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针对基于解析模型的非线性系统故障可诊断问题,提出了一种基于微分几何理论的故障可诊断判断方法.基于相对阶概念,定义了非线性系统的故障特征指数.对于单个故障单个输出的非线性系统,只要满足其故障特征指数小于等于系统的相对阶,就可证明故障是可以通过输出函数进行诊断的,即故障可诊断,并进一步证明了多输出非线性系统多个故障可诊断性的充要条件,同时进行可诊断性验证和数值模拟验证所提方法的有效性.
Aiming at the problem of diagnosable fault of nonlinear system based on analytical model, a fault diagnosis method based on differential geometry theory is proposed. Based on the concept of relative order, the fault characteristic index of nonlinear system is defined. For the single fault output of a single fault Linear system, as long as its failure characteristic index is less than or equal to the relative order of the system, it can be proved that the fault can be diagnosed by the output function, that is, the fault can be diagnosed and the multi-output nonlinear system can be diagnosed Sufficient and necessary conditions, at the same time can be diagnostic and numerical simulation validation of the effectiveness of the proposed method.