碰撞振动系统的状态预测反馈控制  

Feedback control of a vibro-impact system by states prediction

作　　者：丁旺才[1] 马永靖[1] 王靖岳[1] 

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《振动工程学报》2007年第6期589-593,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金(50675092;10472096);兰州交通大学"青蓝"人才工程基金资助

摘　　要：针对碰撞振动系统发生分岔和混沌的实际情况,提出了基于状态变量预测的反馈控制策略。构造了状态变量预测反馈控制器,理论分析了控制系统的稳定性,通过选取适当的反馈增益矩阵,原混沌轨道中不稳定的周期轨道就可被控制到最终稳定的目标周期轨道上。以一单自由度碰撞振动系统为例,将其化为Po incaré映射形式并进行数值模拟,结果验证了这一策略的有效性。This paper studies a feedback control strategy based on the state variable prediction for controlling chaos of a vibroimpact system. The feedback controller based on the state variable prediction is given and the stability of controlled system is analyzed. The chaotic orbit of the system can be directed into the stable objective periodic orbit when a proper feedback gaining matrix is elected. This strategy has been applied to a one-degree-freedom vibro-impact system which has been inverted to a Poincar6 map. Simulation results demonstrate the effectiveness of this strategy.

关 键 词：碰撞振动 POINCARE映射 混沌控制 状态预测 反馈控制 

分 类 号：O322[理学—一般力学与力学基础] TB535[理学—力学]