TP Model Transformation as a Manipulation Tool for QLPV Analysis and Design

Baranyi, Péter Zoltán (2015) TP Model Transformation as a Manipulation Tool for QLPV Analysis and Design. ASIAN JOURNAL OF CONTROL, 17 (2). pp. 497-507. ISSN 1561-8625 10.1002/asjc.1092

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The main motivation of the TP model transformation is that modern identification and control analysis, along with design methodologies, are based on various kinds of different representations that have different benefits and drawbacks in terms of identification and modeling effort and structure, however, the link between these representations is in many cases difficult to establish, especially if the model components are not given by closed formulae but rather by various soft-computing-based or black box models. This paper shows that the TP model transformation can serve as a gateway between different representations by bridging to a widely adopted polytopic representation. Further, it is capable of readily manipulating the resulting polytopic representation for further design requirements, which in many cases has a strong effect on the resulting control performance and the conservativeness of the solution. The paper discusses how the TP model transformation can be used as a final step of modeling and, at the same time, as a preprocessing step in polytopic model based design approaches. The paper introduces the generalized TP model transformation, which is a tractable, non-heuristic numerical tool that can be executed on sets of functions. Different manipulation techniques are investigated to show the benefits of the generalized TP model transformation. Finally, a stability verification technique is proposed for cases where system components are available in different representations. © 2015 Chinese Automatic Control Society and Wiley Publishing Asia Pty Ltd.

Item Type: Article
Uncontrolled Keywords: Linear transformations; Pre-processing step; Polytopic representations; Polytopic modeling; model transformation; Manipulation tools; Manipulation techniques; Control performance; Control design; soft computing; Mathematical transformations; Linear matrix inequalities; Identification (control systems); DESIGN; TP model transformation; qLPV and polytopic system based control design; linear matrix inequality based design
Subjects: Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions: 3D Internet-based Control and Communications Laboratory
SWORD Depositor: MTMT Injector
Depositing User: MTMT Injector
Date Deposited: 05 Feb 2016 21:21
Last Modified: 05 Feb 2016 21:21

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