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针对非线性不确定差分一代数系统(DAS),提出了一种基于线性矩阵不等式(LMI)的故障诊断方法.该方法首先利用已知的DAS标称模型构造一个由差分方程和代数方程组成的辅助系统,然后基于状态差值与差分方程中的故障以及约束输出差值与代数方程中的故障之间的关系,将故障辨识问题转化为参数估计问题,最后利用LMI方法对故障进行在线辨识.仿真结果表明了该方法的有效性.
In this paper, a fault diagnosis method based on linear matrix inequality (LMI) is proposed for nonlinear uncertain differential-algebraic system (DAS). Firstly, a differential equation and an algebraic equation are constructed by using the known DAS nominal model Then, the fault identification problem is transformed into the parameter estimation problem based on the relationship between the fault in the state difference and the difference equation and the difference between the constraint output difference and the algebraic equation. Finally, the fault is identified online by LMI method. Simulation results show the effectiveness of the method.