PID CONTROLLER DESIGN FOR A ONE-DIMENSIONAL HEATED ROD USING ORTHOGONAL COLLOCATION
DOI:
https://doi.org/10.4314/njt.374.1863Keywords:
Distributed parameter system, heat conduction, partial differential equation, early lumping, orthogonal collocation, PID controller design, Closed loop simulation.Abstract
This paper presents the design of PID-type controllers for a one-dimensional, distributed heat conduction system starting from the parabolic partial differential equation modelling the system. The partial differential equation modelling the system was lumped using the orthogonal collocation method resulting in third-order lumped model. This lumped model was then used for the controller design based on a method of PID controller design previously developed for higher-order systems by the authors. The results of closed-loop simulations demonstrate the superior performance of the PID-type controllers so designed. The approach presented is quite general and may be used to carry out PID-type controller designs for other single-input, single-output distributed parameter systems.
Downloads
Published
Issue
Section
License
The contents of the articles are the sole opinion of the author(s) and not of NIJOTECH.
NIJOTECH allows open access for distribution of the published articles in any media so long as whole (not part) of articles are distributed.
A copyright and statement of originality documents will need to be filled out clearly and signed prior to publication of an accepted article. The Copyright form can be downloaded from http://nijotech.com/downloads/COPYRIGHT%20FORM.pdf while the Statement of Originality is in http://nijotech.com/downloads/Statement%20of%20Originality.pdf
For articles that were developed from funded research, a clear acknowledgement of such support should be mentioned in the article with relevant references. Authors are expected to provide complete information on the sponsorship and intellectual property rights of the article together with all exceptions.
It is forbidden to publish the same research report in more than one journal.