Mathematical Problems in Engineering 
Volume 6 (2000), Issue 5, Pages 425-437
doi:10.1155/S1024123X00001411

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

Abstract

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.