Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity

Péter Baranyi, Yeung Yam

Research output: Contribution to journalArticle

26 Citations (Scopus)


The main objective of this paper is to study and validate the effectiveness of the tensor-product (TP)-model transformation in a state-dependent nonlinear controller design for a prototypical aeroelastic system that exhibits a variety of control phenomena such as limit cycle oscillation, flutter, and even chaotic vibrations. In this paper, the TP-model transformation is applied to transform the identified analytic model of the prototypical aeroelastic system to TP-model form whereupon linear matrix inequality-based controller-design theorems, within the parallel-distributed-compensation (PDC) frameworks, can be immediately executed. Numerical simulations are used to provide empirical validation of the control results. The effectiveness of the controller design is compared to the former approaches.

Original languageEnglish
Pages (from-to)895-904
Number of pages10
JournalIEEE Transactions on Industrial Electronics
Issue number3
Publication statusPublished - Jun 1 2006



  • Linear matrix inequality (LMI)
  • Model transformation
  • Multiple model
  • Parallel distributed compensation (PDC)
  • Tensor-product (TP)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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