鲁棒模型预测控制在变风量空调系统中的应用.pdf

82013,49(6)
Computer Engineering and Applications 1计算机工程与应用
鲁棒模型顸测控制在变风量空调系统屮的应用
杨世忠…2,任庆昌
YANG Shizhong", REN Qingchang
1.西安建筑科技大学土木工程学院,两安710055
2.青岛理工大学自动化工程学院,山东青岛266520
1. College of Civil Enginccring, Xi an University of Architecture and Technology, Xi an 710055, China
2. Automation Engineering College, Qingdao Technological University, Qingdao, Shandong 266520, China
YANG Shizhong, REN Qingchang. Robust model predictive control for variable air volume air conditioning system.
Computer Engineering and Applicatinns, 2013, 49(6): 8-11
Abstract: The secondary pump differential pressure control in the Variable Air Volume(VA)air conditioning system can efle
tively reduce energy consumption, In order to overcome secondary pump model uncertainty, and improve the response spced
and precision of secondary pump frequency control, it uses robust Model Predictive Control(MPC)strategy bascd on the Linear
Matrix Inequality(LMI The algorithm can be divided into offline and online parts. The upper bound of the objective function
is set as a known quantity which is obtained y offline algorithm, and re-optimizes to get a sequence of asymptotically larger sta
ble invariant ellipsoid sets. According to the measured current state variables online al each sampling period, the position of the
state variables can be accurately located to obtain the system control variable by three adjacent ellipsoid sets. In this paper, the
online optimization theory is proven rigorously. Simulation results indicate that the algorithm is more effective than traditional
algorithm. The experiment results of secondary pump differential pressure control show that the new algorithm can get bigger
feasible domain, faster system response and
ol effe
Key words: variable air volume air conditioning system; model predictive control: di ial pressure control; linear matrix in
equality; robustness; optimization
摘要:在变风量空调系统中二次泵压差控制可以有效地滅少空调能耗,为克服二次泵模型的不确定性,捉高二次泵变频
调速控制的响应遠度和精度,采用基于线性矩阵不等式的鲁棒预测控氟略。算法分为离线和在线两个部分,离线时首
先用传统算法得出目标函数上界,以此为已知量重新优化得到一系列较大的渐近稳定的不变椭圆集。在缆时、每个采样
周期用三个相邻的椭圆集优化来对状态变量进行精确定位,并给出控制量。给出在线优化的理论证明。通过和传统算法
的仿真比較,表明该算法的有效性。二次泵压差控制的实验表明该算法可得到较大的可行城,系统响应快,控制效果好
关键词;变风量空调系统;模型预测控制:压差控制;缆性矩阵不等式;鲁棒性;优化
文献标志:A中图分类号:TP273doi:10.3778jis:.1002-8331.1208-0431
并采用在线优化的方式进行二次泵压差控制,以保证控制
变风量空调系统的能耗中水泵输送能耗占30%左右,的稳定性
水系统的节能对整个变风量空调系统的运行节能有重要
基于线性矩阵不等式(LM1)的鲁棒模型预测控制
的意义。当调水系统阻力较高时,采用二次泵压差控(MPC)可显式描述对象模型的不确定性,根据控制输入和
制,按照空调负荷的变化调节压差,控制的冷冻水供水量,对象输出的约東,采用最小化H标函数最大值的方法来进
可达到节能的要求。预测控制是一种普遍应用的控制方行控制,控制的动态效果和稳定性好,但传统控制算法在
式,但是对象模型存在不确定性时,控制效果不好。本次线计算大,难以满足快速控制的要求。为了解决在线计
设计中采用基于线性矩阵不等式(IMI)的鲁棒预测控制,算负担重的问题,叮将控制算法分为离线和在线方式,离
基金项目:住房和城多建设部科学技术项目(No.2012-Kl-35);陕西省教育厅自然科学专项基金项(No.1JK0906)
作者简介:杨世忠(1973-),男、在读博士,副教授,研究方向为建筑环境技术,建模与智能控制;任庆員(1945-),男、教授,博士生导师,
研究方向为工业过程计算机控制,建筑智能化。E-mail:yszxlila126.com
收日期:2012-09-03修回H期:2012-10-29文学号:1002-8331(2013)06-(0008-04
CNKT出版日期:2012-12-05htrp:/www.cnki.net/kcms/detail?1.2127.TP.20)121205.1652.005htm
万方数据