Selective pattern formation control: Spatial spectrum consensus and Turing instability approach
Selective pattern formation control: Spatial spectrum consensus and Turing instability approach
复制标题
DOI：
10.1016/j.automatica.2015.03.019
复制
发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
K. Kashima;T. Ogawa;T. Sakurai
中科院分区：
文献类型：
--
作者：
K. Kashima;T. Ogawa;T. Sakurai
自主模式形成现象在自然界中无处不在。本文的目标是显示的可能性，有效地产生各种所需的空间模式，通过适当地引导这样的现象。为此，我们采用一个反应扩散系统作为数学模型，并制定和解决一个新的图案形成控制问题。首先，我们描述了控制目标的空间谱一致性，这使得利用网络控制系统理论的最新进展。接下来，所提出的控制律的有效性进行了评估，理论上利用中心流形定理，也通过仿真数字。图灵不稳定性在整个论文中起着至关重要的作用。
Autonomous pattern formation phenomena are ubiquitous throughout nature. The goal of this paper is to show the possibility to effectively generate various desired spatial patterns byguidingsuch phenomena suitably. To this end, we employ a reaction–diffusion system as a mathematical model, and formulate and solve a novel pattern formation control problem. First, we describe the control objective in terms of spatial spectrum consensus, which enables utilize recent advances on networked control system theory. Next, the effectiveness of the proposed control law is evaluated theoretically by exploiting the center manifold theorem, and also numerically by simulation. The Turing instabilities play a crucial role throughout the paper.