【摘要】 应用 H∞ 控制技术 ,探讨具有不确定输入以及状态时滞系统的鲁棒故障诊断 (FD)问题。以残差对扰动信号 L2 增益体现其对扰动的鲁棒性 ,而以其对故障信号的 L2 增益体现残差对故障信号的灵敏度 ,研究基于状态观测器的 FD系统设计线性矩阵不等式 (L MI)方法 ,给出并证明解存在的条件以及观测器增益矩阵的求解方法。最后通过一个简例说明了算法的有效性更多还原

【Abstract】 Uncertainty and the existence of inherent time-delay are one of the unavailable important behaviors. The robust fault detection (FD) problem for uncertain LTI system with state time-delay is investigated. The robust of residual to unknown input and the sensitivity to fault signal are reflected by L 2-gain. By applying of H ∞ optimization techniques, an LMI approach to design observer-based robust FD system is proposed. The existence condition of identity observer and the solution of observer gain matrix are also given and proved. An numerical example illustrated the usefulness of the proposed method.更多还原