| 基于PI 控制器的线性系统的鲁棒耗散控制 |
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| 引用本文： | 王淑平,张国山.基于PI 控制器的线性系统的鲁棒耗散控制[J].控制与决策,2012,27(8):1139-1144. |
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| 作者姓名： | 王淑平 张国山 |
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| 作者单位： | 1. 天津大学电气与自动化工程学院,天津300072 杭州电子科技大学理学院,杭州310018
2. 天津大学电气与自动化工程学院,天津,300072 |
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| 基金项目： | 国家自然科学基金项目(60674019,61074088) |
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| 摘 要： | 针对参数具有确定性及不确定性的连续系统,给出两种严格耗散PI控制器的设计方法.首先,系统参数确定时,采用线性矩阵不等式方法,导出了类状态反馈和静态输出反馈严格耗散PI控制器存在的充要条件,并由线性矩阵不等式的可行解构造出严格耗散PI控制器增益的显式表达式;然后,考虑系数矩阵均具有范数有界不确定性时的鲁棒严格耗散控制问题,得到相似的结果;最后,通过数值算例表明了所给方法的有效性.
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| 关 键 词： | 线性系统 PI控制器 鲁棒耗散控制 线性矩阵不等式 |
| 收稿时间： | 2011/1/21 0:00:00 |
| 修稿时间： | 2011/5/24 0:00:00 |
Robust dissipative control for linear systems via PI controller |
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| WANG Shu-ping,ZHANG Guo-shan.Robust dissipative control for linear systems via PI controller[J].Control and Decision,2012,27(8):1139-1144. |
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| Authors: | WANG Shu-ping ZHANG Guo-shan |
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| Affiliation: | 1(1.School of Electrical Engineering and Automation,Tianjin University,Tianjin 300072,China;2.School of Science,Hangzhou Dianzi University,Hangzhou 310018,China.) |
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| Abstract: | For the linear systems with and without uncertainty,two PI controllers are designed.Firstly,while considering the linear systems without uncertainty,the necessary and sufficient condition for the existence of quadratic dissipative PI controller of analogous state feedback and static output feedback is derived.And the parametric representation of gains of PI controller is also given.Then the same problems and similar results for linear systems with uncertainty are considered.Finally,a numerical example shows the effectiveness of the proposed method. |
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| Keywords: | linear systems PI controllers robust dissipative control linear matrix inequalities |
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