Mathematical Modeling and Process Control of Distributed Parameter Systems. Case Study: The One-Dimensional Heated Rod

Authors

  • Laurent Simon New Jersey Institute of Technology
  • Norman W. Loney New Jersey Institute of Technology

Abstract

This paper illustrates the integration of applied mathematics and common classical control design techniques to improve the performance of distributed parameter systems. The case study deals with tracking a temperature set-point change at the end of a one-dimensional rod. A set of partial differential equations was first solved using the Laplace transform and was subsequently inverted using the residue theorem. A Proportional-Integral (PI) controller reduced the time constant of the process by 50 and 33% from 1.379.

Author Biographies

Laurent Simon, New Jersey Institute of Technology

Laurent Simon is Assistant Professor of Chemical Engineering at New Jersey Institute of Technology. He graduated from NJIT with a bachelor's degree and obtained his Master and Doctorate degrees from Colorado State University, all in chemical engineering. His current interests are in bioseparations. process modeling. and control.

Norman W. Loney, New Jersey Institute of Technology

Norman W. Loney is Associate Professor of Chemical Engineering at New Jersey Institute of Technology. He has studied chemical engineering at NJIT and applied mathematics at Courant Institute of Mathematical Science. In addition. Dr. Loney has practical experience in process development. process design. and in-plant engineering.

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Published

2003-04-01

Issue

Vol. 37 No. 2 (2003): Spring 2003

Section

Manuscripts