摘要
针对高速热气流模拟试验系统燃气温度难以用机理建模法建立精确数学模型的问题,采用灰箱建模理论,建立了双输入单输出燃气温度的精确数学模型。基本过程为:采用机理建模法得到系统的基本数学模型,然后利用辅助变量递推最小二乘法辨识出系统的未知参数,最后通过比较系统的阶跃响应曲线,得到系统的精确数学模型。仿真结果表明,所建模型具有较高的辨识精度,为实施控制方案奠定了基础。
Aiming at the problem that the gas temperature is difficult to establish accurate mathematical model for the high speed hot air flow simulation test system, practical gray box modeling theory was used to establish the accurate mathematical model of the gas temperature in the double input- single output system. Firstly, the preliminary mathematical model of the system was obtained by using the mechanism modeling method. Secondly, the instrumental variable recursive least square method was used to identify the unknown parameters of the system. Finally, the accurate mathematical model of the system was obtained by comparing the step response curve of the system. Simulation results showed that this model had high identification accuracy, and established the foundation for the implementation of the control scheme.
出处
《中国科技论文》
CAS
北大核心
2015年第23期2745-2748,共4页
China Sciencepaper
基金
河北省教育厅二○一五年科研计划资助项目(QN2015079)
关键词
燃气温度
灰箱建模
机理建模
辅助变量递推最小二乘法
gas temperature
gray box modeling
mechanism modeling
instrumental variable recursive least squares method
