Model-independent nonlinear control algorithm with application to a liquid bridge experiment
Model-independent nonlinear control algorithm with application to a liquid bridge experiment
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模型无关的非线性控制算法在液桥实验中的应用
DOI：
10.1103/physreve.58.427
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发表时间：
1998
影响因子：
2.4
通讯作者：
H. Swinney
中科院分区：
文献类型：
--
作者：
V. Petrov;A. Haaning;Kurt A. Muehlner;S. V. Hook;H. Swinney
我们提出了一种高维非线性动力系统的控制方法，它可以在不事先知道基本动力学方程的情况下瞄准遥远的不稳定状态。该算法基于系统{CLOSE_QUOTE}S对一系列随机扰动的响应来构造高维查找表。通过模拟浮区精炼过程的液桥表面张力驱动对流实验，验证了该方法的稳定性。通过加热或冷却放置在液桥表面附近的两个热电Peltier装置来实现对动力学的控制。算法例程以及几个用MatLab语言编写的示例程序可以在ftp://ftp.mathworks.com/pub/contrib/v5/control/nlcontrol.上找到{版权所有}{ital1998}{italthe American Physitive Society}
We present a control method for high-dimensional nonlinear dynamical systems that can target remote unstable states without {ital a priori} knowledge of the underlying dynamical equations. The algorithm constructs a high-dimensional look-up table based on the system{close_quote}s responses to a sequence of random perturbations. The method is demonstrated by stabilizing unstable flow of a liquid bridge surface-tension-driven convection experiment that models the float zone refining process. Control of the dynamics is achieved by heating or cooling two thermoelectric Peltier devices placed in the vicinity of the liquid bridge surface. The algorithm routines along with several example programs written in the MATLAB language can be found at ftp://ftp.mathworks.com/pub/contrib/v5/control/nlcontrol. {copyright} {ital 1998} {ital The American Physical Society}