Theis, JulianJulianTheisSeiler, PeterPeterSeilerWerner, HerbertHerbertWerner2019-04-252019-04-252018-05IEEE Transactions on Control Systems Technology 3 (26): 773-784 (2018-05)http://hdl.handle.net/11420/2483A 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.en1063-653620183773784Journal Article10.1109/TCST.2017.2692744Other