基于H∞理论的中立型时滞系统鲁棒故障检测
来源期刊：中南大学学报(自然科学版)2006年第1期
论文作者：张登峰 孙宇 王执铨 胡寿松
文章页码：130 - 134
关键词：中立型时滞系统;故障检测;鲁棒H∞观测器;线性矩阵不等式
Key words：neutral time-delay systems; fault detection; robust H∞observer; linear matrix inequality
摘 要：基于观测器方法研究了一类具有不确定扰动的中立型时滞系统的鲁棒故障检测问题。应用H∞控制理论给出了带记忆观测器的鲁棒渐近稳定条件,并研究了基于线性矩阵不等式的观测器增益阵设计方法。利用所设计的故障检测观测器可使获得的故障检测残差在对不确定扰动具有抑制水平γ的同时,对故障信号具有L2增益ρ,从而体现了残差对不确定扰动的鲁棒性和对故障信号响应的灵敏度。仿真算例表明,运用该方法进行鲁棒故障检测是有效的。
Abstract: The problem of observer-based robust fault detection for a class of neutral time-delay systems with uncertain disturbances was studied. The asymptotically stable condition for robust and the design of memory observer were developed based on H∞control theory. An linear matrix inequality approach was used to solve the gain matrix. The designed fault detection observer guarantees the restraining levelγand the L2 gain ρ of residuals to disturbances and fault signals respectively. Thus it implies the robustness of residuals to disturbances and sensitivity to faults.Simulative example illustrates the validity of the proposed method.
