| 一类控制问题的降阶控制器设计 |
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| 引用本文： | 曾建平,程鹏.一类控制问题的降阶控制器设计[J].自动化学报,2002,28(2):267-271. |
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| 作者姓名： | 曾建平 程鹏 |
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| 作者单位： | 1.北京航空航天大学自动控制系,北京 |
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| 基金项目： | 国家自然科学基金 (695 740 1 3 )，山西省青年科学基金 (1 9991 0 1 8)资助 |
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| 摘 要： | 基于线性矩阵不等式(LMI,1inear matrix inequalities),考虑了线性时不变对象的一类
控制问题的降阶控制器设计问题.给出了一个新的降阶控制器阶的上界,该上界适用于标准和
奇异控制两种情形.证明是构造性的,可以给出降阶控制器的构造方法.给出了简单的例子,说
明该方法的可行性和正确性.
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| 关 键 词： | LMI 降阶控制器 H∞控制 鲁棒控制 |
| 收稿时间： | 1999-3-18 |
| 修稿时间： | 1999年3月18日 |
DESIGN REDUCED-ORDER CONTROLLERS FOR A CLASS OF CONTROL PROBLEMS |
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| ZENG Jian-Ping,CHENG Peng.DESIGN REDUCED-ORDER CONTROLLERS FOR A CLASS OF CONTROL PROBLEMS[J].Acta Automatica Sinica,2002,28(2):267-271. |
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| Authors: | ZENG Jian-Ping CHENG Peng |
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| Affiliation: | 1.Department of Automatic Control,Beijing University of Aeronautics&Astronautics,Beijing |
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| Abstract: | The problem to design reduced order controllers for a class of control problems is studied for linear time invariable plants based on LMI(linear matrix inequalities). A new upper bound of the order for reduced order controllers is proposed. The bound is applicable to both standard and singular control problems. Due to the constructive proof, an algorithm to construct the controller can be obtained. Finally, simple examples are given to show practicality and correctness of this approach. |
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| Keywords: | LMI |
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