多变量动态矩阵控制的优化与仿真
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摘要
基于多变量动态矩阵控制算法,对其反馈校正部分进行优化,在预测向量进行校正时,引入新的函数,使反馈校正模块具有动态性能;并且对位移阵中的参数进行优化,对系统进行补偿,提升系统的控制效果。以精馏塔为研究对象,分析工艺,选择合理变量,对优化后的多变量动态矩阵控制算法进行仿真,结果表明,该算法能够有效提升系统的响应速度,减少系统的超调量,提升整体性能,同时具有有很强的鲁棒性、良好的控制效果以及应用前景。
Based on the multivariable dynamic matrix control algorithm, we optimize the feedback correction part. When the prediction vector is corrected, a new function is introduced to make a dynamic feedback correction module. Furthermore, we optimize the parameters in the displacement matrix, compensate the system and improve the control effect. Taking a distillation column as the research subject, we analyze the process, select reasonable variables, and conduct simulations of the optimized multivariable dynamic matrix control algorithm. Simulations show that this algorithm can effectively improve system response speed, reduce system overshoot, improve the overall performance with strong robustness, good control effect and good application prospect.
Based on the multivariable dynamic matrix control algorithm, we optimize the feedback correction part. When the prediction vector is corrected, a new function is introduced to make a dynamic feedback correction module. Furthermore, we optimize the parameters in the displacement matrix, compensate the system and improve the control effect. Taking a distillation column as the research subject, we analyze the process, select reasonable variables, and conduct simulations of the optimized multivariable dynamic matrix control algorithm. Simulations show that this algorithm can effectively improve system response speed, reduce system overshoot, improve the overall performance with strong robustness, good control effect and good application prospect.
引文
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[5] 郭伟,夏友亮,周丽,等.一种改进的多变量动态矩阵控制算法及应用[J].控制工程,2015,22(1):123-128.
[8] 彭珺,席裕庚.动态矩阵控制闭环特征多项式系数的快速算法[J].上海交通大学学报,2003,37(11):1694-1697.
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[11] 刘腾腾,王唯一.MIMO系统预测控制及其Matlab与VC仿真实现[J].计算机工程与科学,2011,33(11):154-159.
[12] 徐焕良,王珂,任守纲,等.基于非合作博弈的分布式模型预测控制优化算法[J].计算机工程与科学,2016,38(7):1484-1494.
[2] Grimm G,Messina M J,Tuna S E,et al.Nominally robust model predictive control with state constraints[J].IEEE Transactions on Automatic Control,2007,52(10):1856-1870.
[3] Xi Yu-geng.Predictive control[M].Beijing:National Defense Industry Press,2013.(in Chinese)
[4] Veksler A,Johansen T A,Borrelli F,et al.Dynamic positioning with model predictive control [J].IEEE Transactions on Control Systems Technology,2016,24(4):1340-1353.
[5] Guo Wei,Xia You-liang,Zhou Li,et al.An improved multivariable PID dynamic matrix control algorithm and its application [J].Control Engineering of China,2015,22(1):123-128.(in Chinese)
[6] Lu Chi-Huang,Tsai Ching-Chih.Adaptive predictive control with recurrent neural network for industrial processes:An application to temperature control of a variable-frequency oil-cooling machine[J].IEEE Transactions on Industrial Electronics,2016,55(3):1366-1375.
[7] Thomsen S,Hoffmann N,Fuchs F W.PI control,PI-based state space control,and model-based predictive control for drive systems with elastically coupled loads—A comparative study[J].IEEE Transactions on Industrial Electronics,2011,58(8):3647-3657.
[8] Peng Jun,Xi Yu-geng.A fast algorithm to calculate the coefficients of closed-loop characteristic polynomial of dynamic matrix control system[J].Journal of Shanghai Jiaotong University,2003,37(11):1694-1697.(in Chinese)
[9] Liu Fu-chun,Zhao Jun,Qian Ji-xin.Research on multivariable constrained fast dynamic matrix control algorithm [J].Journal of Zhejiang University(Engineering Science),2005,39(5):672-675.(in Chinese)
[10] Barros J D,Silva F,Jesus E G A.Fast-predictive optimal control of NPC multilevel converters [J].IEEE Transactions on Industrial Electronics,2013,60(2):619-627.
[11] Liu Teng-teng,Wang Wei-yi.Prediction control and simulation using Matlab and VC for an MIMO system[J].Computer Engineering & Science,2011,33(11):154-159.(in Chinese)
[12] Xu Huan-liang,Wang Ke,Ren Shou-gang,et al.An optimization algorithm distributed model predictive control based on non-cooperative game [J].Computer Engineering & Science,2016,38(7):1484-1494.(in Chinese)
[3] 席裕庚.预测控制[M].北京:国防工业出版社,2013.
[5] 郭伟,夏友亮,周丽,等.一种改进的多变量动态矩阵控制算法及应用[J].控制工程,2015,22(1):123-128.
[8] 彭珺,席裕庚.动态矩阵控制闭环特征多项式系数的快速算法[J].上海交通大学学报,2003,37(11):1694-1697.
[9] 刘富春,赵均,钱积新.多变量约束快速动态矩阵控制算法研究[J].浙江大学学报(工学版),2005,39(5):672-675.
[11] 刘腾腾,王唯一.MIMO系统预测控制及其Matlab与VC仿真实现[J].计算机工程与科学,2011,33(11):154-159.
[12] 徐焕良,王珂,任守纲,等.基于非合作博弈的分布式模型预测控制优化算法[J].计算机工程与科学,2016,38(7):1484-1494.