Interval observer for LPV systems based on time-variant transformations

Stefan Krebs, Martin Pfeifer, Sebastian Fugel, Jörg Weigold, Sören Hohmann · 2016

Interval observers are emerging methods for the state estimation of dynamical systems, especially if guaranteed error bounds are of interest as in the case of safety-critical systems. One class of systems that is of particular interest for real applications are LPV systems but so far, only a few approaches for interval observers for LPV systems have been proposed. In this paper, we extend the class of LPV systems for which interval observers can be designed under real operating conditions. We propose an interval observer that is based on a particular time-variant change of coordinates. The behavior of the presented interval approach is shown by numerical simulations of an induction machine.

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