%0 Journal Article
%T Time-space ARX modeling and predictive control for distributed parameter system<br>分布参数系统的时空ARX建模及预测控制
%A HUA Chen
%A LI Ning
%A LI Shao-yuan
%A <br>华晨
%A 李柠
%A 李少远
%J 控制理论与应用
%D 2011
%I 
%X For a class of distributed parameter systems described by parabolic partial differential equations (PDEs), we investigate their modeling and control by using the input-output data. Based on the characteristics of parabolic PDEs, the Karhunen-Loève (K-L) decomposition method is applied to extract the dominant spatial basis functions of the system, which is in turn employed for executing the time-space decomposition. After the time-space decomposition, a temporal auto-regresive model with external input (ARX) model is identified by using the temporal coefficients obtained from the decomposition along with the excitation input signal. A generalized predictive controller is developed based on this ARX model. Simulation results show that this control method results in desirable performances for a distributed parameter system.
%K distributed parameter system
%K time-space decomposition
%K ARX model
%K general predictive control
%K leastsquares identification<br>分布参数系统
%K 时空分解
%K ARX模型
%K 广义预测控制
%K 最小二乘辨识
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=21567333E5794BF571BD801FAE4A5ED8&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=59906B3B2830C2C5&sid=A22DD5EE0F220B37&eid=ADAF655E679AEBA1&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0