复杂双容水箱系统的递阶预测控制优化算法
|
摘要
针对复杂双容水箱系统,以控制两个下水箱液位跟踪设定值为设计目标。为实现良好的水箱液位控制效果,首先构造液位控制的无穷时域性能指标,建立了复杂双容水箱无穷时域性能优化问题的数学描述;随后将基于时间分解协调的递阶优化和预测控制的滚动优化思想引入水箱液位控制,将优化时域较长所引起的大规模参数优化问题分解为各时间点上独立的小规模参数优化问题,从而得出显式优化解,取得较优的水箱液位控制效果。
The design objective of the complex dual-tank system is to track the set-value of liquid level of the two sewer tanks. In order to achieve good performance of liquid level control,infinite horizon performance index of liquid level control is constructed,and mathematical description of infinite time performance optimization problem of complex dual-tank is established. Then,based on decomposition and coordination of time,the hierarchical optimization and rolling optimization idea of predictive control are introduced into the control problem of water tank. The large-scale parameter optimization problem caused by longer optimization horizon is decomposed into independent small-scale parameter optimization problem at each time point,and the explicit optimization solution is obtained,which achieves better performance of tank liquid level control.
The design objective of the complex dual-tank system is to track the set-value of liquid level of the two sewer tanks. In order to achieve good performance of liquid level control,infinite horizon performance index of liquid level control is constructed,and mathematical description of infinite time performance optimization problem of complex dual-tank is established. Then,based on decomposition and coordination of time,the hierarchical optimization and rolling optimization idea of predictive control are introduced into the control problem of water tank. The large-scale parameter optimization problem caused by longer optimization horizon is decomposed into independent small-scale parameter optimization problem at each time point,and the explicit optimization solution is obtained,which achieves better performance of tank liquid level control.
引文
[1]牛玉广,李晓明,赵子昂.多模型预测控制及其在火电厂过热汽温控制中的应用[J].上海电力学院学报,2014,30(3):278-282.
[2]张壤文,田学民.带变遗忘因子的自适应子空间预测控制器设计[J].化工学报,2016,67(3):858-864.
[3]侯国莲,杨玉.改进的约束预测控制在液位控制系统中的应用[J].计算机仿真,2016,33(10):381-385.
[4]郑义民,金福江,吉国力.基于解耦方法的TITO分散PID控制器研究[J].控制工程,2017,24(8):1547-1552.
[5]马平,李紫君,王凯宸.基于物理平台的多变量控制系统设计与研究[J].科学技术与工程,2016,16(14):217-221.
[6]韦晓儒,王志萍.基于多容惯性标准传递函数的锅炉内胆水温PID控制[J].上海电力学院学报,2015,31(3):288-292.
[7]陈宁,王磊,彭俊洁,等.基于模糊认知网络的改进非线性Hebbian算法[J].控制理论与应用,2016,33(10):1273-1280.
[8]李琦,陈晔明.近似动态规划在双容水箱预测控制中的应用[J].计算机仿真,2014,31(12):308-311.
[9]宋清昆,余杉钰,韩笑.四容水箱的小波神经网络广义预测控制[J].计算机工程与应用,2016,52(16):216-220.
[10]李艳坡,潘丰.相平面分区法在四容水箱液位控制中的应用[J].计算机与应用化学,2012,29(9):1115-1118.
[11]黄勤芳,覃秀凤.自适应预测控制在三容水箱液位系统中的应用[J].机械设计与制造,2017(1):83-86.
[12]张玲.四容水箱混杂系统的建模与预测控制研究[D].南京:南京理工大学,2013.
[13]CHEN H,ALLGOWER F.A quasi-infinite horizon nonlinear model predictive scheme w ith guaranteed stability[J].Automatica,1998,34(10):1205-1217.
[14]席裕庚.动态大系统方法导论[M].北京:国防工业出版社,1988:103-158.
[2]张壤文,田学民.带变遗忘因子的自适应子空间预测控制器设计[J].化工学报,2016,67(3):858-864.
[3]侯国莲,杨玉.改进的约束预测控制在液位控制系统中的应用[J].计算机仿真,2016,33(10):381-385.
[4]郑义民,金福江,吉国力.基于解耦方法的TITO分散PID控制器研究[J].控制工程,2017,24(8):1547-1552.
[5]马平,李紫君,王凯宸.基于物理平台的多变量控制系统设计与研究[J].科学技术与工程,2016,16(14):217-221.
[6]韦晓儒,王志萍.基于多容惯性标准传递函数的锅炉内胆水温PID控制[J].上海电力学院学报,2015,31(3):288-292.
[7]陈宁,王磊,彭俊洁,等.基于模糊认知网络的改进非线性Hebbian算法[J].控制理论与应用,2016,33(10):1273-1280.
[8]李琦,陈晔明.近似动态规划在双容水箱预测控制中的应用[J].计算机仿真,2014,31(12):308-311.
[9]宋清昆,余杉钰,韩笑.四容水箱的小波神经网络广义预测控制[J].计算机工程与应用,2016,52(16):216-220.
[10]李艳坡,潘丰.相平面分区法在四容水箱液位控制中的应用[J].计算机与应用化学,2012,29(9):1115-1118.
[11]黄勤芳,覃秀凤.自适应预测控制在三容水箱液位系统中的应用[J].机械设计与制造,2017(1):83-86.
[12]张玲.四容水箱混杂系统的建模与预测控制研究[D].南京:南京理工大学,2013.
[13]CHEN H,ALLGOWER F.A quasi-infinite horizon nonlinear model predictive scheme w ith guaranteed stability[J].Automatica,1998,34(10):1205-1217.
[14]席裕庚.动态大系统方法导论[M].北京:国防工业出版社,1988:103-158.