A stable fault detection observer design

This paper addresses the problem of the stable fault detection observer design by using worst-case fault sensitivity, the H_- index. By introducing several slack variables, new stable conditions and new H_- index fault sensitivity conditions are derived to develop a direct LMI optimizing algorithm. By constraining the slack variable matrices, we obtain a new design approach to designing stable fault detection observer in the form of LMIs, which avoid iterative LMI algorithm. The effectiveness of proposed approaches is demonstrated by numerical examples.