%0 Journal Article
%T Model-set design method with representative points of probability distribution<br>基于概率分布代表点的模型集合设计方法
%A SUN Fu-ming
%A HONG Ri-chang
%A WU Xiu-qing
%A <br>孙福明
%A 洪日昌
%A 吴秀清
%J 控制理论与应用
%D 2009
%I 
%X Multiple-model approach provides the state-of-the-art solutions to many problems involving estimation, filtering and control, etc. The design of a model-set is one of the important problems in the application of the multiple-model algorithm. A new method for designing model-set with representative points of probability distribution is proposed. Based on the given probability distribution of a system mode, the F-discrepancy or quasi F-discrepancy representative points and the mean square error representative points representing the probability distribution of system mode are selected by means of number-theoretic method. The model-set used in a multiple-model approach is then constructed. Model-set design in one-dimensional space and two-dimensional space is also given. Finally, simulation results show the performance of the model-set designed.
%K model-set
%K number-theoretic method
%K representative points
%K discrepancy<br>模型集合
%K 数论方法
%K 代表点
%K 偏差
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=4674903963A7AC35AFDEB9D4FA570F5B&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=94C357A881DFC066&sid=D93AD940782892D0&eid=03436AC72A659ACA&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=10