“…Many methodologies and techniques, such as Kalman filter, neural network, expert systems, multi-transform of time data series, Bayesian models and second-order sliding mode observer (Jonghee, Youdan, and Yee-Jin 2009;Li, Ma, and Khorasani 2006;Barua et al 2005;Harrington 1987;Hu, Qiu, and Iyer 2007;Lucas 2001;Davila, Fridman, and Levant 2005), have been proposed and implemented for data acquisition, processing and fusion to detect malfunctions, abnormalities or failures in complex systems. These new techniques play critical roles in expanding human being's capabilities in space exploration, especially, for the attitude and thrust controls of satellite systems (Joshi et al 2007;Crassidis, Markley, and Cheng 2007;Azarnoush and Khorasani 2007;Li, Ma, and Khorasani 2005;Mohammadi, Hashtrudi-Zad, and Khorasani 2007). For example, NASA developed a diagnosis reasoning software (Livingstone) based on a qualitative model; it was tested and applied in the satellites for earth observation.…”