Abstract The problem of fault identification in hybrid systems is investigated. It is assumed that the hybrid systems under consideration consist of a finite automaton, the set of nonlinear differential equations, and so-called mode activator that coordinates the action of these two parts. To solve the fault identification problem, sliding mode observers are used. The suggested approach for constructing sliding mode observers is based on the reduced order model of the original system. This allows to reduce complexity of sliding mode observers and relax the limitations imposed on the original system. Examples illustrate details of the solution.

中文翻译：

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非线性混合系统中的故障识别

摘要 研究了混合系统中的故障识别问题。假设所考虑的混合系统由有限自动机、非线性微分方程组和协调这两个部分动作的所谓模式激活器组成。为了解决故障识别问题，使用了滑模观测器。构造滑模观测器的建议方法是基于原始系统的降阶模型。这允许降低滑模观测器的复杂性并放宽对原始系统施加的限制。示例说明了解决方案的详细信息。