Robust Fault Detection Based-Observer for Linear Switched Systems

This paper deals with the design of a robust hybrid observer for switched linear systems with unknown inputs and modeling error. The proposed observer is synthesized for the task of robust fault detection and concerns the case when the active mode is unknown. The basic idea of our approach is to formulate the design of the robust fault detection observer as a H∞ model-matching problem. Then, some results of H∞ optimization are exploited and an LMI solution procedure is proposed to synthesize the desired robust observer.