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Performance improvement of robust controllers for polynomially uncertain systems


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


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
Authors:Lavaei, Javad and Aghdam, Amir G.
Journal or Publication:Automatica
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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