摘要
提出了一种新型的分布式控制策略,使得有向网络能够达到多个平衡点,同时网络中节点之间的耦合强度仅根据局部信息进行自适应调整。将网络中需要达到同一个平衡点的节点划为一个小组,发现当某个小组中存在根节点时,则对根节点增加反馈控制器;当某个小组中没有根节点时,则从该组中随机选择一个节点增加反馈控制器,网络就能达到需要的多个平衡点。通过构建李亚普诺夫函数,给出了多平衡点稳定的条件。在网络单个节点的动力学函数为混沌的洛伦兹系统时,证实了该控制方法的有效性。
A new distributed control strategy was proposed to make a complex dynamical network achieve multiple equilibrium points,and have coupling strength between nodes adjusted adaptively basing upon local information.The nodes with same equilibrium point were classified into one group,and the root nodes there were equipped with a state feedback controller,or else,a node was provided with it to achieve desired multiple equilibrium points.By constructing a Lyapunov function,the conditions of stability of multiple equilibrium points can be given and proofed by simulation while the dynamics of each isolated node is Lorenz system.
出处
《化工自动化及仪表》
CAS
北大核心
2011年第4期375-378,500,共5页
Control and Instruments in Chemical Industry
基金
南京化工职业技术学院青年科学基金项目
关键词
有向网络
多平衡点
局部自适应
directed network
multiple equilibrium points
local adaptive