对高阶对象的一种模型辨识方法
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摘要
由于工业生产中的被控对象模型往往都是未知的,这对于系统整体的控制以及控制器参数的整定都带来极大不便,所以得到被控对象的精确等价模型尤为重要。提出了一种针对高阶对象的模型辨识方法,通过获取对象的输入输出数据,采用一定的变换方法得到对象的一阶加纯滞后或二阶加纯滞后模型。从被控对象模型和辨识出的模型Nyquist图以及单位阶跃响应方面,利用Matlab仿真对模型辨识度进行验证。仿真结果表明,该方法辨识出的被控对象模型拟合度高。
Since the controlled object model in industrial production is often unknown,it is extremely inconvenient for the overall control of the system and the tuning of the controller parameters. Therefore,it is vital to obtain the exact equivalent model of the controlled object. In this paper,a model identification method for high-order objects is proposed. By obtaining the input and output data of the object and adopting a certain transformation method,the first-order with pure time delay model or the second-order with pure time delay model of the object is obtained. By comparing the Nyquist graph and the unit step response of the controlled object model and the identified model,the recognition of the model is verified by Matlab simulation. The simulation results show that the model of the controlled object identified by this method has high fitness.
Since the controlled object model in industrial production is often unknown,it is extremely inconvenient for the overall control of the system and the tuning of the controller parameters. Therefore,it is vital to obtain the exact equivalent model of the controlled object. In this paper,a model identification method for high-order objects is proposed. By obtaining the input and output data of the object and adopting a certain transformation method,the first-order with pure time delay model or the second-order with pure time delay model of the object is obtained. By comparing the Nyquist graph and the unit step response of the controlled object model and the identified model,the recognition of the model is verified by Matlab simulation. The simulation results show that the model of the controlled object identified by this method has high fitness.
引文
[1]蒋文春.过程辨识方法的研究及实现[D].北京:北京化工大学,2009.
[2] ZADEH L A. On the identification problem[J]. IEEE Transactions on Circuits and Systems,1956,3(4):277-281.
[3]王维贺,王平.二阶加纯滞后对象模型辨识方法及其应用[J].化工自动化及仪表,2010,37(9):21-24.
[4]邵青,冯汝鹏.非线性系统模糊辨识的新方法[J].控制与决策,2001(1):83-85,89.
[5]王亚刚,许晓鸣.复杂多变量过程模型的闭环频域辨识[J].控制与决策,2010,25(6):825-830.
[6]王亚刚,许晓鸣.过程对象模型在线闭环频域辨识[J].微计算机信息,2009,25(10):282-283,291.
[7]黄存坚,尚群立,余善恩,等.基于阶跃响应二阶加纯滞后模型的系统辨识[J].机械制造,2010,48(10):19-21.
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[9] WANG Q G,GUO X,ZHANG Y. Direct identification ofcontinuous time delay systems from step responses[J]. Journal of Process Control,2001,11(5):531-542.
[10]樊厉,林红权,高东杰.过程控制常用连续模型的直接辨识法及应用[J].控制工程,2006(4):310-313,323.
[11]胡钢墩,李发泽.惯性系统的时域在线辨识[J].控制与决策,2010,25(1):133-136.
[12]韩京清.系统辨识的一种方法——状态反馈法[C].控制理论及其应用年会,1988.
[13]顾玮.基于最小二乘法的系统参数辨识[J].办公自动化,2017,22(21):39-41,47.
[14]曹慧荣.基于最小一乘的系统辨识方法研究[J].自动化技术与应用,2009,28(7):8-10.
[15]严晓久,周爱国,林建平,等.基于辅助变量法的系统参数辨识[J].机床与液压,2006(12):180-181,184.
[16] AHMED S,HUANG B,SHAH S L. Novel identification method from step response[J]. Control Engineering Practice,2007,15(5):545-556.
[17] WANG Q G,GUO X,ZHANG Y. Direct identification ofcontinuous time delay systems from step responses[J]. Journal of Process Control,2001,11(5):531-542.
[18]倪博溢,萧德云. Matlab环境下的系统辨识仿真工具箱[J].系统仿真学报,2006(6):1493-1496.
[19]吕秋霞,李继容. Matlab在系统辨识中的应用[J].仪器仪表用户,2008,15(1):60-61.
[20]侯媛彬,汪梅,王立琦.系统辨识及其Matlab仿真[M].北京:科学出版社,2004.
[2] ZADEH L A. On the identification problem[J]. IEEE Transactions on Circuits and Systems,1956,3(4):277-281.
[3]王维贺,王平.二阶加纯滞后对象模型辨识方法及其应用[J].化工自动化及仪表,2010,37(9):21-24.
[4]邵青,冯汝鹏.非线性系统模糊辨识的新方法[J].控制与决策,2001(1):83-85,89.
[5]王亚刚,许晓鸣.复杂多变量过程模型的闭环频域辨识[J].控制与决策,2010,25(6):825-830.
[6]王亚刚,许晓鸣.过程对象模型在线闭环频域辨识[J].微计算机信息,2009,25(10):282-283,291.
[7]黄存坚,尚群立,余善恩,等.基于阶跃响应二阶加纯滞后模型的系统辨识[J].机械制造,2010,48(10):19-21.
[8]李少远,蔡文剑.工业过程辨识与控制[M].北京:化学工业出版社,2005:108-124.
[9] WANG Q G,GUO X,ZHANG Y. Direct identification ofcontinuous time delay systems from step responses[J]. Journal of Process Control,2001,11(5):531-542.
[10]樊厉,林红权,高东杰.过程控制常用连续模型的直接辨识法及应用[J].控制工程,2006(4):310-313,323.
[11]胡钢墩,李发泽.惯性系统的时域在线辨识[J].控制与决策,2010,25(1):133-136.
[12]韩京清.系统辨识的一种方法——状态反馈法[C].控制理论及其应用年会,1988.
[13]顾玮.基于最小二乘法的系统参数辨识[J].办公自动化,2017,22(21):39-41,47.
[14]曹慧荣.基于最小一乘的系统辨识方法研究[J].自动化技术与应用,2009,28(7):8-10.
[15]严晓久,周爱国,林建平,等.基于辅助变量法的系统参数辨识[J].机床与液压,2006(12):180-181,184.
[16] AHMED S,HUANG B,SHAH S L. Novel identification method from step response[J]. Control Engineering Practice,2007,15(5):545-556.
[17] WANG Q G,GUO X,ZHANG Y. Direct identification ofcontinuous time delay systems from step responses[J]. Journal of Process Control,2001,11(5):531-542.
[18]倪博溢,萧德云. Matlab环境下的系统辨识仿真工具箱[J].系统仿真学报,2006(6):1493-1496.
[19]吕秋霞,李继容. Matlab在系统辨识中的应用[J].仪器仪表用户,2008,15(1):60-61.
[20]侯媛彬,汪梅,王立琦.系统辨识及其Matlab仿真[M].北京:科学出版社,2004.