Lavaei, Javad and Aghdam, Amir G. (2010) Performance improvement of robust controllers for polynomially uncertain systems. Automatica, 46 (1). pp. 110115. ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2009.10.007
Abstract
This paper is concerned with the highperformance robust control of discretetime linear timeinvariant (LTI) systems with semialgebraic uncertainty regions. It is assumed that a robustly stabilizing static controller is given whose gain depends polynomially on the uncertain variables. The problem of tuning this parameterdependent gain with respect to a prescribed quadratic cost function is formulated as a sumofsquares (SOS) optimization. This method leads to a nearoptimal controller whose performance is better than that of the initial controller. It is shown that the results derived in the present work encompass the ones obtained in a recent paper. The efficacy of the results is elucidated by an example.
Divisions:  Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering 

Item Type:  Article 
Refereed:  Yes 
Authors:  Lavaei, Javad and Aghdam, Amir G. 
Journal or Publication:  Automatica 
Date:  2010 
Digital Object Identifier (DOI):  10.1016/j.automatica.2009.10.007 
Keywords:  Optimal controller synthesis for systems with uncertainties; Robust control; Convex optimization 
ID Code:  975170 
Deposited By:  DANIELLE DENNIE 
Deposited On:  22 Jan 2013 14:12 
Last Modified:  18 Jan 2018 17:39 
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