I. Introduction
The fault tolerant control systems have been of interest to a lot of researchers over the past decades where the observers of the fault detection and diagnosis are main part of the fault tolerant control. For example, an extension of Luenberger observer, proportional and integral (PI) observers had attracted much attention during the past three decades. By assuming unknown disturbances to be constant, PI observers were studied in [1], , [3]. A robust (proportional, multiple-integral and derivative) PMID observer is designed to simultaneously estimate system states, fault signals, the derivatives of the faults, and attenuate disturbances successfully in [4]. A lot of FTC strategies rely on the observers for the fault detection and diagnosis. For a more detailed survey read [5], , , , , , [11].