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研究线性时不变动态系统鲁棒故障检测滤波器设计问题。该问题一般被描述为非凸的双线性矩阵不等式(BMI),通过将BMI中可完全平方的非正定项的上界替代原非正定项,从而转化为一组线性矩阵不等式问题。提出一种叠代的LMI算法用于实现故障检测滤波器的最优设计。
The problem of robust fault detection filter design for linear time invariant dynamic systems is studied. This problem is generally described as a non-convex bilinear matrix inequality (BMI), which transforms to a set of linear matrix inequalities by replacing the original non-positive definite term with the upper bound of the nonpositive positive integer in the BMI. An iterative LMI algorithm is proposed to realize the optimal design of fault detection filter.