L∞Interval Observers Design for Actuator Fault Detection of Discrete-Time Linear Switched Systems

Abstract

This paper deals with fault detection for discrete-time linear switched systems affected by actuator fault, additive disturbances and measurement noises. In order to improve the accuracy and to attenuate the effects of the unknown but bounded uncertainties, L∞ performance residual framer gains are computed by solving Linear Matrix Inequalities (LMI) which are formulated based on multiple quadratic Lyapunov functions under an average dwell time condition. © 2021 IEEE.