摘要
针对一类连续时间T-S模糊模型的混沌化问题,提出一种新的混沌化方法.首先采用Delta算子离散化的方法将连续时间T-S模糊模型全局离散化,然后,在此离散时间T-S模糊模型的基础上,设计了一个线性状态反馈控制器,最后对整个闭环系统作一次溢出非线性函数运算以保证系统状态的有界性.可以证明,当控制器增益取得合适的情况下,系统可以产生Devaney意义下的混沌.数值仿真结果验证了所提方法的有效性.
A new approach was proposed to chaotify a class of continuous-time T-S fuzzy models. The delta operator is employed to discretize the continuous-time T-S fuzzy models globally so as to design a linear state feedback controller. Then, an operation of overflow nonlinear function is done for the whole closed-loop system to ensure the boundedness of the controlled system. It is proved that the system is thus chaotic in the sense of Devaney if the parameters of controller are chosen appropriately. The simulation results demonstrate the effectiveness of the proposed approach.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第5期609-612,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60325311
60534010
60572070
60521003)
长江学者奖励计划和创新研究群体资助项目(IRT0421)
