LPV Model Order Reduction by Parameter-Varying Oblique Projection

Julian Theis, Peter J Seiler Jr, Herbert Werner

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A method to reduce the dynamic order of linear parameter-varying (LPV) systems in grid representation is developed in this paper. It consists of an oblique projection and is novel in its use of a parameter-varying nullspace to define the direction of this projection. Parameter-varying state transformations in general lead to parameter rate dependence in the model. The proposed projection avoids this dependence and maintains a consistent state space basis for the reduced-order system. This extension of the projection framework lends itself very naturally to balanced truncation and related approaches that employ Gramian-based information to quantify the importance of subspaces. The proposed method is first compared to LPV balancing and truncation on a numerical example and then used to approximate two LPV systems: the longitudinal dynamics model of an aeroservoelastic unmanned aerial vehicle and the far wake model of a wind turbine.

Original languageEnglish (US)
Pages (from-to)773-784
Number of pages12
JournalIEEE Transactions on Control Systems Technology
Volume26
Issue number3
DOIs
StatePublished - May 1 2018

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Unmanned aerial vehicles (UAV)
Wind turbines
Dynamic models

Keywords

  • Linear parameter-varying (LPV) systems
  • model order reduction

Cite this

LPV Model Order Reduction by Parameter-Varying Oblique Projection. / Theis, Julian; Seiler Jr, Peter J; Werner, Herbert.

In: IEEE Transactions on Control Systems Technology, Vol. 26, No. 3, 01.05.2018, p. 773-784.

Research output: Contribution to journalArticle

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