Lavaei, Javad and Aghdam, Amir G. (2007) Simultaneous LQ control of a set of LTI systems using constrained generalized sampleddata hold functions. Automatica, 43 (2). pp. 274280. ISSN 00051098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2006.08.013
Abstract
In this paper, sampleddata control of a set of continuoustime LTI systems is considered. It is assumed that a predefined guaranteed continuoustime quadratic cost function, which is, in fact, the sum of the performance indices for all systems, is given. The main objective here is to design a decentralized periodic output feedback controller with a prespecified form, e.g., polynomial, piecewise constant, exponential, etc., which minimizes the above mentioned guaranteed cost function. This problem is first formulated as a set of matrix inequalities, and then by using a wellknown technique, it is reformulated as a LMI problem. The set of linear matrix inequalities obtained provides necessary and sufficient conditions for the existence of a decentralized optimal simultaneous stabilizing controller with the prespecified form (rather than a general form). Moreover, an algorithm is presented to solve the resultant LMI problem. Finally, the efficiency of the proposed method is demonstrated in two numerical examples.
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:  2007 
Digital Object Identifier (DOI):  10.1016/j.automatica.2006.08.013 
Keywords:  Simultaneous stabilization; H2 optimal control; Generalized sampleddata hold function; Decentralized; LMI 
ID Code:  975164 
Deposited By:  DANIELLE DENNIE 
Deposited On:  22 Jan 2013 13:45 
Last Modified:  18 Jan 2018 17:39 
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