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IMA Journal of Mathematical Control and Information Advance Access originally published online on September 14, 2007
IMA Journal of Mathematical Control and Information 2008 25(3):281-296; doi:10.1093/imamci/dnm023
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Design of static and dynamic output feedback controllers through Euler approximate models: uncertain systems with norm-bounded uncertainties

Salim Ibrir{dagger}

Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec H3G 1M8, Canada

{dagger} Email: sibrir{at}encs.concordia.ca

Received on June 19, 2006; Revision received May 23, 2007. Accepted on June 1, 2007

We propose new sufficient linear matrix inequality (LMI) conditions for the stability of uncertain linear systems with static and dynamic output feedbacks. The design of stabilizing controllers is carried out through Euler approximate models where the sampling period appears as a linear variable to be determined. Pole placement is also considered in LMI setting. Examples showing the efficacy of the developed results are presented.

Keywords: static output feedback; observer-based control; linear matrix inequalities (LMIs); system theory.


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