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An extended model-based observer for state estimation in nonlinear hysteretic structural systems

机译：非线性滞后结构系统中的州估计扩展模型观测器

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摘要

This paper proposes a model-based observer for state estimation in nonlinear hysteretic structural systems. The observer combines a nonlinear model and response measurements to estimate the complete dynamic response of the structure of interest. The feedback gain of the observer is computed by an iterative algorithm that accounts for the nonlinearity of the system and minimizes the trace of the state error covariance matrix. The main feature of the proposed observer (and its main advantage with respect to existing nonlinear state estimators) is that it is designed to be physically realizable as a nonlinear structural model, which allows the user to benefit from modeling capabilities available in finite element solvers. The performance of the proposed observer is studied in the context of a numerical example consisting of a nonlinear chain model with a Bouc-Wen model of hysteresis subjected to a base motion; the estimation results are compared to those obtained using an unscented Kalman filter. The observer is also validated experimentally using data from a six-story full-scale benchmark wood frame building tested by the NEESWood project at the E-Defense facility in Miki, Japan. The results show the effectiveness of the proposed approach to estimate the dynamic response of large-scale structural systems exhibiting a strong nonlinear behavior.
机译：本文提出了一种基于模型的非线性滞后结构系统估计的观测器。观察者结合了非线性模型和响应测量来估计感兴趣的结构的完整动态响应。观察者的反馈增益是通过迭代算法计算的，该算法考虑了系统的非线性并最小化了状态误差协方差矩阵的轨迹。所提出的观察者（及其主要优点对于现有非线性状态估计器的主要优点）的主要特征是它旨在作为非线性结构模型来物理可实现，这允许用户从有限元求解器中获得的建模能力受益。在由非线性链模型组成的数值示例的上下文中研究了所提出的观察者的性能，该非线性链模型与滞后模型对基础运动进行滞后;将估计结果与使用无味的卡尔曼滤波器获得的估计结果进行比较。 Observer还通过来自日本米基的电子防御设施的Neeswood项目测试的六层全尺寸基准木框架建筑的数据进行了实验验证。结果表明了提出的方法估算了呈现强烈非线性行为的大规模结构系统的动态响应的有效性。

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