论文标题
随机，线性双曲平衡法律的反馈控制
Feedback control for random, linear hyperbolic balance laws
论文作者
论文摘要
我们设计了不确定性面临的物理系统的控制。系统动力学由随机双曲线平衡定律描述。该控制旨在将系统引导到不确定性下的所需状态。我们提出了基于对随机动力学合适串联扩展的Lyapunov稳定性分析的控制。控制障碍逐渐快速地降低了不确定性的影响。所提出的方法可以应用于大量的物理系统和随机扰动，例如高斯流程。我们说明了对随机粘塑料材料模型的控制效果。
We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a control based on Lyapunov stability analysis of a suitable series expansion of the random dynamics. The control damps the impact of uncertainties exponentially fast in time. The presented approach can be applied to a large class of physical systems and random perturbations, as e.g. Gaussian processes. We illustrate the control effect on a stochastic viscoplastic material model.
