Title: Strong stabilisation: an LMI approach

Authors: Abdul-Wahid A. Saif

Addresses: King Fahd University of Petroleum and Minerals, Department of Systems Engineering, P.O.Box 1626, Dhahran 31261, Saudi Arabia

Abstract: In this paper, the Strong Stabilisation Problem (StSP) of proper and non-minimum phase linear time-invariant systems is considered. The formulation of the problem resulted in a sufficient condition in a form of Linear Matrix Inequality (LMI) which will be solved using MATLAB LMI Toolbox. A necessary and sufficient condition is given in a form of Quadratic Matrix Inequality (QMI).

Keywords: strong stabilisation; stable controllers; linear matrix inequality; LMI; quadratic matrix inequality; linear time-invariant systems.

DOI: 10.1504/IJMIC.2007.014321

International Journal of Modelling, Identification and Control, 2007 Vol.2 No.1, pp.3 - 8

Published online: 01 Jul 2007 *

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