Chaos anticontrol and synchronization of three time scales brushless DC motor system
Chaos anticontrol and synchronization of three time scales brushless DC motor system
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DOI：
10.1016/j.chaos.2004.03.036
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发表时间：
2004-12
影响因子：
7.8
通讯作者：
Z. Ge;Jui-Wen Cheng;Yen-Sheng Chen
中科院分区：
文献类型：
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作者：
Z. Ge;Jui-Wen Cheng;Yen-Sheng Chen
研究了三时间尺度无刷直流电机的混沌反控制和不同阶次系统的混沌同步问题。给出了三时间尺度无刷直流电机系统的无量纲动态方程。利用数值结果，如相图、分叉图和Lyapunov指数，可以观察到周期运动和混沌运动。通过加入常数项、周期方波、周期三角波、周期锯齿波和kx|x|项来实现对混沌或周期系统的反控制，可以观察到更多的混沌现象。然后，通过误差动力学的耦合项和线性化，得到了无刷直流电机系统和速率陀螺系统两个不同阶次系统的部分同步。
Chaos anticontrol of three time scale brushless dc motors and chaos synchronization of different order systems are studied. Nondimensional dynamic equations of three time scale brushless DC motor system are presented. Using numerical results, such as phase diagram, bifurcation diagram, and Lyapunov exponent, periodic and chaotic motions can be observed. By adding constant term, periodic square wave, the periodic triangle wave, the periodic sawtooth wave, and kx|x| term, to achieve anticontrol of chaotic or periodic systems, it is found that more chaotic phenomena of the system can be observed. Then, by coupled terms and linearization of error dynamics, we obtain the partial synchronization of two different order systems, i.e. brushless DC motor system and rate gyroscope system.