Fault Detection for Systems With Model Uncertainty and Disturbance via Coprime Factorization and Gap Metric
研究了同时存在模型不确定性和外部扰动的系统的故障检测问题，提出了基于观测器的故障检测方案，并利用间隙度量技术分析了故障可检测性，通过小车动态系统案例验证了有效性。
The fault detection (FD) problem for systems with both model uncertainty and external disturbance is investigated in this article. First, the mathematical models of systems with model uncertainty and disturbance, systems with additive faults, and systems with multiplicative faults are established with both left and right coprime factorization. Then, an observer-based FD scheme is proposed and the FD thresholds are derived for both open-loop and closed-loop manners. The necessary conditions on multiplicative FD are obtained and the fault detectability analyses are carried out with the aid of the gap metric technique. Finally, the effectiveness of the proposed method is illustrated by a case study on a cart dynamic system.