输出时滞控制系统稳定性分析及控制器设计
邵敏强，陈卫东
摘要:考虑滤波器时滞对受控系统的影响,研究受控输出时滞系统的稳定性能。根据稳定性切换理论,确定多自由度受控系统的稳定时滞区域。经过分析获得受控系统脉冲响应衰减时间接近最短时的时滞量,在此基础上采用时滞引入法和滤波器设计法进行控制器设计。结合悬臂梁模型进行数值分析,结果表明:根据时滞系统稳定性分析设计的控制器能够使受控系统脉冲响应衰减速度提高80%以上,有效改善系统的控制效果和稳定性能。
关键词：振动主动控制；LQ控制；时滞；稳定性切换；滤波器
Stability analysis and controller design of a class of controlled systems with output time delay
Minqing Shao, Weidong Chen
Abstract：The stability of a class of controlled systems with output time delay is analyzed in this paper. The range of time delay, in which the controlled system is stable, is confirmed by the stability switch theory. The time delay, which corresponds to the shortest decay time for step responses of the controlled system, is obtained analytically. According to time delay and filter design method, an effective controller is designed. And numerical simulations are performed on a cantilever beam to validate the proposed method. The results show that the decay rate of the system response is improved up to 80% after control, which ehhances control performence and stability of the system effectively.
Keyword：active vibration control; LQ control; time delay; stability switch; filter
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