Interval Set-Membership State Estimator for Discrete-Time LPV Systems

This publication is devoted to the design of an interval-based set-membership state estimator that can be applied to totally observable linear parameter-varying (LPV) systems. Hereto, a set-inversion procedure to determine state intervals that are consistent with a sequence of input and output values as well as two intersections with predicted values are used to reduce the pessimism of interval arithmetic. A numerical example illustrates the performance of the method. The benefit of this method is that it provides an a priori known accuracy of the result based on the assumption of unknown but bounded uncertainties.