Kularatne Dhanushka, Forgoston Eric, Hsieh M Ani
Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Department of Mathematical Sciences, Montclair State University, Montclair, New Jersey 07043, USA.
Chaos. 2019 May;29(5):053128. doi: 10.1063/1.5090113.
We present a strategy to control the mean stochastic switching times of general dynamical systems with multiple equilibrium states subject to Gaussian white noise. The control can either enhance or abate the probability of escape from the deterministic region of attraction of a stable equilibrium in the presence of external noise. We synthesize a feedback control strategy that actively changes the system's mean stochastic switching behavior based on the system's distance to the boundary of the attracting region. With the proposed controller, we are able to achieve a desired mean switching time, even when the strength of noise in the system is not known. The control method is analytically validated using a one-dimensional system, and its effectiveness is numerically demonstrated for a set of dynamical systems of practical importance.
我们提出了一种策略，用于控制具有多个平衡态且受高斯白噪声影响的一般动力系统的平均随机切换时间。在存在外部噪声的情况下，该控制可以增强或降低从稳定平衡的确定性吸引区域逃逸的概率。我们合成了一种反馈控制策略，该策略基于系统到吸引区域边界的距离来主动改变系统的平均随机切换行为。使用所提出的控制器，即使系统中的噪声强度未知，我们也能够实现期望的平均切换时间。该控制方法通过一个一维系统进行了分析验证，并针对一组具有实际重要性的动力系统进行了数值有效性验证。
