A. Oveisi, Umaaran Gogilan, J. Keighobadi, Tamara Nestorović
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引用次数: 0
摘要
鉴于振动结构的复杂行为,其可靠建模在振动控制的分析和系统设计中起着至关重要的作用。本文对反向路径 (RP) 方法进行了重新审视、进一步开发,并将其应用于非线性系统建模,特别是在识别标称基础线性系统的频率响应函数和确定结构非线性方面。本方法旨在克服在运行过程中始终测量所有非线性系统状态的要求。特别是在大规模系统中,这可能是一项繁琐的任务,而且往往在实践中是不可行的,因为这需要为设计过程中涉及的每个状态分配单独的传感器。此外,大量传感器的正确放置和同时运行也是一大难题。为了克服这些问题,我们提出了根据可观测性标准进行状态估计的方法,这大大减少了所需传感器元件的数量。为此,依靠传感器的最佳布置问题,状态估计过程简化为卡尔曼滤波的求解过程。在此基础上,本文提出的基于观测器的条件 RP 方法(OBCRP)可以解决大规模系统的非线性系统识别问题。与经典的 RP 方法相比,目前的方法可以处理局部和分布式非线性问题。此外,除了状态估计,与正交 RP 方法相比,本文还引入了一种新的频率加权法,从而实现了卓越的非线性系统识别性能。本文在一个多自由度离散块状质量系统上演示了该方法的实施,该系统是用于模型参数识别的物理对应物的替代模型。
State Observer-Based Conditioned Reverse-Path Method for Nonlinear System Identification
In light of the complex behavior of vibrating structures, their reliable modeling plays a crucial role in the analysis and system design for vibration control. In this paper, the reverse-path (RP) method is revisited, further developed, and applied to modeling a nonlinear system, particularly with respect to the identification of the frequency response function for a nominal underlying linear system and the determination of the structural nonlinearities. The present approach aims to overcome the requirement for measuring all nonlinear system states all the time during operation. Especially in large-scale systems, this might be a tedious task and often practically infeasible since it would require having individual sensors assigned for each state involved in the design process. In addition, the proper placement and simultaneous operation of a large number of transducers would represent further difficulty. To overcome those issues, we have proposed state estimation in light of the observability criteria, which significantly reduces the number of required sensor elements. To this end, relying on the optimal sensor placement problem, the state estimation process reduces to the solution of Kalman filtering. On this ground, the problem of nonlinear system identification for large-scale systems can be addressed using the observer-based conditioned RP method (OBCRP) proposed in this paper. In contrast to the classical RP method, the current one can potentially handle local and distributed nonlinearities. Moreover, in addition to the state estimation and in comparison to the orthogonal RP method, a new frequency-dependent weighting is introduced in this paper, which results in superior nonlinear system identification performances. Implementation of the method is demonstrated on a multi-degree-of-freedom discretized lumped mass system, representing a substitute model of a physical counterpart used for the identification of the model parameters.
期刊介绍:
Actuators (ISSN 2076-0825; CODEN: ACTUC3) is an international open access journal on the science and technology of actuators and control systems published quarterly online by MDPI.