| 降阶正实控制器设计 |
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| 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. |
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| 作者姓名： | 曾建平 程 鹏 |
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| 作者单位： | 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）
程鹏（北京航空航天大学自动控制系,北京,100083） |
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| 基金项目： | 基金项目:国家自然科学基金(69574013),航空基金(99E51002)和山西省青年基金(19991018)资助项目. |
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| 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.
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| 关 键 词： | 正实控制 降阶控制器 LMI 连续系统 离散系统 |
| 文章编号： | 1000-8152(2002)01-0117-04 |
| 收稿时间： | 1999/12/13 0:00:00 |
| 修稿时间： | 1999年12月13 |
An Approach to the Design of Positive Real Reduced-Order Controllers |
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| ZENG Jianping and CHENG Peng.An Approach to the Design of Positive Real Reduced-Order Controllers[J].Control Theory & Applications,2002,19(1):117-120. |
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| Authors: | ZENG Jianping and CHENG Peng |
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| Affiliation: | Department of Automatic Control, North China Institute of Technology, Taiyuan, 030051,P.R.China; Department of Automatic Control, Beijing University of Aeronautics & Astronautics, Beijing,100083,P.R.China;Department of Automatic Control, Beijing University of Aeronautics & Astronautics, Beijing,100083,P.R.China |
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| Abstract: | 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. |
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| Keywords: | LMI |
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