| 离散奇异摄动系统的正实控制 |
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| 引用本文： | 蔡晨晓,邹云.离散奇异摄动系统的正实控制[J].常州信息职业技术学院学报,2007,6(6):6-8. |
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| 作者姓名： | 蔡晨晓 邹云 |
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| 作者单位： | 南京理工大学自动化学院,江苏,南京,210094 |
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| 摘 要： | 讨论了离散奇异摄动系统的正实控制问题.针对快速采样模型,通过线性矩阵不等式(LMI)方法,给出了系统正实性的充要条件,同时得到了奇异摄动系统的摄动参数的上界.该方法避免了传统的奇异摄动快慢分解方法,而且适用于慢速采样模型.数值算例证明了该方法的有效性.
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| 关 键 词： | 奇异摄动 正实性 线性矩阵不等式 |
| 文章编号： | 1672-2434（2007）06-0006-03 |
| 收稿时间： | 2007-09-04 |
| 修稿时间： | 2007年9月4日 |
Positive Real Control of Discrete Singularly Perturbed System |
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| CAI Chen-xiao,ZOU Yun.Positive Real Control of Discrete Singularly Perturbed System[J].Journal of Changzhou Vocational College of Information Technology,2007,6(6):6-8. |
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| Authors: | CAI Chen-xiao ZOU Yun |
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| Affiliation: | Institute of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | This paper deals with the problem of positive real control for discrete-time singularly perturbed systems. For fast sampling models, a necessary and sufficient existence condition and the corresponding design approach are proposed via linear matrix inequality method. The upper bound of the parameter e is also given. The proposed method is also applicable to slow sam- pling singularly perturbed models. A numerical example is presented to illustrate its effectiveness. |
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| Keywords: | singular perturbed positive real linear matrix inequality |
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