A method to reduce the dynamic order of linear parameter-varying (LPV) systems in grid representation is developed in this paper. It approximates balancing and truncation by an oblique projection onto a dominant subspace. The approach is novel in its use of a parameter-varying kernel 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. The method is compared with LPV balancing and truncation for a nonlinear mass-spring-damper system. It is shown to yield similar accuracy, while the required computation time is reduced by a factor of almost 100,000.
|Original language||English (US)|
|Title of host publication||2016 American Control Conference, ACC 2016|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Jul 28 2016|
|Event||2016 American Control Conference, ACC 2016 - Boston, United States|
Duration: Jul 6 2016 → Jul 8 2016
|Name||Proceedings of the American Control Conference|
|Other||2016 American Control Conference, ACC 2016|
|Period||7/6/16 → 7/8/16|
Bibliographical notePublisher Copyright:
© 2016 American Automatic Control Council (AACC).