Publisher DOI: 10.1109/TCST.2017.2692744
Title: LPV Model Order Reduction by Parameter-Varying Oblique Projection
Language: English
Authors: Theis, Julian  
Seiler, Peter 
Werner, Herbert 
Issue Date: May-2018
Source: IEEE Transactions on Control Systems Technology 3 (26): 773-784 (2018-05)
Journal or Series Name: IEEE Transactions on Control Systems Technology 
Abstract (english): 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.
URI: http://hdl.handle.net/11420/2483
ISSN: 1063-6536
Institute: Regelungstechnik E-14 
Type: (wissenschaftlicher) Artikel
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