Mathematical Problems in Engineering
Volume 6 (2000), Issue 5, Pages 425-437

H2 guaranteed cost control of discrete linear systems

W. Colmenares,1 F. Tadeo,3 E. Granado,2 O. Pérez,2 and F. Del Valle3

1On sabbatical leave at Universidad de Valladolid, Dpto. Ingeniería de Sistemas y Automática, Universidad Simón Bolívar, Centro de Automatización Industrial Apartado 89000, Caracas 1080, Venezuela
2Universidad Simón Bolívar, Dpto. Procesos y Sistemas Apartado 89000, Caracas 1080, Venezuela
3Universidad de Valladolid, Dpto. Ingeniería de Sistemas y Automática 47011 Valladolid, Venezuela

Received 22 December 1999; Revised 24 January 2000

Copyright © 2000 W. Colmenares et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents necessary and sufficient conditions for the existence of a quadratically stabilizing output feedback controller which also assures H2 guaranteed cost performance on a discrete linear uncertain system where the uncertainty is of the norm bounded type. The conditions are presented as a collection of linear matrix inequalities.The solution, however requires a search over a scalar parameter space.