华南理工大学学报(自然科学版)

• 机械工程 • 上一篇    下一篇

基于PSO-LQR与切换非奇异终端滑模的宏微复合驱动器复合控制策略

喻曹丰1,2 张奇龙1 杨坤1 魏益军1 胡升阳1   

  1. 1.安徽理工大学 机电工程学院,安徽 淮南  232001;

    2.浙江大学流体动力基础件与机电系统国家重点实验室,浙江 杭州  310027

  • 发布日期:2025-08-01

Composite Control Strategy for Macro Micro Composite Actuator Based on PSO-LQR and Switching Non Singular Terminal Sliding Mode

YU Caofeng1, 2   ZHANG Qilong1   YANG Kun1   WEI Yijun1    HU Shengyang1   

  1. 1.School of Mechatronic EngineeringAnhui University of Science and TechnologyHuainan 232001AnhuiChina;

    2.State Key Laboratory of Fluid Power and Mechatronic SystemsZhejiang UniversityHangzhou 310027Zhejiang, China

  • Published:2025-08-01

摘要:

宏微复合驱动器作为精密定位平台的核心部件,其控制精度直接影响平台的性能。为提高宏微复合驱动器的控制精度,提出了一种主从结构的双环复合控制策略。在宏动控制环设计中,基于电磁力驱动原理建立动力学模型,分别采用粒子群优化算法(PSO)整定的线性二次型调节器(PSO-LQR)和传统LQR构建控制器,通过数值仿真与实验测试的对比分析,验证了PSO-LQR控制器在外环控制中具有更高的位移定位精度。在微动控制环设计中,基于线性压磁方程建立动力学模型,通过融合指数趋近律与双曲正切函数设计了非奇异终端滑模控制器作为内环,有效抑制了系统抖振现象。为验证所提控制策略的有效性,结合激光干涉仪搭建了宏微复合定位实验平台,并开展其定位性能的实验。实验结果表明,在相同的条件下,与传统LQR控制器相比较,PSO-LQR控制器在阶跃定位和位移跟踪方面具有优越性;微动部分能够实现1 μm的步进,而不会产生位移过冲。当定位目标为15 μm时,在非奇异终端滑模控制器控制下的位移误差约为0.24 μm,有效抑制了系统抖振。宏微复合定位方面使用激光干涉仪对光栅位移传感器进行闭环校准,并进行了重复性实验,最终定位精度在370 nm。

关键词: 宏微复合驱动器, 动力学, 粒子群优化, LQR控制, 滑模控制, 激光干涉仪, 控制策略

Abstract:

As the core component of the precision positioning platform, the control accuracy of the macro micro composite driver directly affects the performance of the platform. To improve the control accuracy of macro micro composite drivers, a dual loop composite control strategy with a master-slave structure is proposed. In the design of the macro motion control loop, a dynamic model is established based on the principle of electromagnetic force drive. The PSO-LQR controller tuned by particle swarm optimization algorithm (PSO) and the traditional LQR controller are used to construct the controller. Through comparative analysis of numerical simulation and experimental testing, it is verified that the PSO-LQR controller has higher displacement positioning accuracy in the outer loop control. In the design of micro motion control loop, a dynamic model was established based on linear pressure magnetic equation, and a non singular terminal sliding mode controller was designed as the inner loop by integrating exponential convergence law and hyperbolic tangent function, effectively suppressing the system chattering phenomenon. To verify the effectiveness of the proposed control strategy, a macro micro composite positioning experimental platform was built using a laser interferometer, and its positioning performance was tested. The experimental results show that under the same conditions, compared with the traditional LQR controller, the PSO-LQR controller has superiority in step positioning and displacement tracking; The micro motion part can achieve a step size of 1 μ m without generating displacement overshoot. When the positioning target is 15 μ m, the displacement error under the control of the non singular terminal sliding mode controller is about 0.24 μ m, effectively suppressing system chattering. In terms of macro micro composite positioning, a laser interferometer was used for closed-loop calibration of the grating displacement sensor, and repeated experiments were conducted. The final positioning accuracy was 370 nm.

Key words: macro-micro composite actuator, dynamics, particle swarm optimization, LQR control, sliding mode control, laser interferomete, control strategy