SMA鼓包迟滞建模与控制策略

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。

SMA bump hysteresis modeling and control strategy

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.