Multiscale stochastic optimal control of hysteretic structures based on wavelet transform and probability density evolution method

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Haylim Chha, Yongbo Peng
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引用次数: 0

Abstract

Purpose

Contemporary stochastic optimal control by synergy of the probability density evolution method (PDEM) and conventional optimal controller exhibits less capability to guarantee economical energy consumption versus control efficacy when non-stationary stochastic excitations drive hysteretic structures. In this regard, a novel multiscale stochastic optimal controller is invented based on the wavelet transform and the PDEM.

Design/methodology/approach

For a representative point, a conventional control law is decomposed into sub-control laws by deploying the multiresolution analysis. Then, the sub-control laws are classified into two generic control laws using resonant and non-resonant bands. Both frequency bands are established by employing actual natural frequency(ies) of structure, making computed efforts depend on actual structural properties and time-frequency effect of non-stationary stochastic excitations. Gain matrices in both bands are then acquired by a probabilistic criterion pertaining to system second-order statistics assessment. A multi-degree-of-freedom hysteretic structure driven by non-stationary and non-Gaussian stochastic ground accelerations is numerically studied, in which three distortion scenarios describing uncertainties in structural properties are considered.

Findings

Time-frequency-dependent gain matrices sophisticatedly address non-stationary stochastic excitations, providing efficient ways to independently suppress vibrations between resonant and non-resonant bands. Wavelet level, natural frequency(ies), and ratio of control forces in both bands influence the scheme’s outcomes. Presented approach outperforms existing approach in ensuring trade-off under uncertainty and randomness in system and excitations.

Originality/value

Presented control law generates control efforts relying upon resonant and non-resonant bands, and deploys actual structural properties. Cost-function weights and probabilistic criterion are promisingly developed, achieving cost-effectiveness of energy demand versus controlled structural performance.

基于小波变换和概率密度演化法的滞回结构多尺度随机优化控制
目的当非稳态随机激励驱动滞后结构时,通过概率密度演化法(PDEM)和传统优化控制器协同作用实现的当代随机优化控制在保证经济能耗和控制效果方面表现出较低的能力。为此,基于小波变换和 PDEM 发明了一种新型多尺度随机优化控制器。然后,利用共振频率带和非共振频率带将子控制法则分为两种通用控制法则。这两个频段都是利用结构的实际固有频率建立的,因此计算工作取决于实际结构特性和非稳态随机激励的时频效应。然后,通过与系统二阶统计评估相关的概率标准来获取两个频段的增益矩阵。对由非稳态和非高斯随机地面加速度驱动的多自由度滞变结构进行了数值研究,其中考虑了描述结构特性不确定性的三种变形情况。两个波段的小波级别、固有频率和控制力比率都会影响方案的结果。所提出的方法在确保系统和激励的不确定性和随机性条件下的权衡方面优于现有方法。原创性/价值所提出的控制法则依靠共振带和非共振带产生控制力,并利用实际结构特性。成本函数权重和概率标准的开发前景广阔,实现了能源需求与受控结构性能的成本效益。
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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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