输出时滞控制系统稳定性分析及控制器设计
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南京航空航天大学机械结构力学及控制国家重点实验室,南京航空航天大学机械结构力学及控制国家重点实验室

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Stability analysis of a controlled system with output time delay and a new method of controller design
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Nanjing University of Aeronautics & Astronautics,Nanjing University of Aeronautics & Astronautics

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    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。

    Abstract:

    The stability of a multi-degree controlled system with output time delay is analyzed in this paper. The delayed time is induced by filters which are used for signal processing. The range of time delay, in which the controlled system is stable, is confirmed by the theory of stability switch. And the effective controlled process is studied in the stable range. According to the result of stability analysis, an effective controller is designed by changing the delayed time of the system. And simulations are performed on a cantilever beam to validate the method proposed. Solutions appear that the attenuating speed of response of the system is improved up to 80% after control.

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邵敏强,陈卫东.输出时滞控制系统稳定性分析及控制器设计[J].振动工程学报,2012,25(3).[Shao Min-qiang, Chen Weidong. Stability analysis of a controlled system with output time delay and a new method of controller design[J]. Journal of Vibration Engineering,2012,25(3).]

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  • 收稿日期:2011-06-29
  • 最后修改日期:2012-05-31
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  • 在线发布日期: 2012-06-12
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