Design of Robust Fault Detection Observers for Discrete-time Linear Switched Systems

This work addresses the design of a robust hybrid observer for discrete-time switched linear systems subject to unknown inputs and modeling errors. The observer herein proposed is synthesized, for the case when the active mode is unknown and in the purpose of robust fault detection. We’ll show that a suitable trade-off between the robustness to unknown inputs and sensitivity to faults can be obtained through a H∞ performance index. The latter is optimized using an iterative LMI solution procedure. The efficiency of the proposed approach is illustrated by a numerical example.