| 奇异摄动系统的鲁棒控制与仿真研究 |
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| 引用本文： | 庞松,王洪卫,陆桂明. 奇异摄动系统的鲁棒控制与仿真研究[J]. 计算技术与自动化, 2005, 24(4): 19-22 |
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| 作者姓名： | 庞松 王洪卫 陆桂明 |
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| 作者单位： | 天津大学自动化学院,天津,300072;河北省财政厅信息处,河北,石家庄,050000;华北水利水电大学,河南,郑州,450008 |
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| 摘 要： | 研究参数不确定奇异摄动系统的状态反馈镇定问题，得到基于线性矩阵不等式（LMI）的系统状态反馈可镇定的充分条件，给出状态反馈控制器的设计算法。算例验证了该方法的可行性与有效性。而且，这种方法同时适用于标准奇异摄动系统和非标准奇异摄动系统的控制。最后通过例子进行了详细的仿真研究。
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| 关 键 词： | 线性矩阵不等式(LMI) 鲁棒控制 奇异摄动 |
| 文章编号： | 1003-6199（2005）04-0019-04 |
| 收稿时间： | 2005-01-21 |
| 修稿时间： | 2005-01-21 |
Robust Control of Singularly Perturbed Systems and Simulations |
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| PANG Song,WANG Hong-wei,LU Gui-ming. Robust Control of Singularly Perturbed Systems and Simulations[J]. Computing Technology and Automation, 2005, 24(4): 19-22 |
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| Authors: | PANG Song WANG Hong-wei LU Gui-ming |
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| Affiliation: | 1. Department of Automation, Tianjin University, Tianjin 300072, China; 2. Hebei Provincial Finance Bureau Information Center, Shijiazhuang 050000, China; 3. Department of Computer, North China Institnte of Water Conservoncy and Hydroelectric Power, Zhengzhou 450008, China |
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| Abstract: | The state feedback stabilization problem of singularly perturbed systems with parameter uncertainties is discussed, Using the LMI technique, a sufficient condition to state feedback stabilizability is derived and a design algorithm of state feedback stabilizing controllers is presented. The proposed design method is suitable for both standard and nonstandard singularly perturbed systems. Finally, a simulated example is given to show the feasibility and validity of this approach. |
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| Keywords: | linear matrix inequality(LMI) robust control singularly perturbed systems |
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