate the applicability and reliability of our approach. In addition, a relevant, efficient computer code in Maple is provided. Our method improves the synthesis of control structures for chemical processes in a systematic manner.

Keywords:

• Differential transform
• Inverse Laplace transform
• Laplace transform theory
• Process control

Acknowledgments

We wish to thank Professor Randolph Rach of the George Adomian Center for Applied Mathematics in Hartford, Michigan, who helped us improve English language usage of the initial draft. We are also indebted to the editor and anonymous reviewers of the CEC for their helpful comments and discussions.