TP model transformation as a manipulation tool for QLPV analysis and design

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Abstract

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.

Original languageEnglish
Pages (from-to)497-507
Number of pages11
JournalAsian Journal of Control
Volume17
Issue number2
DOIs
Publication statusPublished - Mar 1 2015

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Keywords

  • TP model transformation
  • linear matrix inequality based design
  • qLPV and polytopic system based control design

ASJC Scopus subject areas

  • Control and Systems Engineering

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