Abstract
In this article, the problem of fixed-order H 2 controller design for continuous-time polytopic systems is investigated. It is assumed that the uncertain parameters appear in the state space realization of the system. A convex set of fixed-order H 2 controllers is presented by introducing a slack matrix variable which decouples the Lyapunov variables and the controller parameters. Taking advantage of this feature, we can readily design a robust fixed-order controller for a polytopic system with non-common Lyapunov variables. An optimization problem is presented for computing the slack variables using an initial controller selected by the designer. Additionally, to improve the obtained performance, a procedure is provided to reduce the dependency of the method on the initial controller. The design conditions are in terms of solutions to a set of linear matrix inequalities. Numerical examples demonstrate the effectiveness of the proposed approach.
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Recommended by Associate Editor Hamid Reza Karimi under the direction of Editor Ju Hyun Park.
Arash Sadeghzadeh was born in Shiraz, Iran, in 1979. He attended the high school run by NODET (National Organization for Developing Exceptional Talents) and received his B.Sc. in Biomedical Engineering from Amir Kabir University (Tehran Polytechnic). He obtained his M.Sc. degree in Control Engineering from Tehran University in 2003 and his Ph.D. degree in Automatic Control from Tarbiat Modares University in 2010. He is currently an assistant professor at Razi University, Iran. His main research interests include robust control and identification for control.
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Sadeghzadeh, A. Fixed-order H 2 controller design for state space polytopic systems. Int. J. Control Autom. Syst. 12, 316–323 (2014). https://doi.org/10.1007/s12555-013-0256-9
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DOI: https://doi.org/10.1007/s12555-013-0256-9