基于阶跃响应曲线特征的线性系统辨识方法研究
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摘要
针对阶跃响应法建模的局限性,提出一种基于阶跃响应曲线特征的线性系统辨识方法。高阶线性系统可由多个一阶与二阶典型环节并联而成,分析典型环节各参数对曲线形状影响的规律,并依据其调整各参数值,以典型环节并联模型的拟合曲线逼近实际的阶跃响应曲线,从而得到系统的传递函数。另外,借助Matlab图形用户界面(GUI)平台,开发了辨识软件以验证该算法的正确性与可行性,实验结果表明,该方法辨识精度高,对于复杂控制系统建模具有一定的参考性。
In order to solve the limitations of step response identification modeling, an identification method is presented for linear system based on the feature of step response curve. According to the theory that the typical first-order and second-order components can comprise a high order linear system in parallel form, the influences of parameters on the shape of the curve are analyzed. These laws are used to adjust the values of the parameters in the typical components to make the fitted curve close to the actual step response curve, and the transfer function is obtained. In order to validate the feasibility and correctness of the algorithm, an identification software is developed with the help of Matlab Graphical User Interface( Matlab GUI). The simulation results show that this method is reliable and accurate, and has certain reference value for the modeling of complicated control system.
In order to solve the limitations of step response identification modeling, an identification method is presented for linear system based on the feature of step response curve. According to the theory that the typical first-order and second-order components can comprise a high order linear system in parallel form, the influences of parameters on the shape of the curve are analyzed. These laws are used to adjust the values of the parameters in the typical components to make the fitted curve close to the actual step response curve, and the transfer function is obtained. In order to validate the feasibility and correctness of the algorithm, an identification software is developed with the help of Matlab Graphical User Interface( Matlab GUI). The simulation results show that this method is reliable and accurate, and has certain reference value for the modeling of complicated control system.
引文
[1]袁冠威.两种阶跃响应辨识算法的应用对比与实现[J].化工自动化及仪表,2013,40(10):1288-1291.
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[12]魏文雄,王晶晶,李葵.二阶系统建模及初始状态影响分析[J].自动化与仪器仪表,2014(7):168-171.
[13]余洁,杨平.基于自平衡系统的阶跃响应建模与MATLAB仿真[J].自动化技术与应用,2010,29(6):103-105.
[14]陈垚光,毛涛涛.精通MATLAB GUI设计[M].北京:电子工业出版社,2011.
[15]王景,李爱军,亢锐.弹性飞机模型降阶软件设计[J].测控技术,2012,31(8):91-95.
[2]万春红,束洪春,张东宁.水泥分解炉温度控制过程的阶跃响应建模与仿真[J].化工自动化及仪表,2011,38(12):1420-1424.
[3]李敏花,柏猛,吕英俊.LM算法在二阶过阻尼系统参数估计中的应用[J].自动化仪表,2015,36(7):90-93.
[4]黄李.试验法建模在微型涡喷发动机上的应用[D].南京:南京航空航天大学,2010.
[5] Wang Q G,Guo X,Zhang Y. Direct identification of continuous time delay systems from step responses[J]. Journal of Process Control,2001,11(5):531-540.
[6]全亚斌,张卫东,许晓鸣.二阶加延时模型的阶跃响应辨识方法[J].控制理论与应用,2002,19(6):954-956.
[7]窦立谦,宗群,刘文静.面向控制的系统辨识研究进展[J].系统工程与电子技术,2009,31(1):158-164.
[8]徐小平,王峰,胡钢.系统辨识研究的现状[J].自动化技术,2007,30(15):112-116.
[9]靳其兵,夏丹阳.一种闭环条件下的多变量系统辨识方法[J].微计算机信息,2007,23(7):282-230.
[10]贺飞.预测控制及其在电站锅炉汽温控制中的应用研究[D].北京:北京交通大学,2014.
[11]胡寿松.自动控制原理简明教程[M].北京:科学出版社,2003.
[12]魏文雄,王晶晶,李葵.二阶系统建模及初始状态影响分析[J].自动化与仪器仪表,2014(7):168-171.
[13]余洁,杨平.基于自平衡系统的阶跃响应建模与MATLAB仿真[J].自动化技术与应用,2010,29(6):103-105.
[14]陈垚光,毛涛涛.精通MATLAB GUI设计[M].北京:电子工业出版社,2011.
[15]王景,李爱军,亢锐.弹性飞机模型降阶软件设计[J].测控技术,2012,31(8):91-95.