%0 Journal Article
%T An Approach to the Design of Positive Real Reduced-Order Controllers<br>降阶正实控制器设计
%A ZENG Jianping
%A CHENG Peng
%A <br>曾建平
%A 程 鹏
%J 控制理论与应用
%D 2002
%I 
%X The problem to design reduced_order positive real (PR) controller with order not greater than that of generalized plants is studied based on LMI for both continuous and discrete time plants. By analyzing the problem for first order plants, it is illustrated that generalized plant order is an achievable upper bound of PR controllers with minimal order for general PR control problem. Hence, the existence of reduced_order PR controllers depends on special plants structure parameters. Moreover, a new upper bound of order for reduced_order PR controllers is proposed, and the bound is not greater than the previous one. Furthermore, an algorithm to construct the controllers can be obtained due to the constructive proofs. Simple example is also given to show the approach is practicable.
%K LMI<br>正实控制
%K 降阶控制器
%K LMI
%K 连续系统
%K 离散系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=1A07B9C6B0B7E813&yid=C3ACC247184A22C1&vid=2A8D03AD8076A2E3&iid=CA4FD0336C81A37A&sid=7555FB9CC973F695&eid=2B5DE8A23DCEED39&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=6