摘要
作为一个复杂的非线性动力学系统,在一定的参数范围和外部输入条件下,行波超声波电动机系统存在复杂的混沌运动,但至今未见相关研究。在建立行波超声波电动机非线性混沌分析模型基础上,分析行波超声波电动机转速控制系统的Lyapunov指数谱、分岔图及电压相对于转速的轨迹图等非线性运行特性,为超声波电动机的混沌控制及反控制研究奠定了基础。
The traveling wave ultrasonic motor, which is a nonlinear dynamic system, can exhibit a variety of chaotic phenomenon under some choices of system parameters and external inputs, and its chaotic characteristics have not been studied until now. Based on the non-linear chaos model of a traveling wave ultrasonic motor, its nonlinear characteristics were analyzed with respect to the bifurcation diagram, Lyapunov exponent map and the locus of voltage relative to speed. The results show that the traveling wave ultrasonic motor has chaos characteristic under certain working condition. The theoretic foundation was established for the control and anti-control of chaos in traveling wave ultrasonic motor.
出处
《微特电机》
北大核心
2012年第2期15-17,25,共4页
Small & Special Electrical Machines
基金
河南省基础与前沿技术研究计划(092300410164)
