基于微分平坦与自抗扰控制的伸缩臂抖动抑制研究
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国家重点研发计划项目(2018YFD0700600)和河北省自然科学基金项目(E2017204037)


Vibration Suppression of Telescopic Arm Based on Differential Flatness and Active Disturbance Rejection Control
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    摘要:

    采用主动抑振系统快速抑制冲击作用下的套叠结构臂体振动。考虑到臂体末端变形量不易测量的问题,将伸缩臂模型等效为由扭簧连接的两刚性杆系统,以变幅力矩为输入、两杆仰角为输出,建立拉格朗日动力学模型。将第1杆仰角与第2杆末端加速度合成微分平坦输出,构建单输入、单输出的二阶系统。采用线性自抗扰控制器,根据杆长变化实时更新扩张状态观测器和控制回路参数,使系统参数的物理意义明确,简化了整定过程。仿真和实验结果表明,在不同臂长条件下,均能实现2s内消除抖动并保持仰角设定值稳定的效果。该方法整定过程直观、简便,在简化模型条件下,根据外伸长度调整控制系统参数,保证了系统的抗扰能力持续有效。

    Abstract:

    The manned aerial vehicle with the telescopic arm is full of danger in the parameter tuning process. It is necessary to construct a vibration suppression controller which is effective and easy to tune. The telescopic arm was theoretically divided into two rigid bodies. The dynamics of the equivalent secondorder underactuated system was established based on the Lagrange equation. The model adopted the combination of elevation increment of the first link and tip acceleration of the second link to flatten the system, and made it into a secondorder single input single output model. The input gain and coefficient of zero-order term were automatically updated along with the elevation or length change of the arm and substituted them into the active disturbance rejection control (ADRC) system. Application of the proposed algorithm was shown on the simulation and experiment platform. The favorable results of arm stability was achieved under the controlling of flatness-ADRC in the case of changing in length and angle. Under the two working conditions of extension and shortening, the balance can all be restored within 2s. It was an innovation to design differential flat system with two different physical quantities, in addition the clear physical meaning of parameters in tuning process was very important in this liferelated system. Under the condition of simplified model, the parameters of the control system were adjusted according to the extension length and attitude, which ensured the system’s disturbance rejection ability to be continuous and effective.

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姜海勇,邢雅周,李娜,姜文光.基于微分平坦与自抗扰控制的伸缩臂抖动抑制研究[J].农业机械学报,2020,51(3):394-401. JIANG Haiyong, XING Yazhou, LI Na, JIANG Wenguang. Vibration Suppression of Telescopic Arm Based on Differential Flatness and Active Disturbance Rejection Control[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(3):394-401.

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  • 收稿日期:2019-11-25
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  • 在线发布日期: 2020-03-10
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