基于小波基的高超声速飞行器预测函数控制  

Predictive Function Control of Hypersonic Vehicle Based on Wavelet Basis

作　　者：谢玉枚 唐伟强[2] 高海燕 XIE Yumei;TANG Weiqiang;GAO Haiyan(School of Electronics and Information Science Fujian Jiangxia University,Fuzhou 350000,China;College of Electrical and Information Engineering Lanzhou University of Technology Lanzhou,730000,China;School of Electrical Engineering and Automation Xiamen University of Technology Xiamen,361000,China)

机构地区：[1]福建江夏学院电子信息科学学院,福州350000 [2]兰州理工大学电气工程与信息工程学院,兰州730000 [3]厦门理工学院电气工程与自动化学院,福建厦门361000

出　　处：《电光与控制》2023年第8期38-42,60,共6页Electronics Optics & Control

基　　金：国家自然科学基金(62063018);福建省中青年教师教育科研项目(JAT220247);省级科研项目(2023J011099);校级科研项目(JXZ2022011)。

摘　　要：针对高超声速飞行器非线性、快时变等特点,研究小波基预测函数控制方法,旨在改善传统阶跃函数基预测函数控制的控制性能,同时实现高超声速飞行器的实时控制。首先,将高超声速飞行器非线性模型转换为状态相关的线性模型,然后,将控制律表示为小波函数的线性组合,控制律的计算转换为基函数系数的计算,极大地降低了优化计算的维数,可以实现对高超声速飞行器的实时控制。与传统的预测函数控制方法不同,将小波函数作为基函数能充分利用小波的多尺度分析和紧局部特性,通过灵活设置小波基函数的个数及位置分布,确保拟合点逼近要求的同时兼顾整体控制性能。仿真结果表明,相比于传统的阶跃函数基预测函数控制,小波基预测函数控制具有更好的跟踪性能。Considering the nonlinear and fast time-varying characteristics of hypersonic vehicle the wavelet-based predictive function control method is studied aiming at improving the control performance of traditional step-signal-based predictive function control and realizing real-time control of hypersonic vehicle.Firstly the nonlinear model of the hypersonic vehicle is converted into a state-dependent linear model and then the control law is represented as a linear combination of wavelet functions and the calculation of the control law is converted into the calculation of the basis function coefficients which greatly reduces the dimensionality of the optimization calculation so that the real-time control of hypersonic vehicle can be realized.In addition different from the traditional predictive function control method this paper uses the wavelet function as the basis function which can make full use of the multi-scale analysis and compact local characteristics of the wavelet.By flexibly setting the number and position distribution of wavelet basis functions the approximation requirements of the fitting points and the overall control performance are ensured.The simulation results show that the wavelet based predictive function control has better tracking performance than the traditional step-signal-based predictive function control does.

关 键 词：高超声速飞行器 小波基函数 预测函数控制 实时控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]