用单一磁场角控两微机器人间距,实现精准平滑调控。
Modeling and Control of Magnetic Forces between Microrobots
- 通过级联PID+PD控制器,仅用磁场角度调节距离
- 收敛时间缩短40%,角度波动小于±5°
- 适合需差异化操控的生物医学场景
在靶向药物输送和微创手术等生物医学应用中,如何在共享全局磁场信号下独立控制多个磁性微机器人,是关键挑战。现有系统通常只能使所有微机器人同步运动,限制了差异化驱动的应用。本文提出一种级联控制方法,仅使用全局磁场角度ψ作为控制参数,实现对微机器人间径向距离的精确调节。基于磁偶极-偶极相互作用与黏性介质中速度模型构建物理模型,采用PID控制器调节距离,再通过级联PD控制器平滑磁场方向变化。MATLAB仿真显示,相比比例控制器,该方法将收敛时间缩短约40%;加入第二控制器后,整体方案在相近时间内实现平滑角度轨迹,角度波动仅±5°。结果验证了在二维环境下利用共享磁场快速、精准控制双微机器人间距的可行性,且无控制角度突变。但当前模型仅限于二维平面及双机器人,未来需扩展至三维多机器人系统。
原文摘要 · Abstract (English)
The independent control of multiple magnetic microrobots under a shared global signal presents critical challenges in biomedical applications such as targeted drug delivery and microsurgeries. Most existing systems only allow all agents to move synchronously, limiting their use in applications that require differentiated actuation. This research aims to design a controller capable of regulating the radial distance between micro-agents using only the angle ψof a global magnetic field as the actuation parameter, demonstrating potential for practical applications. The proposed cascade control approach enables faster and more precise adjustment of the inter-agent distance than a proportional controller, while maintaining smooth transitions and avoiding abrupt changes in the orientation of the magnetic field, making it suitable for real-world implementation. A bibliographic review was conducted to develop the physical model, considering magnetic dipole-dipole interactions and velocities in viscous media. A PID controller was implemented to regulate the radial distance, followed by a PD controller in cascade to smooth changes in field orientation. These controllers were simulated in MATLAB, showing that the PID controller reduced convergence time to the desired radius by about 40%. When adding the second controller, the combined PID+PD scheme achieved smooth angular trajectories within similar timeframes, with fluctuations of only \pm 5^\circ. These results validate the feasibility of controlling the radial distance of two microrobots using a shared magnetic field in a fast and precise manner, without abrupt variations in the control angle. However, the model is limited to a 2D environment and two agents, suggesting future research to extend the controller to 3D systems and multiple agents.
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