护盾式柔性支护装置动力学建模与阻抗控制研究

Dynamic modeling and impedance control of a shield-type flexible support device

  • 摘要: 针对煤矿巷道支护过程中围岩条件复杂多变、传统刚性支护易导致应力集中与岩层损伤的问题,以护盾式柔性支护装置为研究对象,系统开展其动力学建模与阻抗控制方法研究。通过拉格朗日法建立了护盾式柔性支护装置的动力学模型;针对掘进工作面的支护力需求,提出一种“外环阻抗控制、内环滑模控制”的双层滑模阻抗控制策略,即外环阻抗控制器根据支护力偏差生成位姿修正指令、内环滑模控制器基于动力学模型实现位姿精确跟踪,并引入双曲正切函数以消除滑模控制器固有抖振,通过Lyapunov稳定性理论确保控制器的稳定性。在Matlab/Simulink仿真平台上开展支护参考力恒定、参考力变化、环境刚度变化这3类工况下的仿真实验,结果表明:在300,600,900 kN恒定参考支护力,参考支护力阶跃突变、多次变化及连续变化,以及围岩刚度突变、连续变化及随机扰动工况下,所提方法均能实现支护力的快速、稳定跟踪,响应时间小于1 s,稳态误差不超过1%,超调量小于5%,表现出良好的适应性与抗干扰能力。

     

    Abstract: To address the problems that complex and variable surrounding rock conditions during coal mine roadway support can cause stress concentration and rock strata damage when traditional rigid support systems are used, this study investigated the dynamic modeling and impedance control of a shield-type flexible support device. A dynamic model of the shield-type flexible support device was established using the Lagrange method. To meet the support force requirements of the heading face, a dual-loop sliding-mode impedance control strategy comprising outer-loop impedance control and inner-loop sliding-mode control was proposed. The outer-loop impedance controller generated pose correction commands according to the support force error, while the inner-loop sliding-mode controller achieved accurate pose tracking based on the dynamic model. A hyperbolic tangent function was introduced to eliminate the inherent chattering of the sliding-mode controller, and the stability of the control system was ensured using Lyapunov stability theory. Simulation experiments were conducted on the MATLAB/Simulink platform under three types of operating conditions: constant reference support force, varying reference support force, and varying environmental stiffness. The results showed that under constant reference support forces of 300, 600, and 900 kN; step, multiple, and continuous changes in the reference support force; and abrupt, continuous, and random variations in surrounding rock stiffness, the proposed method achieved rapid and stable tracking of the support force. The response time was less than 1 s, the steady-state error did not exceed 1%, and the overshoot was less than 5%. The proposed method exhibits good adaptability and disturbance rejection capability.

     

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