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Guaranteed Cost Control of a Class of Linear Stochastic Systems on the Basis of Robust Analysis
作者姓名:PU Xing-cheng  WANG Ji-feng  YING Bang-yong  YANG Chun-de
摘    要:This paper discusses the guaranteed cost control of a class of linear stochastic systems on the research of uncertain linear systems.The authors give the definition of this linear stochastic systems' guaranteed cost control,by using Ito formula and linear matrix inequality,combined its square-stability,under the supposition of the square stability of this kind of linear stochastic system,gets the accordingly guaranteed cost control condition.The conclusion is,if the linear stochastic system is square-stability,then its guaranteed cost control exists.Finally,the problem of designing a optimal guaranteed cost control can be turned into a convex optimal problem.

关 键 词:stochastic  system    robust    the  guaranteed  cost  control    linear  matrix  inequality
收稿时间:4/5/2005 12:00:00 AM
修稿时间:4/5/2005 12:00:00 AM

Guaranteed Cost Control of a Class of Linear Stochastic Systems on the Basis of Robust Analysis
PU Xing-cheng,WANG Ji-feng,YING Bang-yong,YANG Chun-de.Guaranteed Cost Control of a Class of Linear Stochastic Systems on the Basis of Robust Analysis[J].Storage & Process,2005(9):68-70.
Authors:PU Xing-cheng  WANG Ji-feng  YING Bang-yong  YANG Chun-de
Abstract:This paper discusses the guaranteed cost control of a class of linear stochastic systems on the research of uncertain linear systems.The authors give the definition of this linear stochastic systems' guaranteed cost control,by using Ito formula and linear matrix inequality,combined its square-stability,under the supposition of the square stability of this kind of linear stochastic system,gets the accordingly guaranteed cost control condition.The conclusion is,if the linear stochastic system is square-stability,then its guaranteed cost control exists.Finally,the problem of designing a optimal guaranteed cost control can be turned into a convex optimal problem.
Keywords:stochastic system  robust  the guaranteed cost control  linear matrix inequality
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