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Performance improvement of robust controllers for polynomially uncertain systems

Title:

Performance improvement of robust controllers for polynomially uncertain systems

Lavaei, Javad and Aghdam, Amir G. (2010) Performance improvement of robust controllers for polynomially uncertain systems. Automatica, 46 (1). pp. 110-115. 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 high-performance robust control of discrete-time linear time-invariant (LTI) systems with semi-algebraic 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 parameter-dependent gain with respect to a prescribed quadratic cost function is formulated as a sum-of-squares (SOS) optimization. This method leads to a near-optimal 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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