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提出一种基于观测器的故障检测滤波器的非凸多目标优化设计方法.针对线性时不变动态系统,构建一个由输出观测器和后滤波器组成的故障检测滤波器,将其残差动态特性描述为非凸的双线性矩阵不等式形式.利用双线性矩阵不等式中可完全平方非正定项的上界替代原非正定项,将双线性矩阵不等式转化为一组线性矩阵不等式,进而获得多目标优化问题的可解条件以及观测器增益与后滤波器矩阵的求解方法.仿真算例说明了算法的有效性.
A non-convex multi-objective optimization design method of observer-based fault detection filter is proposed. For a linear time-invariant dynamic system, a fault detection filter composed of an output observer and a post-filter is constructed. The residual dynamic The properties are described as non-convex forms of bilinear matrix inequalities.By substituting the upper indeterminate polynomials of bilinear matrix inequalities, the bilinear matrix inequalities can be transformed into a set of linear matrix inequalities The solvable condition and the gain of the observer and the solution of the post-filter matrix are obtained.The simulation results show the effectiveness of the algorithm.