Abbas, Hossam El-Din Mahmoud SeddikHossam El-Din Mahmoud SeddikAbbasWerner, HerbertHerbertWerner2023-02-132023-02-132009Proceedings of the 48th IEEE Conference on Decision and Control (CDC) : held jointly with 2009 28th Chinese Control Conference [(CCC)] ; Shanghai, China, 15 - 18 December 2009 (): 5400823 4298-4303 (2009)http://hdl.handle.net/11420/14811This paper proposes a method for frequency-weighted discrete-time linear parameter varying (LPV) model reduction with bounded rate of parameter variation, using structurally balanced truncation with a priori (non-tight) upper error bounds for each fixed parameter. For systems with both input and output weighting filters, guaranteed stability of the reduced-order model is proved as well as existence of solutions, provided that the full-order model is stable. A technique based on cone complementarity linearization is proposed to solve the associated LMI problem. Application to the model of a gantry robot illustrates the effectiveness of the approach. Moreover, a method is proposed to make the reduced order model suitable for practical LPV controller synthesis. ©2009 IEEE.en0743-1546200942984303IEEETechnikIngenieurwissenschaftenConference Paper10.1109/CDC.2009.5400823Other