基于LQR的宏微复合驱动器宏动控制策略

Macro-motion control strategy of macro-micro composite actuator based on linear quadratic regulator

  • 摘要: 为提高宏微复合驱动器宏动部分的驱动控制精度,基于电磁力驱动原理,建立了宏动部分的动力学模型,并设计了线性二次型调节器(linear quadratic regulator, LQR)控制器和三闭环PID控制器。通过数值仿真和实验对比验证了LQR控制器的优越性。实验结果显示,在无负载、定位行程为10 mm时,LQR算法控制下定位误差约为1 μm,而三闭环PID算法控制下定位误差约为9 μm;在负载为1 kg、定位行程为10 mm时,LQR算法控制下定位误差约为1 μm,而三闭环PID算法控制下定位误差约为3.2 μm。研究结果表明,LQR算法相较于三闭环PID算法,具有更高的定位精度、更小的超调量、更强的稳定性和更好的鲁棒性,能更好地满足宏微复合驱动器的宏动控制需求。

     

    Abstract: To enhance the driving control accuracy of the macro-motion part of the macro-micro composite actuator, based on the electromagnetic force driving principle, the dynamic model of the macro-motion part was established. An linear quadratic regulator (LQR) controller and a three-closed-loop PID controller were designed respectively. Through numerical simulation and experimental methods, the superiority of the LQR controller was verified. The experimental results show that the positioning error is about 1 μm under the control of LQR algorithm and about 9 μm under the control of three-closed-loop PID algorithm when the no-load and a positioning stroke is 10 mm. When the load is 1 kg and the positioning stroke is 10 mm, the positioning error under LQR algorithm control is about 1 μm,while the positioning error under three-closed-loop PID algorithm control is about 3.2 μm. The research results show that the LQR algorithm has higher positioning accuracy, smaller overshoot, stronger stability, and better robustness compared to the three closed-loop PID algorithms, and can better meet the macro-motion control requirements of the macro-micro composite actuator.

     

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