一种高阶线性时不变系统的辨识算法仿真
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摘要
该文旨在通过低阶系统并联模型的阶跃响应曲线拟合逼近的方法来确定高阶线性时不变系统的数学模型。首先,分析出高阶线性时不变系统响应可由一阶系统和二阶系统之和等效;其次,利用典型环节各参数值对阶跃响应曲线影响的规律,通过改变并联模型的各参数值,以拟合曲线逼近实际的阶跃响应曲线,从而得到系统的模型;最后基于Matlab对辨识算法进行了仿真,验证了该辨识方法的可行性,并为进一步研究提出了建议。
The purpose of this paper is to calculate the mathematical model of high-order linear time-invariant system by using low-order system parallel model's step response curve to approximate the high-order linear time-invariant system's. Firstly,it is shown that the response of high order linear time-invariant systems can be equivalent to the sum of the first-order system and the second-order system. Secondly,the influence of the parameters of typical model on the step response curve is analyzed,and the model of the high-order system is obtained by changing the parameters of the first-order system and the second-order system to approximate their step response curve. Finally,the identification algorithm is simulated based on Matlab,which verifies the feasibility of the method,and the paper puts forward suggestions for further research.
The purpose of this paper is to calculate the mathematical model of high-order linear time-invariant system by using low-order system parallel model's step response curve to approximate the high-order linear time-invariant system's. Firstly,it is shown that the response of high order linear time-invariant systems can be equivalent to the sum of the first-order system and the second-order system. Secondly,the influence of the parameters of typical model on the step response curve is analyzed,and the model of the high-order system is obtained by changing the parameters of the first-order system and the second-order system to approximate their step response curve. Finally,the identification algorithm is simulated based on Matlab,which verifies the feasibility of the method,and the paper puts forward suggestions for further research.
引文
[1]潘立登,潘仰东.系统辨识与建模[M].北京:化学工业出版社,2004.
[2]方崇智,萧德云.过程辨识[M].北京:清华大学出版社,2003.
[3] Wang Q.G.,Guo X.,Zhang Y. Direct identification of continuous time delay systems from step responses[J].Process Control,2001(11):531-540.
[4]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.
[5]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.
[6]徐小平,王峰,胡钢.系统辨识研究的现状[J].自动化技术,2007(15):112-116.
[7]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.
[8]胡寿松.自动控制原理简明教程[M].北京:科学出版社,2003.
[9]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.
[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]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.
[2]方崇智,萧德云.过程辨识[M].北京:清华大学出版社,2003.
[3] Wang Q.G.,Guo X.,Zhang Y. Direct identification of continuous time delay systems from step responses[J].Process Control,2001(11):531-540.
[4]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.
[5]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.
[6]徐小平,王峰,胡钢.系统辨识研究的现状[J].自动化技术,2007(15):112-116.
[7]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.
[8]胡寿松.自动控制原理简明教程[M].北京:科学出版社,2003.
[9]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.
[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]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.