| 参数不确定性奇异系统的鲁棒H∞控制 |
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| 引用本文： | 徐胜元,牛玉刚,杨成梧.参数不确定性奇异系统的鲁棒H∞控制[J].自动化学报,2001,27(3):397-400. |
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| 作者姓名： | 徐胜元 牛玉刚 杨成梧 |
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| 作者单位： | 1.南京理工大学动力工程学院,南京 |
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| 基金项目： | 南京理工大学科研发展基金，国家教委博士点基金资助项目 |
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| 摘 要： | 利用线性矩阵不等式,通过引入广义二次可镇定且具有H∞性能指标的概念,得到
了在状态反馈作用下,参数不确定性奇异系统鲁棒H∞控制律的存在条件.所得的状态反馈
控制律保证闭环系统正则、无脉冲、稳定且满足给定的H∞性能指标.
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| 关 键 词： | 参数不确定性 奇异系统 鲁棒H∞控制 状态反馈 线性矩阵不等式 |
| 收稿时间： | 1999-2-11 |
ROBUST H∞ CONTROL FOR SINGULAR SYSTEMS WITH PARAMETER UNCERTAINTY |
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| XU Sheng-Yuan,NIU Yu-gang,YANG Cheng-wu.ROBUST H∞ CONTROL FOR SINGULAR SYSTEMS WITH PARAMETER UNCERTAINTY[J].Acta Automatica Sinica,2001,27(3):397-400. |
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| Authors: | XU Sheng-Yuan NIU Yu-gang YANG Cheng-wu |
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| Affiliation: | 1.School of Power Engineering,Nanjing University of Science and Technology,Nanjing |
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| Abstract: | This paper is concerned with the problems of robust H∞ control for uncertain singular systems.The system under consideration is subjected to time-varying norm-bounded uncertainties in both state and input matrices.The problem we address is the design of state feedback controllers such that the closed-loop system is regular，impulse-free，as well as satisfying a prescribed H∞ norm bound constraint for all admissible uncertainties.In the light of the notion of 'generalized quadratic stabilizability with H∞ performance index'，the robust H∞ control problem is solved; furthermore，the desired robust H∞ state feedback control law can be constructed in terms of solutions to a certain linear matrix inequality. |
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| Keywords: | Uncertain singular systems robust H∞ control state feedback linear matrix inequalities |
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