低温地板辐射采暖系统分析与控制  

Analysis and Control of Low-Temperature Floor Radiant Heating System

作　　者：蔡满军[1] 吴磊[1] 董伟民[1] 

机构地区：[1]燕山大学河北省工业计算机控制工程重点实验室,河北秦皇岛066004

出　　处：《控制工程》2011年第2期185-187,227,共4页Control Engineering of China

基　　金：国家自然科学基金资助项目(20577038)

摘　　要：为了能在稳态且节点数目较多的情况下,对低温地板辐射采暖系统(LFRHS)二维稳态温度场进行快速有效的分析,首先采用五点式有限差分法(FDM),对低温地板辐射采暖系统稳态导热方程组进行离散化,然后在给定初始边界条件下,使用Matlab中的灰度模拟仿真了2 500个矩阵节点的温度变化。为了能对低温地板辐射采暖系统进行更好的动态闭环控制,结合系统时滞精确已知的特点,建立了系统的简化动态冷暖时滞模型,并在解线性矩阵不等式(LMI)的基础上设计了记忆反馈控制器,通过李雅普诺夫函数稳定性证明了系统是闭环有界的。最终仿真结果证明在给定一个外界干扰信号的情况下,对于四维常时滞低温地板辐射采暖系统,所设计带记忆的反馈控制器可使系统较快达到稳定,具有很强的鲁棒性。The control problem of the low-temperature floor radiant heating system （ LFRHS）, with stable mode and multi-nodes is studied. The finite difference method is used to discrete the thermal equations set of stabile LFRHS. The temperature changes OF 2 500 nodes＇ is simulated with given condition by using Matlab. In order to give a better stabile closed loop control, united with the exactly known time lag is a simple time lagged model of the system is obtained based on memory feedback controller is designed. The system closed-loop system is proved to be bourded with the Lyapunov function. The simulation results show that, given the interference signals for the four-dimensional constant delays LFRHS, the designed menmry feedback controller makes the system to achieve stability quickly and has strong robustness.

关 键 词：低温地板采暖 有限差分法 矩阵不等式 记忆反馈 李雅普诺夫函数 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]