一类相对转动系统的复杂运动及时滞速度反馈控制  

Complex dynamic behaviors of relative rotation system and its control by delayed velocity feedback

作　　者：尚慧琳[1] 李伟阳[1] 韩元波 文永蓬[2] 

机构地区：[1]上海应用技术学院机械工程学院,上海200235 [2]上海工程技术大学城市轨道交通学院,上海201620

出　　处：《振动与冲击》2015年第12期127-132,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(11472176);上海市自然科学基金项目(15ZR1419200);上海市教委晨光计划项目(11CG61)

摘　　要：研究一类典型的相对转动系统的系统参数引起的复杂运动(如混沌运动和安全域侵蚀),并对系统施加时滞速度反馈来控制系统的这些复杂动力学行为,从而保障系统的振动可靠性。利用Melnikov函数法获得时滞速度反馈控制相对转动系统产生混沌和安全域分岔的临界激励;并数值模拟了系统在不同控制参数条件下的动力学行为,从而验证了理论分析的正确性。研究结果表明,在正的反馈增益系数下,时滞速度反馈能够有效地用于控制相对转动系统的混沌运动和安全域侵蚀。The complex dynamic behaviors a typical relative rotation system,such as chaos and erosion of safe basin,induced by the variation of system parameters were investigated.In order to keep the reliability of the oscillation of the system,delayed velocity feedback was applied in the system to suppress these complex dynamic behaviors.The critical excitation for chaos and erosion of safe basin of the delayed velocity feedback controlled system was obtained by the Melnikov method.Then complex dynamic behaviors of the systems with different system parameters were stimulated numerically,which verifies the validity of the theoretical prediction.It is found that the delayed velocity feedback could be used as an effective method on suppressing chaos and erosion of safe basin of relative rotation systems.

关 键 词：相对转动系统 MELNIKOV函数 时滞速度反馈 混沌 安全域 

分 类 号：TP242[自动化与计算机技术—检测技术与自动化装置] O322[自动化与计算机技术—控制科学与工程]