Up to present, the problem of the evaluation of fault diagnosability for nonlinear systems has been investigated by many researchers. However, no attempt has been done to evaluate the diagnosability of multiple faults occurring simultaneously for nonlinear systems. This paper proposes a method based on differential geometry theories to solve this problem. Then the evaluation of fault diagnosability for affine nonlinear systems with multiple faults occurring simultaneously is achieved. To deal with the effect of control laws on the evaluation results of fault diagnosability, a design scheme of the evaluation of fault diagnosability is proposed. Then the influence of uncertainties on the evaluation results of fault diagnosability for affine nonlinear systems with multiple faults occurring simultaneously is analyzed. The numerical simulation results are obtained to show the effectiveness of the proposed evaluation scheme of fault diagnosability.

中文翻译：

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多故障同时发生的非线性不确定系统的故障诊断性评价

迄今为止，许多研究人员对非线性系统的故障可诊断性评价问题进行了研究。然而，尚未尝试评估非线性系统同时发生的多个故障的可诊断性。本文提出了一种基于微分几何理论的方法来解决这个问题。进而实现了多个故障同时发生的仿射非线性系统的故障诊断性评价。针对控制律对故障可诊断性评价结果的影响，提出了一种故障可诊断性评价设计方案。然后分析了不确定性对多故障同时发生的仿射非线性系统故障可诊断性评价结果的影响。