混沌系统基于三角系统结构的控制问题研究  

The Study of Control Problems for Chaotic Systems Based on Triangle System Form

作　　者：彭称称 李彬[1] 郭荣伟[1] 

机构地区：[1]齐鲁工业大学理学院,山东济南250353

出　　处：《齐鲁工业大学学报》2016年第3期45-49,共5页Journal of Qilu University of Technology

基　　金：国家自然科学基金(61304133;61305130)

摘　　要：首次利用三角系统结构来研究混沌系统的控制问题。通过适当的变换,将混沌系统转化为三角系统。然后,基于三角系统的理论,研究了混沌系统的控制问题:镇定,同步,反同步,并用后步法设计了相应的控制器。最后,数值仿真结果验证了该方法的正确性和有效性。It is the first time to investigate the control problems of chaotic systems based on triangle system form.Firstly,a chaotic system can be transferred into triangle system by an appropriate coordinate conversion.Secondly,the control problems of such system：stabilization,synchronization,anti-synchronization are investigated by the theorems of the triangle system,and the corresponding controllers are designed by the back-stepping method. Finally,numerical simulation results verify the correctness and effectiveness of the obtained results.

关 键 词：后步法 三角系统 LYAPUNOV稳定性 镇定 同步 反同步 

分 类 号：O231[理学—运筹学与控制论]