引用本文:曾建平,程 鹏.降阶正实控制器设计[J].控制理论与应用,2002,19(1):117~120.[点击复制]
ZENG Jianping,CHENG Peng.An Approach to the Design of Positive Real Reduced-Order Controllers[J].Control Theory and Technology,2002,19(1):117~120.[点击复制]
降阶正实控制器设计
An Approach to the Design of Positive Real Reduced-Order Controllers
摘要点击 1570  全文点击 1018  投稿时间：1999-12-13  修订日期：2000-09-12
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DOI编号  10.7641/j.issn.1000-8152.2002.1.025
  2002,19(1):117-120
中文关键词  正实控制  降阶控制器  LMI  连续系统  离散系统
英文关键词  positive real control (PRC)  reduced_order controller  LMI (linear matrix inequality)  continuous_time systems  discrete_time systems
基金项目  国家自然科学基金(69574013); 航空基金(99E51002); 山西省青年基金(19991018)资助项目
作者单位E-mail
曾建平 华北工学院 自动控制系, 太原 030051
北京航空航天大学 自动控制系,北京 100083 		jpzeng@mech.pku.edu.cn 
程 鹏 北京航空航天大学 自动控制系, 北京 100083  
中文摘要
      基于线性矩阵不等式 (LMI)方法, 考虑了连续和离散对象的降阶正实控制器设计问题. 通过一阶对象的分析表明, 广义对象阶是最小阶正实控制器阶的可达上界, 因此降阶正实控制器的存在性依赖于具体对象参数. 给出了一个新的降阶正实控制器阶的上界, 该上界蕴涵了已有结果. 上界的估计是构造性的, 可以给出这种降阶正实控制器的设计算法. 文中给出了简单的算例, 说明本文方法的可行性.
英文摘要
      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.