摘要
The concept of finite-time stability for linear singular system is induced 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 para-metric uncertainties. A su?cient condition is presented for robust finite-time stabilization via statefeedback. The condition is translated to a feasibility problem involving restricted linear matrix in-equalities (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.
The concept of finite-time stability for linear singular system is induced 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 para-metric uncertainties. A su?cient condition is presented for robust finite-time stabilization via statefeedback. The condition is translated to a feasibility problem involving restricted linear matrix in-equalities (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.
出处
《自动化学报》
EI
CSCD
北大核心
2005年第4期634-637,共4页
Acta Automatica Sinica
基金
SupportedbyNationalNaturalScienceFoundationofP.R.China(60374021,60474103and60474001),Mathe-maticsTianyuanFoundationofP.R.China(10426021),andOutstandingMid-YoungScientistPrizeFoundationofShandongProvince(03BS097)
关键词
有限时间控制
线性单一系统
稳定性
不确定参数
外因扰动
Finite-time stability, linear singular systems, parametric uncertainties, exogenousdisturbances, LMI
