Abstract

We present the design of H-infinity and H-2 gain-scheduled fault-accommodation controllers for discrete-time Linear Parameter Varying systems. We design our conditions as Bilinear Matrix Inequalities, assuming that the scheduled parameters are imprecise, which is a commonly found characteristic of practical applications that happens due to measurement noise and inaccuracy on its estimation/acquisition procedure. The proposed solution is based on the use of a multisimplex approach for solving the main conditions, which guarantees the stability of the system under imprecise measurements on the scheduling parameters. The efficacy of the proposed approach is illustrated with a numerical example. Copyright (C) 2021 The Authors.