| 具有干扰输入的不确定奇异系统的有限时间控制器设计 |
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| 引用本文： | 冯俊娥,吴臻,孙甲冰.具有干扰输入的不确定奇异系统的有限时间控制器设计[J].自动化学报,2005,31(4):634-637. |
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| 作者姓名： | 冯俊娥 吴臻 孙甲冰 |
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| 作者单位： | 1.School of Mathematics and System Sciences, Shandong University,Jinan 250100 |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofP.R.China(60374021,60474103and60474001),Mathe-maticsTianyuanFoundationofP.R.China(10426021),andOutstandingMid-YoungScientistPrizeFoundationofShandongProvince(03BS097) |
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| 摘 要： | The concept of finite-time stability for linear singular system isinduced in this paper. Finite-time control problem is considered for linear singular systems with time-varying parametricuncertainties and exogenous disturbances. The disturbance satisfies a dynamical system with parametric uncertainties. Asufficient condition is presented for robust finite-ime stabilization via state feedback. The condition is translated to a feasibility problem involving restricted linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example is given to show the validity of the results.
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| 关 键 词： | Finite-time stability linear singular systems parametric uncertainties exogenous disturbances LMI |
| 收稿时间： | 2004-2-24 |
| 修稿时间： | 2004年2月24日 |
Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances |
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| FENG Jun-e,WU Zhen,SUN Jia-Bing.Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances[J].Acta Automatica Sinica,2005,31(4):634-637. |
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| Authors: | FENG Jun-e WU Zhen SUN Jia-Bing |
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| Affiliation: | 1.School of Mathematics and System Sciences, Shandong University,Jinan 250100 |
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| Abstract: | The concept of finite-time stability for linear singular system isinduced in this paper. Finite-time control problem is considered for linear singular systems with time-varying parametricuncertainties and exogenous disturbances. The disturbance satisfies a dynamical system with parametric uncertainties. Asufficient condition is presented for robust finite-ime stabilization via state feedback. The condition is translated to a feasibility problem involving restricted linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, an example is given to show the validity of the results. |
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| Keywords: | Finite-time stability linear singular systems parametric uncertainties exogenousdisturbances LMI |
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