Moment matching based model reduction for LPV state-space models

— We present a novel algorithm for reducing the state dimension, i.e., order, of linear parameter varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable. The input-output behavior of the reduced order model approximates that of the original model. In fact, for input and scheduling sequences of a certain length, the input-output behaviors of the reduced and original model coincide. The proposed method can also be interpreted as a reachability and observability reduction (minimization) procedure for LPV-SS representations with affine dependence.

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: Mert Bastug, Mihály Petreczky, Roland Tóth, Rafael Wisniewski, John Leth, Denis V. Efimov
• Keywords: CDC 2015, Control Systems