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形状记忆合金执行机构的精确位移控制研究OA

Precision position control of shape memory alloy actuators

中文摘要英文摘要

针对形状记忆合金(SMA)执行机构大迟滞等严重非线性带来的控制困难,提出一种基于SMA自感知特性的逆迟滞前馈补偿和SMC-PID的闭环位移控制方法.首先,基于SMA工作原理建立了执行机构的正模型,并利用正模型求逆获得各个模块的逆模型;其次,通过对SMA电阻特性的分析,采用实验方法获得了SMA执行机构的电阻-位移自感知模型,实现了无外部传感器的位移反馈;再次,设计了逆模型前馈与自适应SMC-PID反馈相结合的复合控制方法,前馈控制通过逆模型补偿SMA的非线性和迟滞,反馈控制利用参数在线整定自适应SMC-PID控制器来逼近滑模等效控制信号,并证明了滑模系统的稳定性.仿真和实验结果表明,所提出控制方法与传统方法相比对正弦指令、加热收缩和自然冷却过程中的连续阶跃指令跟踪均具有更好的控制效果.实验证明所提出方法的阶跃指令信号跟踪的调节时间不大于17 s,位移跟踪误差不大于0.2 mm,实现了SMA执行机构的精确位移闭环控制,对系统迟滞和参数不确定性具有强鲁棒性.

To address the control difficulties caused by severe nonlinearities such as large hysteresis in shape memory alloy(SMA)actuators,a closed-loop displacement control method combining inverse hys⁃teresis feedforward compensation and sliding mode control-proportional integral derivative(SMC-PID)was proposed based on the self-sensing characteristics of SMA.First,a forward model of the actuator was established based on the working principle of SMA,and the inverse model was obtained by inverting the forward model of each module.Second,the resistance-displacement self-sensing model of the SMA actua⁃tor was established by experimental method based on the analysis of the resistance characteristics of SMA,thereby realizing displacement feedback without external sensors.Third,a composite control method com⁃bining inverse model feedforward and adaptive SMC-PID feedback was designed.The feedforward control was used to compensate for the nonlinearity and hysteresis of SMA,while the feedback control employed an adaptive SMC-PID controller with online parameter tuning to approximate the sliding mode equivalent control signal,and the stability of the system was proved.Simulation and experimental results demon⁃strate that the proposed method outperforms traditional control approaches in tracking sinusoidal com⁃mands,continuous step commands during heating contraction and natural cooling process.For step com⁃mand tracking,the settling time of step command signal tracking is no more than 17 s,and the displace⁃ment tracking error is no more than 0.2 mm.This realizes precise closed-loop displacement control of SMA actuators with strong robustness against system hysteresis and parameter uncertainties.

李朋;李晓林;张佼龙;张帝;郭建国

西北工业大学 航天学院精确制导与控制研究所,陕西 西安 710072西北工业大学 航天学院精确制导与控制研究所,陕西 西安 710072西北工业大学 航天学院精确制导与控制研究所,陕西 西安 710072西北工业大学 航天学院精确制导与控制研究所,陕西 西安 710072西北工业大学 航天学院精确制导与控制研究所,陕西 西安 710072

信息技术与安全科学

形状记忆合金迟滞非线性自感知逆补偿自适应滑模PID控制位移控制

shape memory alloy(SMA)hysteresis nonlinearityself-sensinginverse compensationPID adaptive sliding mode controlposition control

《光学精密工程》 2026 (6)

915-927,13

国家自然科学基金资助项目(No.52007153,No.52472419)陕西省自然科学基础研究计划(No.2023-JC-QN-0541)

10.37188/OPE.20263406.0915

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