基于泰勒有限差分的搅拌罐的离散控制仿真

doi:10.16182/j.issn1004731x.joss.201803032

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (3): 1023-1029.doi: 10.16182/j.issn1004731x.joss.201803032

基于泰勒有限差分的搅拌罐的离散控制仿真

张雨浓, 丁亚琼, 李乐, 张德阳, 邱斌斌

中山大学数据科学与计算机学院,广东广州 510006

收稿日期:2016-03-07 出版日期:2018-03-08 发布日期:2019-01-02
第一作者简介:张雨浓(1973-),男,河南信阳,博士,教授,博导,研究方向为人工神经网络、机器人、科学计算与优化等。
基金资助:
国家自然科学基金委员会面上项目(61473 323),广州市科技计划(2014J4100057),自主系统与网络控制教育部重点实验室开放基金(2013A07)

Discrete Control Simulation of Agitation Tank Based on Taylor Finite Difference

Zhang Yunong, Ding Yaqiong, Li Le, Zhang Deyang, Qiu Binbin

School of Data and Computer Science, Sun Yat-sen University, Guangzhou 510006, China

Received:2016-03-07 Online:2018-03-08 Published:2019-01-02

摘要/Abstract

摘要： 通过利用张动力学来处理搅拌罐的系统方程得到一组控制器,同时结合泰勒有限差分方法,对搅拌罐系统进行计算机离散控制仿真实验。此外,理论分析证明了张动力学应用到搅拌罐系统的收敛稳定性。最后,利用MATLAB仿真工具,以排空搅拌罐为例,进行了计算机离散化控制仿真实验。为了比较,基于神经网络预测控制的计算机仿真实验被给出,对比仿真实验结果证明了利用泰勒有限差分方法对搅拌罐系统进行离散化控制仿真的有效性和高精度。此外,相较于利用ode45对搅拌罐系统进行计算机控制仿真,该方法具有减少系统函数取值和易于软硬件实现的优点。

关键词: 张动力学, 搅拌罐, 泰勒有限差分, 离散控制

Abstract: Zhang dynamics is used to solve the system equations of the agitation tank to get controllers. At the same time, Taylor finite difference method is used in the computer discrete control simulation for the agitator tank system. In addition, the convergence stability of Zhang dynamics applied to the agitation tank is proved through theoretical analysis. In order to achieve the draining purpose for the agitation tank, the computer discrete control simulation is conducted by means of MATLAB. For comparison, the computer simulation based on the neural network predictive controller is carried out. The comparative simulation results substantiate the effectiveness and high precision of the presented method. Moreover, compared with the ode45, Taylor finite difference method can decrease system functional evaluations and has easier software and hardware implementations.

Key words: Zhang dynamics, agitation tank, Taylor finite difference, discrete control

中图分类号:

TP391.9

张雨浓,丁亚琼,李乐等 . 基于泰勒有限差分的搅拌罐的离散控制仿真[J]. 系统仿真学报, 2018, 30(3): 1023-1029.

Zhang Yunong,Ding Yaqiong,Li Le,et al . Discrete Control Simulation of Agitation Tank Based on Taylor Finite Difference[J]. Journal of System Simulation, 2018, 30(3): 1023-1029.

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基于泰勒有限差分的搅拌罐的离散控制仿真

Discrete Control Simulation of Agitation Tank Based on Taylor Finite Difference

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