International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL
Foz do Iguassu, Brazil October 17th - 19th, 2007
| International Federation of Automatic Control | |
Session WE1: Algebraic MethodsChair: Nicos Karcanias - United Kingdom Co-chair: Petr Husek - Czech Republic Room: Assunção 2007-10-17 From 16:00 to 18:00 | |
| An Algebraic Approach to the Control of Spatially Distributed Systems - the 2-D Systems Case with a Physical Application Petr Augusta; Zdenek Hurak; Eric Rogers Contact: Petr Augusta - Czech Republic | |
| 16:00-16:20 | |
| Abstract: | |
| In this paper, a new approach to computational design of a control system for spatially distributed shift-invariant linear systems is presented that is based on algebraic manipulation with polynomials. The basic ideas are explained using an example of a heat conduction in a long (enough) rod. An array of sensors and heaters is supposed along the rod. Such a system is described by a 2D transfer function, that is, fraction of two bivariate polynomials. Stability conditions are given, Youla-Kucera parametrisation of all stabilising controllers is applied and a simple design procedure for H2-optimal controllers is proposed. Copyright © 2007 IFAC. | |