By Topic

Fast time-response algorithm for heat conduction feedback systems using IMN approximants

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Suchin Arunsawatwong ; Control Systems Research Laboratory, Department of Electrical Engineering, Chulalongkorn University, Bangkok 10330, Thailand ; Kornkanok Ngamsiritanakul

This paper develops a numerical algorithm for calculating the time-responses of a linear feedback system comprising a finite dimensional controller and a distributed-parameter plant described by a heat conduction equation. By approximating the spatial derivatives of the heat equation with finite differences, the feedback system is represented as a large system of linear differential-algebraic equations (DAEs). The IMN recursions, which are suitable for stiff differential equations, are employed in solving such DAEs. The sparse structure in the associated linear algebraic equations is exploited by developing a special LU-factorization scheme. It is found that the algorithm with the new LU-factorization scheme requires only O(ncirc) arithmetic operations where ncirc is the systempsilas dimension, as opposed to O(ncirc2) when there is no sparsity exploitation. Hence, substantial computational economy is further achieved.

Published in:

Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2008. ECTI-CON 2008. 5th International Conference on  (Volume:2 )

Date of Conference:

14-17 May 2008