2017/03/10 by Ziad Alkhoury, Alkhoury, Ziad, Mihály Petreczky +3
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #Fault Detection and Control Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1703.03679
openalex publication_date 2017/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that in general, frozen equivalent (Linear Parameter-Varying) LPV models, i.e., LPV models which have the same input-output behavior for each constant scheduling signal, might exhibit different input-output behavior for non-constant scheduling signals. In this paper, we provide an analytic error bound on the difference between the input-output behaviors of two LPV models which are frozen equivalent. This error bound turns out to be a function of both the speed of the change of the scheduling signal and the discrepancy between the coherent bases of the two LPV models. In particular, the difference between the outputs of the two models can be made arbitrarily small by choosing a scheduling signal which changes slowly enough. An illustrative example is presented to show that the choice of the scheduling signal can reduce the difference between the input-output behaviors of frozen-equivalent LPV models.