论文标题
Langevin Dynamics的漏斗控制
Funnel Control for Langevin Dynamics
论文作者
论文摘要
我们研究了Langevin类型的随机微分方程的跟踪控制，并描述了这些系统的采样问题的新概念方法。目的是确保在给定足够平滑的参考信号周围规定的性能漏斗中平均值的演变。为了实现这一目标，我们设计了一个新型的漏斗控制器，并在势能上的某些结构条件下显示其可行性。控制设计不需要对势能形状的任何特定知识。我们通过数值仿真来说明结果，具有双孔电势。
We study tracking control for stochastic differential equations of Langevin type and describe a new conceptual approach to the sampling problem for those systems. The objective is to guarantee the evolution of the mean value in a prescribed performance funnel around a given sufficiently smooth reference signal. To achieve this objective we design a novel funnel controller and show its feasibility under certain structural conditions on the potential energy. The control design does not require any specific knowledge of the shape of the potential energy. We illustrate the results by a numerical simulation for a double-well potential.
