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H-/H-infinity structural damage detection filter design using an iterative linear matrix inequality approach

机译:使用迭代线性矩阵不等式方法的H- / H-无限结构损伤检测滤波器设计

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摘要

The existence of damage in different members of a structure can be posed as a fault detection problem. It is also necessary to isolate structural members in which damage exists, which can be posed as a fault isolation problem. It is also important to detect the time instants of occurrence of the faults/damage. The structural damage detection filter developed in this paper is a model-based fault detection and isolation (FDI) observer suitable for detecting and isolating structural damage. In systems, possible faults, disturbances and noise are coupled together. When system disturbances and sensor noise cannot be decoupled from faults/damage, the detection filter needs to be designed to be robust to disturbances as well as sensitive to faults/damage. In this paper, a new H-/H-infinity and iterative linear matrix inequality (LMI) technique is developed and a new stabilizing FDI filter is proposed, which bounds the H infinity norm of the transfer function from disturbances to the output residual and simultaneously does not degrade the component of the output residual due to damage. The reduced-order error dynamic system is adopted to form bilinear matrix inequalities (BMIs), then an iterative LMI algorithm is developed to solve the BMIs. The numerical example and experimental verification demonstrate that the proposed algorithm can successfully detect and isolate structural damage in the presence of measurement noise.
机译:可以将结构不同成员中损坏的存在作为故障检测问题。还必须隔离其中存在损坏的结构构件,这可能会构成故障隔离问题。检测故障/损坏发生的时刻也很重要。本文开发的结构损伤检测过滤器是适用于检测和隔离结构损伤的基于模型的故障检测和隔离(FDI)观察器。在系统中,可能的故障,干扰和噪声耦合在一起。当无法将系统干扰和传感器噪声与故障/损坏脱钩时,需要将检测滤波器设计为对干扰稳定并且对故障/损坏敏感。本文研究了一种新的H- / H-无限和迭代线性矩阵不等式(LMI)技术,并提出了一种新的稳定FDI滤波器,该滤波器将扰动传递函数的H无限范数界定为输出无穷大,同时不会由于损坏而降低输出残差的分量。采用降阶误差动态系统形成双线性矩阵不等式(BMI),然后开发了迭代LMI算法来求解BMI。数值算例和实验验证表明,所提出的算法能够在存在测量噪声的情况下成功地检测和隔离结构损伤。

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