Stability of nonlinear signal‐based control for nonlinear structural systems with a pure time delay
Stability of nonlinear signal‐based control for nonlinear structural systems with a pure time delay
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DOI：
10.1002/stc.2365
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发表时间：
2019-05
影响因子：
5.4
通讯作者：
R. Enokida
中科院分区：
文献类型：
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作者：
R. Enokida
基于非线性信号的控制（NSBC）最近被开发用于非线性结构系统。 NSBC 在结构系统中表现出很高的跟踪性能，在控制实践中显示参数变化。这种控制方法对于子结构实验也很有效，子结构实验是一种基于物理实验和数值模拟之间实时交互的先进技术。 NSBC 允许控制器设计基于经典控制理论，控制器由传递函数表示。在不失去这一优点的情况下，本研究提出采用奈奎斯特稳定性准则（也属于经典稳定性理论）来分析非线性结构系统和纯时滞的 NSBC 稳定性。然后，本研究建立了将非线性视为与受控系统线性模型相关的参数变化的稳定性分析。通过对各种具有纯时滞的非线性单自由度和多自由度（S/MDOF）系统的数控实践，检验了稳定性分析的效率和实用性。在检查中，受控系统是具有不同类型非线性弹簧的非线性单自由度和二维系统。在数值模拟中，NSBC 的两种控制实践（即带或不带误差反馈作用的非线性信号反馈作用）提供了接近 100% 精度的出色控制。 NSBC稳定性分析准确地提供了纯时滞非线性控制系统的稳定性条件。
Nonlinear signal‐based control (NSBC) has recently been developed for nonlinear structural systems. NSBC shows high tracking performance in structural systems that display parameter variations during control practice. This control approach is also efficient for substructuring experimentation, an advanced technique based on real‐time interaction between physical experiments and numerical simulations. NSBC allows controller design to be based on classical control theory, with the controllers expressed by transfer functions. Without losing this benefit, this study proposes to analyse the stability of NSBC for nonlinear structural systems and a pure time delay by employing the Nyquist stability criterion, which is also classified into classical stability theory. Then stability analysis that regards the nonlinearity as a parameter variation associated with the linear model of the controlled system has been established in this study. The efficiency and practicality of the stability analysis are examined via numerical control practices for various nonlinear single‐ and multiple‐degree‐of‐freedom (S/MDOF) systems having pure time delay. In the examination, the controlled systems are nonlinear SDOF and 2DOF systems with different types of nonlinear springs. In the numerical simulations, two control practices for NSBC (i.e., the nonlinear signal feedback action with or without the error feedback action) have offered excellent control with near 100% accuracy. Stability analysis of NSBC has accurately provided the stability conditions for the nonlinear controlled systems with a pure time delay.