用改良单反馈法实现损耗型变形耦合发电机系统的混沌控制  

Controlling Chaos on a Loss Type of Modified Coupled Dynamos System by the Improved Linear Feedback Method

作　　者：孙娜燕[1] 郝建红[1] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206

出　　处：《华侨大学学报（自然科学版）》2012年第5期484-489,共6页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(10775018);华北电力大学博士科研基金;国际科技合作项目(2011DFR00780)

摘　　要：采用常规线性反馈法对一个考虑机械阻尼损耗的耦合发电机系统实施混沌控制,从操作性强、利于实现和降低控制功率等方面考虑,提出一种改良线性反馈法.即仅当运动轨道接近控制目标时才实施控制,最大限度地维持系统动力学特性不变.此方法具有滑模控制作用,可以调整极限环半径等系统性态.基于Lya-punov指数和Routh-Hurwitz判据,讨论受控系统的混沌轨道达到不稳平衡点或极限环的条件,给出理论上的证明.最后,通过数值模拟验证方法的有效性.The linear feedback method is adopted to implement chaos control for the coupled dynamos system which considered mechanical damping loss.An improved method is proposed,and the method is easy to operate,easy to implement and has low control power.It is only when the trajectory is close to the controlled objectives,the system is controlled.It can furthest maintain the dynamic characteristics of the system.This method has sliding mode control action which can adjust system state such as the limit ring radius.Based on the Lyapunov exponent and Routh-Hurwitz criterion,the conditions of the controlled system to steady equilibrium points and limit cycle are discussed.They are proved theoretically.The validity of this method has been verified by numerical simulations.

关 键 词：机械阻尼损耗 耦合发电机系统 线性反馈法 混沌控制 

分 类 号：TM310.12[电气工程—电机] O415.5[理学—理论物理]