Damage Localization and State Space Identification Based on Noisy Observations, H-infinity Estimation Theory and Subspace Methods during Lifetime of Non-Stationary, Mechanical Structures using Ambient Excitation

在最近的研究中，一种新的方法，用于损伤定位和状态识别，称为状态投影估计误差（SP2 E），已被导出的帮助下，基于Krein空间的H ∞估计理论。这种估计理论在结构动力学、损伤定位和状态识别中是未知的。SP2 E中既没有使用平衡方程、物质定律、运动学，也没有使用化学过程模型。相反，它被定义为一个系统的理论识别的黑盒子（逆问题）。它的基础是与耦合状态空间模型（过程模型）有关的多维波波夫函数的因式分解。在这里，斜投影理论上应用，这导致一个明确的损伤指标。原则上，SP2 E方法允许（硬）实时分析。估计误差过程的平均功率（损伤指示器）用于面向应用的损伤定位。这种方法已经在实验室实验中多次得到验证，其中机械结构被环境激励所激励。基于上述非常积极的研究成果，SP2 E新方法在理论和应用上都有一定的发展。基于Krein空间的H ∞估计允许确定性激励和随机激励。环境激励在大型结构的系统和损伤识别中具有优势。噪声观测仅用于SP2 E，因为先验激励知识是不必要的应用多维，面向过程的建模方法。该项目将H ∞理论引入损伤定位和状态空间识别。在这里，除其他主题混合H-2/H-无穷估计方法和平方根方法被认为是。巨大的理论进展，可以预期在这里，因为这些方法是全新的损伤定位和状态空间识别。一个重要的项目细节是SP2 E方法的理论进步及其实验验证。其中，在存在干扰影响以及环境和操作条件的情况下，对损伤定位的质量进行了验证。首先在实验室实验中验证了所发展的理论。以下是在开放研究领域进行的长期实验。 在这里，不断变化的环境条件（如可变激励（风），温度）的影响，以数字识别的结构行为被考虑和研究的框架中的损伤定位。在工业应用方面，实现了大型结构（例如桥梁，风能发电厂）的初步实验。

In recent studies, a new method for damage localisation and state identification, called State Projection Estimation Error (SP2E), has been derived with the help of Krein space based H-infinity estimation theory. This estimation theory is unknown in structural dynamics, damage localisation and state identification. Neither balance equations, material laws, kinematics nor chemical process models are used in SP2E. Instead, it is defined by a system theoretical identification of a black box (inverse problem). Its foundation is the factorization of a multidimensional popov function in connection with a coupled state space model (process model). Here, the oblique projection is applied theoretically, which leads to an explicit damage indicator. In principal, the method SP2E allows (hard) real-time analyses. The average power of an estimation error process (damage indicator) is used application-oriented for damage localisation. This approach has been verified in laboratory experiments multiple times, in which a mechanical structure was excited by ambient excitation. Based on the described very positive research results, the new method SP2E shall be advanced in theory and application. Krein space based H-infinity estimation allows both deterministic and stochastic excitation. Ambient excitation is advantageous in system and damage identification of large-scale structures. Noisy observations are used only in SP2E, because a priori excitation knowledge is unnecessary for the applied multidimensional, process-oriented modelling approach. The intended project introduces H-infinity theory to damage localisation and state space identification. Here, among other topics mixed H-2/H-infinity estimation approaches and Square Root methods are considered. Huge theoretical progress can be expected here, because those approaches are completely new in damage localisation and state space identification. An important project detail is the theoretical advancement of the method SP2E and its experimental validation. Therein the quality of damage localisation is validated in the presence of disturbance influences and environmental and operational conditions. The developed theories are verified in laboratory experiments first. In the following long-term experiments are conducted at open research areas. Here, the continuous influence of changing environmental conditions (e.g. variable excitation (wind), temperature) to numerically identified structural behaviour is taken into account and studied in the frame of damage localisation. In view of industrial applications, preliminary experiments at large-scale structures (e.g. bridges, wind energy plants) are realised.