研究了采用有界阻尼反馈实现陀螺系统的控制问题.首先利用LaSalle不变原理对受控系统进行了稳定性分析,然后在反馈中引入二阶Butterworth汕低通滤波函数,设计出依赖于可测信号的反馈控制策略.数值模拟结果表明采用该方法能够有效的将混沌陀螺系统稳定到周期轨或者平衡点.此外还讨论了控制参数及噪声对控制效果的影响,结果表明该控制方法不仅操作简单,易于实现,而且在弱噪声干扰下具有较强的鲁棒性。
This paper presents a method of controlling gyro system based on bounded damping feedback. Firstly, using LaSalle invariable theorem, a stability analysis is given theoretically. Then by introducing a two order Butterworth lowpass filter, a feedback controller is proposed on the basis of measured signals. The chaotic gyro system can be stabilized to different periodic obits or fixed points in the numerical simulation. Furthermore, the effects of control parameter and noise are investigated. The results show that the implementation of this control method is simple and easy. In addition, the controller has strong robustness against weak external noise.