为了调查柔韧的差错察觉(讨论请求) ,为线性不明确的系统, H t_ 索引和 H 标准的观察员设计被用来把这个观察员图案描述为优化问题。为如此的一个差错察觉观察员的存在的条件以矩阵不平等被给。答案被新反复的线性矩阵不平等(ILMI ) 获得算法。在 D f 没为一个系统在有完整的列等级的有限频率范围上的讨论请求观察员设计也被考虑。数字例子证明设计差错察觉观察员有高敏感到差错和强壮的坚韧性到未知输入。
To investigate the robust fault detection (RFD) observer design for linear uncertain systems, the H_index and H∞ norm are used to describe this observer design as optimization problems. Conditions for the existence of such a fault detection observer are given in terms of matrix inequalities. The solution is obtained by new iterative linear matrix inequality (ILMI) algorithms. The RFD observer design over finite frequency range in which Of does not have full column rank for a system is also considered. Numerical example demonstrates that the designed fault detection observer has high sensitivity to the fault and strong robustness to the unknown input.