| 线性对象的正实控制问题 |
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| 引用本文： | 郭雷,忻欣,冯纯伯.线性对象的正实控制问题[J].自动化学报,1997,23(5):577-583. |
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| 作者姓名： | 郭雷 忻欣 冯纯伯 |
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| 作者单位： | 1.东南大学自动化所,南京 |
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| 基金项目： | 国家自然科学基金,国家教委留学回国人员专项基金 |
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| 摘 要： | 在时域中考虑线性对象的正实控制(PRC)问题.对于一般的广义对象,在状态空间
中提出了一个基于线性矩阵不等式(LMI)的统一处理PRC问题的方法,指出’PRC问题可解
的充分必要条件是与系统的实现有关的三个LMI可解,并可利用LMI的解构造出所有的正
则PR控制器.此外还提出了降价PR控制器的存在条件并讨论了可行的综合方法.
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| 关 键 词： | 线性系统 正实性 线性矩阵不等式 降价控制器 |
| 收稿时间： | 1996-10-30 |
The Positive Real Control Problem for Generalized Linear Plants |
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| Guo Lei,Xin Xin,Feng Chunbo.The Positive Real Control Problem for Generalized Linear Plants[J].Acta Automatica Sinica,1997,23(5):577-583. |
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| Authors: | Guo Lei Xin Xin Feng Chunbo |
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| Affiliation: | 1.Research Insitute of Automation,Southeast University,Nanjing |
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| Abstract: | This paper considers the positive real control(PRC) problem for generalized linear plants without any additional assumptions.A unified linear matrix inequality(LMI) based approach to PRC problems in proposed.It is shown that this problem is solvable if and only if three LMIs have positive definite solutions.All desired PR controllers can be parameterized via the solutions of LMIs.Moreover,an existence condition and design method of low order positive real controllers are obtained based on the above LMI approach. |
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| Keywords: | Positive realness linear system matrix inequality reduced order controller |
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