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Vol: 54(68) No: 4 / December 2009 

Polytopic Model Reconstruction of a Pneumatic Positioning System
Patricia Gróf
Budapest University of Technology, Department of Mechatronics, Optics and Information Engineering, Budapest, Hungary, e-mail: grof.patricia@gmail.com
Béla Takarics
Budapest University of Technology, Department of Mechatronics, Optics and Information Engineering, Budapest, Hungary
Zoltán Petres
Hungarian Academy of Sciences, Computer and Automation Research Institute, Cognitive Informatics Group, Budapest, Hungary, e-mail: petres@sztaki.hu
János Gyeviki
University of Szeged, Department of Technical and Process Engineering, Szeged, Hungary, e-mail: gyeviki@szef.u-szeged.hu


Keywords: Tensor Product Model Transformation, pneumatic positioning

Abstract
The main contribution of this paper to develop a mathematical model which describes the movement of a piston of pneumatic cylinder controlled by a proportional valve, keeping the non linear behavior of pneumatic system. The Linear Parameter Varying (LPV) representations and Linear Matrix Inequality (LMI) based analysis and system control design are in the focus of modern control theories.

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