固体力学与飞行器总体设计

SMA鼓包迟滞建模与控制策略

  • 陈旭亮 ,
  • 张琛 ,
  • 季宏丽 ,
  • 裘进浩
展开
  • 南京航空航天大学 航空学院 机械结构力学及控制国家重点实验室, 南京 210016

收稿日期: 2020-08-18

  修回日期: 2020-11-11

  网络出版日期: 2020-12-08

基金资助

国家自然科学基金(11532006&51775267);江苏省自然科学基金(BK20181286);装备预研基金(61402100103);江苏高校优势学科建设工程资助项目

SMA bump hysteresis modeling and control strategy

  • CHEN Xuliang ,
  • ZHANG Chen ,
  • JI Hongli ,
  • QIU Jinhao
Expand
  • State Key Laboratory of Mechanics and Control of Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2020-08-18

  Revised date: 2020-11-11

  Online published: 2020-12-08

Supported by

National Natural Science Foundation of China (11532006 & 51775267); Natural Science Foundation of Jiangsu Province (BK20181286); Equipment Pre-Research Foundation (61402100103); A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘要

激波控制鼓包SCB是一种减小激波阻力的流动控制技术。为了解决固定挠度鼓包工作范围较窄的问题,提出了一种具有双向记忆效应的形状记忆合金SMA鼓包,通过控制SMA鼓包的温度来改变其挠度。SMA鼓包最大可回复位移为6.1 mm,为鼓包变形区域的2.65%。针对迟滞现象对鼓包挠度控制的影响,基于(Krasnosel'skii-Pokrovskii,KP)模型对SMA鼓包的温度/挠度迟滞特性进行了建模研究。采用粒子群算法来辨识模型参数,辨识得到的迟滞模型最大误差为0.107 mm。设计了2种基于KP模型的PID控制方案,一种为无迟滞补偿的单目标PID控制,一种为迟滞逆模型前馈补偿的双目标PID控制。仿真与实验结果表明,迟滞逆模型前馈补偿的双目标PID控制时域性能优于无迟滞补偿的单目标PID控制。

本文引用格式

陈旭亮 , 张琛 , 季宏丽 , 裘进浩 . SMA鼓包迟滞建模与控制策略[J]. 航空学报, 2021 , 42(9) : 224652 -224652 . DOI: 10.7527/S1000-6893.2020.24652

Abstract

Shock Control Bump (SCB) is a flow control method for shock drag reduction. To solve the problem of the narrow working range of the fixed deflection bump, we propose a Shape Memory Alloy (SMA) bump with two-way memory effect to change deflection by controlling the temperature. The maximum recoverable displacement of the SMA bump is 6.1 mm, which is 2.65% of the deformation area of the bump. To reduce the influence of the hysteresis when controlling the deflection, we use the Krasnosel'skii-Pokrovskii (KP) model to model the temperature/deflection hysteresis of the SMA bump. The particle swarm algorithm is adopted to identify the parameters of the hysteresis model. The maximum error of the identified hysteresis model is 0.107 mm. Two PID control schemes based on the KP model are designed, one being single-target PID control without hysteresis compensation, and the other being dual-target PID control with the hysteresis inverse model feedforward compensation. Simulation and experimental results show that the time-domain performance of the dual-target PID control with the hysteresis inverse model feedforward compensation is better than the single-target PID control without hysteresis compensation.

参考文献

[1] BRUCE P J K, COLLISS S P. Review of research into shock control bumps[J]. Shock Waves, 2015, 25(5):451-471.
[2] STANEWSKY E, DÉLERY J, FULKER J, et al. Assessment of shock control-A summary[M]//Notes on Numerical Fluid Mechanics (NNFM). Wiesbaden:Vieweg+Teubner Verlag, 1997:76-77.
[3] STANEWSKY E, DÉLERY J, FULKER J, et al. Drag reduction by shock and boundary layer control[M]. Berlin:Springer Berlin Heidelberg,2002.
[4] 李沛峰, 张彬乾, 陈迎春, 等. 减小翼型激波阻力的鼓包流动控制技术[J]. 航空学报, 2011, 32(6):971-977. LI P F, ZHANG B Q, CHEN Y C, et al. Wave drag reduction of airfoil with shock control bump[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(6):971-977(in Chinese).
[5] JINKS E R, BRUCE P J, SANTER M J. Adaptive shock control bumps[C]//52nd Aerospace Sciences Meeting. Reston:AIAA, 2014:0945.
[6] LAGOUDAS D C. Shape memory alloys:Modeling and engineering applications[M]. Berlin:Springer, 2008.
[7] LESTER B T, BAXEVANIS T, CHEMISKY Y, et al. Review and perspectives:Shape memory alloy composite systems[J]. Acta Mechanica, 2015, 226(12):3907-3960.
[8] MOHD J J, LEARY M, SUBIC A, et al. A review of shape memory alloy research, applications and opportunities[J]. Materials & Design (1980-2015), 2014, 56:1078-1113.
[9] 聂瑞, 裘进浩, 季宏丽, 等. 自适应鼓包气动构型优化与结构概念设计[J]. 工程热物理学报, 2017, 38(9):1896-1905. NIE R, QIU J H, JI H L, et al. Aerodynamic configuration optimization and structural concept design of adaptive bump[J]. Journal of EngineeringThermophysics, 2017, 38(9):1896-1905(in Chinese).
[10] PREISACH F.Vber die magnetische nachwirkung[J]. Zeitschrift Für Physik, 1935, 94(5-6):277-302.
[11] SU C Y, WANG Q Q, CHEN X K, et al. Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis[J]. IEEE Transactions on Automatic Control, 2005, 50(12):2069-2074.
[12] WEBB G V, LAGOUDAS D C, KURDILA A J. Hysteresis modeling of SMA actuators for control applications[J]. Journal of Intelligent Material Systems and Structures, 1998, 9(6):432-448.
[13] LIU Y H, FENG Y, DU J, et al. Adaptive dynamicsurface control of a class of nonlinear systems with unknown duhem hysteresis[C]//Intelligent Robotics and Applications, 2012.
[14] NGUYEN B K, AHN K K. Feedforward control of shape memory alloy actuators using fuzzy-based inverse preisach model[J]. IEEE Transactions on Control Systems Technology, 2009, 17(2):434-441.
[15] FENG Y, RABBATH C A, HONG H, et al. Inverse hysteresis control for shape memory alloy micro-actuators based flap positioning system[C]//49th IEEE Conference on Decision and Control (CDC). Piscataway:IEEE Press, 2010:3662-3667.
[16] LIU Y H, FENG Y, CHEN X K. Robust adaptive dynamic surface control for a class of nonlinear dynamical systems with unknown hysteresis[J]. Abstract and Applied Analysis, 2014, 2014:1-10.
[17] MAI H H, SONG G B, LIAO X F. Adaptive online inverse control of a shape memory alloy wire actuator using a dynamic neural network[J]. Smart Materials and Structures, 2012, 22(1):015001.
[18] 郝林. 形状记忆合金鼓包力学特性研究[D]. 南京:南京航空航天大学, 2018. HAO L. Research on mechanical properties of shape memory alloy bump[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2018(in Chinese).
[19] KENNEDY J, EBERHART R. Particle swarm optimization[C]//Proceedings of ICNN'95-International Conference on Neural Networks,2002.
[20] 刘金琨. 先进PID控制MATLAB仿真[M]. 2版. 北京:电子工业出版社, 2004. LIU J K.MATLAB simulation of advanced PID control[M].2nd ed. Beijing:Publishing House of Electronics Industry, 2004(in Chinese).
文章导航

/