Reduced LMIs for fixed-order polynomial controller design

0106317 - UTIA-B 20040129 RIV BE eng C - Conference Paper (international conference)
Henrion, Didier - Hansson, A. - Wallin, R.
Reduced LMIs for fixed-order polynomial controller design.
[Redukovane LMI pro navrh regulatoru pevneho radu.]
Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems. Leuven: Katholieke Universiteit, 2004 - (de Moor, B.; Motmans, B.; Willems, J.), s. 1-12. ISBN 90-5682-517-8.
[MTNS 2004 /16./. Leuven (BE), 05.07.2004-09.07.2004]
R&D Projects: GA ČR GA102/02/0709
Institutional research plan: CEZ:AV0Z1075907
Keywords : linear systems * fixed-order controller * linear matrix inequalities (LMI)
Subject RIV: BC - Control Systems Theory

A reduction procedure based on semidefinite programming duality is applied to LMI conditions for fixed-order scalar linear controller design in the polynomial framework. It is namely shown that the number of variables in the reduced design LMI is equal to the diference between the open-loop plant order and the desired controller order. A standard linear system of equations must then be solved to retrieve controller parameters.

Redukcni proces zalozeny na dualite semidefinitniho programovani je aplikovany na LMI podminky pro regulator pevneho radu v ramci polynomialniho pristupu. Reseni vede na standardni ulohu soustavy linearnich rovnic
Permanent Link: http://hdl.handle.net/11104/0013499