An LMI approach to H _ index and mixed H _/H infinity fault detection observer design

作者：Wang Jian Liang^*; Yang Guang Hong; Liu Jian

来源：Automatica, 2007, 43(9): 1656-1665.

DOI：10.1016/j.automatica.2007.02.019

• H_ index
• minimum singular value
• minimum sensitivity
• fault detection

Using the newly developed worst-case fault sensitivity measure, the H(-) index, and the well-known worst-case robustness measure, the H(infinity) norm, this paper addresses the problem of H(-) index fault detection observer design and multiobjective H(-)/H(infinity) fault detection observer design problems. Necessary and sufficient conditions for the existence of such a fault detection observer are given in terms of matrix inequalities. Both infinite frequency range case [0, infinity) and finite frequency range case [0, (omega) over bar) are considered. Iterative linear matrix inequality (ILMI) algorithms are given to obtain the solutions. The effectiveness of the proposed approaches is shown by numerical examples.

• 出版日期2007-9
• 单位南阳理工学院; 东北大学