Nonlinear signal-based control with an error feedback action for nonlinear substructuring control
Nonlinear signal-based control with an error feedback action for nonlinear substructuring control
复制标题
基于非线性信号的控制，具有非线性子结构控制的误差反馈作用
DOI：
10.1016/j.jsv.2016.09.023
复制
发表时间：
2017
影响因子：
4.7
通讯作者：
K. Kajiwara
中科院分区：
文献类型：
--
作者：
R. Enokida;K. Kajiwara
一种基于非线性信号的控制(NSBC)方法利用了在相同输入信号下从受控系统及其线性模型的输出获得的“非线性信号”。虽然这种方法已经在非线性系统的数值模拟中得到了检验，但它在物理实验中的应用还没有得到研究。本文研究了NSBC在物理实验中的应用，并在该方法中加入了误差反馈作用，使误差最小，提高了实际应用的可行性。针对子结构试验方法中的非线性子结构控制问题，提出了一种更一般形式的线性子结构控制方法--非线性子结构控制(NLSC)。在试验中，尽管子结构中存在明显的非线性滞后和未知参数，NLSC还是成功地获得了准确的结果。NLSC中的非线性信号反馈作用对于减小由被控系统的非线性或未知特性引起的误差具有显著的效果。此外，NLSC中的误差反馈作用被发现是维持稳定所必需的。基于Nyquist判据的稳定性分析，特别适用于线性系统，对于预测NLSC子结构试验的不稳定条件也是有效的，对于误差反馈控制器的设计也是有用的。
A nonlinear signal-based control (NSBC) method utilises the ‘nonlinear signal’ that is obtained from the outputs of a controlled system and its linear model under the same input signal. Although this method has been examined in numerical simulations of nonlinear systems, its application in physical experiments has not been studied. In this paper, we study an application of NSBC in physical experiments and incorporate an error feedback action into the method to minimise the error and enhance the feasibility in practice. Focusing on NSBC in substructure testing methods, we propose nonlinear substructuring control (NLSC), that is a more general form of linear substructuring control (LSC) developed for dynamical substructured systems.In this study, we experimentally and numerically verified the proposed NLSC via substructuring tests on a rubber bearing used in base-isolated structures. In the examinations, NLSC succeeded in gaining accurate results despite significant nonlinear hysteresis and unknown parameters in the substructures. The nonlinear signal feedback action in NLSC was found to be notably effective in minimising the error caused by nonlinearity or unknown properties in the controlled system. In addition, the error feedback action in NLSC was found to be essential for maintaining stability. A stability analysis based on the Nyquist criterion, which is used particularly for linear systems, was also found to be efficient for predicting the instability conditions of substructuring tests with NLSC and useful for the error feedback controller design.